The exact value for each trigonometric function are -12/13, -5/13 and 12/5
To find the reference angle, we can use the properties of right triangles. We can draw a line from the point (-5, 12) to the x-axis to form a right triangle. The hypotenuse of the triangle is the distance from the point (-5, 12) to the origin, which is the square root of the sum of the squares of the x and y coordinates:
√((-5)² + 12²) = 13
The reference angle is the acute angle between the x-axis and the adjacent side of the triangle, which is the x-coordinate of the point (-5, 12) divided by the hypotenuse:
cosθ = -5/13
θ = arccos(-5/13)
θ ≈ 2.214 radians
The angle's standard form is given by the equation:
θ = n(2π) ± α
where n is an integer, and α is the angle's reference angle. Since the point (-5, 12) is in the second quadrant, the angle's terminal side intersects the unit circle at an angle of θ = π + α. Therefore, the standard form of the angle is:
θ = (2n + 1)π - arccos(-5/13)
To find the exact value of the trigonometric functions of this angle, we can use the properties of the unit circle. Since the sine function is positive in the second quadrant, we have:
sinθ = sin(π + α) = -sinα = -12/13
Similarly, since the cosine function is negative in the second quadrant, we have:
cosθ = cos(π + α) = -cosα = -5/13
Finally, since the tangent function is the ratio of the sine and cosine functions, we have:
tanθ = tan(π + α) = -tanα = 12/5
To know more about trigonometric function here
https://brainly.com/question/6904750
#SPJ4
Stephanie took her family out to Texas Roadhouse and is getting ready to pay the dinner bill. The bill is $57. 50. If she plans on leaving an 18% tip, what is the total dinner cost?
To calculate the total dinner cost, we need to add the bill amount to the tip amount.
The tip amount is 18% of the bill amount:
Tip = 0.18 x $57.50 = $10.35
Therefore, the total dinner cost is:
Total Cost = Bill Amount + Tip Amount
Total Cost = $57.50 + $10.35
Total Cost = $67.85
So, the total dinner cost including the 18% tip is $67.85.
To know more about total costs , refer here :
https://brainly.com/question/30355738#
#SPJ11
In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class has a brother?
Has a brother Does not have a brother
Has a sister 4 2
Does not have a sister 12 10
The probability that a student chosen randomly from the class has a brother is approximately 0.143 or 14.3%.
What is the probability that a student chosen randomly from the class has a brother?To find the probability that a student chosen randomly from the class has a brother, we need to look at the number of students who have a brother and divide it by the total number of students in the class.
From the given data table, we see that there are a total of 4+2+12+10=28 students in the class. Out of these, 4 students have a brother. Therefore, the probability that a student chosen randomly from the class has a brother is:
P(having a brother) = Number of students having a brother / Total number of students
= 4 / 28
= 1/7
≈ 0.143
Learn more about probability
brainly.com/question/30034780
#SPJ11
Which equation best represents the relationship between x and y in the graph?
Answer:
B
Step-by-step explanation:
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given we can see that the line intersects with the Y-Intercept at (0,3), we can use process of elimination and erase answer choices A and D.
Now we are left with answr choices B and C, lets see where the line intersects with the X axis.
Helpful Tip:
If the line intersects with the X-Axis in between whole numbers, like for example this line intersects between 1 and 2, the slope will always be a fraction, which in this case the only fraction that we have left in answer choice B, which leads us to our answer.
The number cube shown is rolled and the spinner shown is spun. Find P(5 and blue).
The probability to get 5 and blue that is the value of P(5 and blue) = 1/24.
Hence the correct option is (B).
From the definition of Probability we can know that,
Probability of an event = (The number of outcomes favorable to the event)/(Total number of outcomes)
Here, Sample space if we roll a dice = {1, 2, 3, 4, 5, 6}
Total number of outcomes = 6
5 is one of the face value of dice.
The probability to get 5 on dice as face value = 1/6.
So, P(5) = 1/6
In picture we can see that there is total 4 space that are one blue and two yellow and one green space.
So the probability spinner land on blue space = 1/4
So, P(blue) = 1/4
Roll of dice and spin a spinner are two independent events as their outcomes do noy rely on each other.
Now the probability to get 5 and blue is given by,
= P(5 and blue)
= P(5)*P(blue)
= (1/6)*(1/4)
= 1/(6*4)
= 1/24
Hence the correct option is (B).
To know more about independent events here
https://brainly.com/question/27692683
#SPJ1
A cylindrical swimming pool has a diameter of 12 feet and a height of 4 feet. How many gallons of water can the pool contain? Round your answer to the nearest whole number. (1 ft3 ≈ 7. 5 gal)
The number of gallons of water the pool can contain is approximately 3393 gallons.
To find the amount of water in gallons the pool can contain, we must find the volume of the cylindrical swimming pool, you can use the formula:
Volume = π * r² * h
Where r is the radius (half the diameter), and h is the height.
In this case, r = 12 feet / 2 = 6 feet, and h = 4 feet.
Volume = π * (6 ft)² * 4 ft ≈ 452.39 ft³
To convert cubic feet to gallons, use the given conversion factor (1 ft³ ≈ 7.5 gal).
Volume ≈ 452.39 ft³ * 7.5 gal/ft³ ≈ 3392.93 gal
Rounding to the nearest whole number, the pool can contain approximately 3393 gallons of water.
Learn more about volume here: https://brainly.com/question/27535498
#SPJ11
Use the properties of sigma notation and the summation formulas to evaluate the given sum: 15 [ili2 – 21 +1) – 4] i=1
The sum is equal to 18600.
How to find summation?
Let's first simplify the expression inside the brackets:
(i^2 - 21 + 1) - 4 = i^2 - 24
Now we can write the sum using sigma notation:
15 Σ (i^2 - 24), i=1
Using the summation formulas of the first n squares, we have:
Σ i^2 = n(n+1)(2n+1)/6
So, substituting n = 1 to 15, we get:
15 Σ i^2 = 15 Σ n(n+1)(2n+1)/6
Now, let's use the formula for the sum of the first n integers:
Σ i = n(n+1)/2
Substituting n = 1 to 15, we get:
Σ i = 1 + 2 + ... + 15 = 15(15+1)/2 = 120
Substituting these formulas into our original expression, we have:
15 Σ (i^2 - 24), i=1
= 15 [Σ i^2 - 24Σ i], i=1
= 15 [15(15+1)(2(15)+1)/6 - 24(120)]
= 15 [1240]
= 18600
Therefore, the sum of 15 (i^2 - 24) from i = 1 to 15 is equal to 18600.
Learn more about summation
brainly.com/question/29156854
#SPJ11
Consider the function y = 5x3 - 9x2 + 9x + 10. Find the differential for this function.
The differential for the function y = 5x^3 - 9x^2 + 9x + 10 is dy/dx = 15x^2 - 18x + 9.
Given function,
y = 5x^3 - 9x^2 + 9x + 10.
Process of finding differential:
2. Differentiate the function with respect to x:
dy/dx = d(5x^3)/dx - d(9x^2)/dx + d(9x)/dx + d(10)/dx
3. Apply the power rule for differentiation (d(x^n)/dx = n*x^(n-1)):
dy/dx = 3*(5x^2) - 2*(9x) + 9
4. Simplify the expression:
dy/dx = 15x^2 - 18x + 9
So, the differential for the function y = 5x^3 - 9x^2 + 9x + 10 is dy/dx = 15x^2 - 18x + 9.
To know more about Differentiation:
https://brainly.com/question/24898810
#SPJ11
Find the radius of the cylinder. Round to the nearest whole centimeter.
The cylinder has a height of 6 centimeters and a radius of r1. The volume of the cylinder is 302 cubic centimeters.
___ centimeters
Answer:
To find the radius of the cylinder, we can use the formula for the volume of a cylinder, which is pi*(r1^2)*h, where r1 is the radius and h is the height. Given that the cylinder has a height of 6 centimeters and a volume of 302 cubic centimeters, we can solve for r1 by dividing the volume by pi times the height, and then taking the square root of the result. After rounding to the nearest whole centimeter, the radius of the cylinder is approximately 5 centimeters.
MARK AS BRAINLIEST!!!
Suppose that 6 thank-you notes are written and 6 envelopes are addressed. Accidentally, the notes are randomly inserted into the envelopes and mailed without checking the addresses. What is the probability that all the notes will be inserted into the correct envelopes? The probability is (Type an integer or decimal rounded to six decimal places as needed.) A county park system rates its 20 golf courses in increasing order of difficulty as bronze, silver, or gold. There are only two gold courses and twice as many bronze as silver courses. Complete parts (A) and (B) below. (A) If a golfer decides to play a round at a silver or gold course, how many selections are possible? There is/are possible selection(s). (Type a whole number.) (B) If a golfer decides to play one round per week for 3 weeks, first on a bronze course, then silver, then gold, how many combined selections are possible? There is/are possible selection(s). (Type a whole number.)
For the first question:
There are 6 notes and 6 envelopes, so there are 6! (or 720) possible ways to insert the notes into the envelopes. Only one of these ways will result in all notes being inserted into the correct envelopes. Therefore, the probability is 1/720 or 0.001389.
For the second question:
(A) There are 2 gold courses and twice as many bronzes as silver courses, so there are 2 + 2x + x = 20 courses in total, where x is the number of silver courses. Solving for x, we get x = 6. Therefore, there are 2 + 6 + 12 = 20 possible courses to select from if the golfer decides to play a round at a silver or gold course.
(B) If the golfer decides to play one round per week for 3 weeks, there are 12 possible combinations of courses to play. To see why, consider the following cases:
Week 1: bronze, Week 2: silver, Week 3: gold
Week 1: bronze, Week 2: gold, Week 3: Silver
Week 1: silver, Week 2: bronze, Week 3: gold
Week 1: silver, Week 2: gold, Week 3: bronze
Week 1: gold, Week 2: bronze, Week 3: Silver
Week 1: gold, Week 2: silver, Week 3: bronze
Each case has 2 possible choices for the bronze course, 6 possible choices for the silver course, and 2 possible choices for the gold course, for a total of 2 x 6 x 2 = 24 possible combinations. However, since the order of the courses doesn't matter, we must divide by 3! (or 6) to get rid of the extra permutations. Therefore, there are 24/6 = 4 possible combinations for each case, giving a total of 6 x 4 = 24 possible combinations of courses to play.
Learn more about probability, here:
brainly.com/question/13604758
#SPJ11
Find the minimum value of the average cost for the given cost function on the given intervals C(x)=x3 + 36x +432 (a) 1 sxs 10 (b) 10 5 x 20 (a) The minimum value of the average cost over the interval 15%$ 10 is N. (Round to the nearest tenth as needed. Do not include the $ symbol in your answer)
The minimum value of the average cost over the interval (1, 10).To find the minimum value of the average cost, we first need to find the average cost function.
The average cost is given by:AC(x) = C(x) / x
Substituting the given cost function, we get:
AC(x) = (x^3 + 36x + 432) / x
Simplifying this expression, we get:
AC(x) = x^2 + 36 + 432/x
Now, we need to find the minimum value of this function on the given intervals. To do this, we take the derivative of the function and set it equal to zero:
AC'(x) = [tex]2x - 432/x^2[/tex] = 0
Solving for x, we get:
x = [tex](216)^{(1/3)[/tex] ≈ 6.89
This critical point lies within the interval (1, 10), so we need to check the endpoints as well as this critical point to determine the minimum value of the average cost.
Calculating the values of the average cost at these three points, we get:
AC(1) = 469
AC(6.89) ≈ 51.9
AC(10) = 78.4
Therefore, the minimum value of the average cost over the interval (1, 10) is approximately $51.9. Note that this value is rounded to the nearest tenth as requested.
To know more about Cost functions:
https://brainly.com/question/29583181
#SPJ11
Peter owns a currency conversion shop.
Last Monday, Peter changed a total of £20,160 into a number of different currencies.
He changed
3/10
of the £20,160 into euros.
He changed the rest of the pounds into dollars, rupees and francs in the ratios 9:5:2
Peter changed more pounds into dollars than he changed into francs.
Work out how many more.
If Peter changed more pounds into dollars than he changed into francs then Peter changed £6,168 more into dollars than into francs.
First, we need to find out how much money Peter changed into euros:
(3/10) × £20,160 = £6,048
Next, we need to find out how much money Peter changed into dollars, rupees, and francs combined:
£20,160 − £6,048 = £14,112
We can use the ratios to find out how much of this total amount goes to each currency:
- Dollars: (9/16) × £14,112 = £7,932
- Rupees: (5/16) × £14,112 = £4,420
- Francs: (2/16) × £14,112 = £1,764
We can see that Peter changed more pounds into dollars than into francs. To find out how many more, we can subtract the amount changed into francs from the amount changed into dollars:
£7,932 − £1,764 = £6,168
To know more about dollars refer to
https://brainly.com/question/2202418#
#SPJ11
Last question find measure of arc Su
Check the picture below.
[tex]52x=\cfrac{154-50x}{2}\implies 104x=154-50x\implies 154x=154\implies x=\cfrac{154}{154} \\\\\\ x=1\hspace{9em}\stackrel{ 50(1) }{\widehat{SU}=50^o}[/tex]
CDE is a tangent to the circle below.
Calculate the size of angle θ.
Fully Justify your answer.
Applying the inscribed angle theorem, the measure of the size of angle ∅ = 85 degrees.
How to Apply the Inscribed Angle Theorem?If an inscribed angle in a circle is subtended by an arc, the inscribed angle theorem states that the measure of the intercepted arc would be twice the measure of the inscribed angle.
Therefore, we have:
measure of arc DF = 2(31) = 62 degrees [inscribed angle theorem]
measure of arc BD = 2(54) = 108 degrees.[inscribed angle theorem]
∅ = 1/2(measure of arc BDF) [inscribed angle theorem]
∅ = 1/2(m(DF) + m(BD))
Substitute:
∅ = 1/2(62 + 108)
∅ = 1/2(170)
∅ = 85 degrees.
Learn more about inscribed angle theorem on:
https://brainly.com/question/20764250
#SPJ1
What is 524/125 written as a decimal?
Answer:
C)4.192
Step-by-step explanation:
What is 524/125 written as a decimal?
We Take
524 divided by 125 = 4.192
So, the answer is C)4.192
Marcus estimated the mass of a grain of sugar as 6 x 10-4 gram. Based on that
estimate, about how many grains of sugar are there in a small bag of sugar
that weighs 0. 24 kilogram?
There are 400,000 grains of sugar in a small bag of sugar that weighs 0.24 kilograms.
To find out how many grains of sugar are there in a small bag of sugar that weighs 0.24 kilograms, based on Marcus' estimate, follow these steps:
1. Convert the mass of the bag of sugar from kilograms to grams: 0.24 kg * 1000 g/kg = 240 g.
2. Use Marcus' estimate of the mass of a grain of sugar: 6 x 10^-4 g.
3. Divide the total mass of the bag of sugar by the mass of a single grain of sugar: 240 g / (6 x 10^-4 g/grain).
Now, let's perform the calculation:
240 g / (6 x 10^-4 g/grain) = 240 g / 0.0006 g/grain = 400,000 grains.
To learn more about weight
https://brainly.com/question/15468401
#SPJ11
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The proper options provided for the required equation of a circle is
x2 + (y – 3)2 = 36x2 + (y + 8)2 = 36How to find the equation of the circleAt the center of the circle there rests a y-axis, so its x-coordinate is equal to 0.
The formula for a specified circle with coordinates (0, k) and radius r is
(x - 0)² + (y - k)² = r²
Therefore, the equation ends up categorically signified by:
x2 + (y – 3)2 = 36
x2 + (y + 8)2 = 36
Learn more about equation of a circle at
https://brainly.com/question/1506955
#SPJ1
On a number line, point A is located at -3 and point B is located at 19. Find coordinate of a point between A and B such that the distance from A to point B is 3/11 of distance A to B
The coordinate of a point between A and B, such that the distance from A to point B is 3/11 of distance A to B, is 1.
Let's denote the unknown point between A and B as P, and let the distance from A to P be x. Then the distance from P to B is (11/3)x. Since the distance from A to B is 19 - (-3) = 22, we have the equation x + (11/3)x = 22(3/11), which simplifies to (14/3)x = 6, or x = 9/7. Therefore, the coordinate of point P is -3 + (9/7)(19 - (-3)) = 1.
To check our answer, we can verify that the distance from A to P is (10/7)(22) and the distance from P to B is (1/7)(22)(11), and that (10/7)(22) = (3/11)(22), which is indeed true.
For more questions like Distance click the link below:
https://brainly.com/question/15172156
#SPJ11
The function f(x) = 454 + 0.9x gives the cost, in dollars, of manufacturing x vinyl records. select all the true statements. the initial cost for manufacturing records depends on the quantity ordered. the initial cost for the manufacturing is $454, regardless of the number of records ordered. in addition to the initial cost, each record costs $0.90 to manufacture. in addition to the initial cost, each record costs $454 to manufacture. each record costs a total of $454.90 to manufacture.
The true statements are:
The initial cost for manufacturing records is $454, regardless of the number of records ordered.
In addition to the initial cost, each record costs $0.90 to manufacture.
Each record costs a total of $454.90 to manufacture.
As according to the question the function f(x)= 454+0.9x gives the cost, in dollars, of manufacturing x vinyl records.
Hence the incorrect statements are:
"The initial cost for manufacturing records depend on the quantity ordered".
"in addition to the initial cost, each record costs $454 to manufacture".
To know more about questions related to function:
https://brainly.com/question/28371350
#SPJ4
a) Calculate the scale factor from shape A to shape B.
b) Find the value of t.
Give each answer as an integer or as a fraction in its simplest form.
A
5 cm
15 cm
7cm
B
12 cm
4cm
t cm
a). The scale factor of shape A to B is 4/5
b) The value of t is 5.6cm
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
Scale factor = dimension of new length/ dimension of old length
= 4/5 = 12/15
therefore the scale factor of from shape A to shape B is 4/5.
b) 4/5 = t/7
5t = 28
divide both sides by 5
t = 28/5
t = 5.6 cm
therefore the value of t is 5.6cm
learn more about scale factor from
https://brainly.com/question/25722260
#SPJ1
The human gestation times have a mean of about 266 days, with a standard deviation of about 10 days. Suppose we took the average
gestation times for a sample of 100 women.
days
Where would the center of the histogram be?
What would the standard deviation of that histogram?
My sample shows a mean of 264. 8 days. What is my z-score?
days (Round to the thousandth place)
My sample shows a mean of 264. 8 days. What is my z-score?
(Round to the tenth place)
The z-score is -1.2, rounded to the tenths place.
The center of the histogram would be around the population mean of 266 days.
The standard deviation of the histogram would be the standard error of the mean, which is the standard deviation of the population divided by the square root of the sample size. Thus, the standard deviation of the histogram would be 10 / sqrt(100) = 1 day.
To calculate the z-score for a sample mean of 264.8 days, we can use the formula:
z = (sample mean - population mean) / (standard deviation / sqrt(sample size))
Substituting the given values, we get:
z = (264.8 - 266) / (10 / sqrt(100)) = -1.2
Therefore, the z-score is -1.2, rounded to the tenths place.
To learn more about population visit:
https://brainly.com/question/24786731
#SPJ11
Your local high school is putting on a musical. They have sold 1000 tickets. Adult tickets
were sold for $8. 50, while child tickets were sold for $4. 50. A total of $7100 was
collected from ticket sells. How many tickets of each kind were sold?
650 adult tickets and 350 child tickets were sold for the local high school musical.
To determine how many adult and child tickets were sold for the local high school musical, you can use a system of linear equations. Let's use the terms "x" for adult tickets and "y" for child tickets.
1. The total number of tickets sold is 1000, so we have:
x + y = 1000
2. The total amount collected from ticket sales is $7100, so we have:
8.50x + 4.50y = 7100
Now, let's solve this system of equations step-by-step:
Step 1: Solve the first equation for x:
x = 1000 - y
Step 2: Substitute the expression for x from Step 1 into the second equation:
8.50(1000 - y) + 4.50y = 7100
Step 3: Simplify the equation:
8500 - 8.50y + 4.50y = 7100
Step 4: Combine like terms:
-4.00y = -1400
Step 5: Divide both sides by -4.00:
y = 350
Step 6: Substitute the value of y back into the expression for x from Step 1:
x = 1000 - 350
Step 7: Calculate the value of x:
x = 650
So, 650 adult tickets and 350 child tickets were sold for the local high school musical.
To learn more about equations
https://brainly.com/question/29174899
#SPJ11
A tile maker makes triangular tiles for a mosaic. Two triangular tiles form a square. what is the area of one of the triangular tiles
Answer: [tex]\frac{x^2}{2}[/tex]
Step-by-step explanation:
If two of the tiles form a square together, then one of them must be half of a square. this means that the square is split diagonally.
If you've ever done trigonometry, you'll know this is a 45-45-90 special right triangle. The side lengths are in the ratio of x, x, and xsqrt(2).
so we know the area of one of these tiles will be [tex]\frac{x^2}{2}[/tex], where x is the side length of the square formed.
Drag each tile to the correct box. arrange the samples in order starting with the sample that gives the least variation from the expected value and ending with the sample that gives the greatest variation. tiles sample a: a sample of 10 peoplesample b: a sample of 50 peoplesample c: a sample of 100 peoplesample d: a sample of 20 people sequence , , ,
The correct sequence for the samples in order of least variation to greatest variation is:
Sample A: A sample of 10 people
Sample D: A sample of 20 people
Sample B: A sample of 50 people
Sample C: A sample of 100 people
The reason for this sequence is that larger sample sizes tend to provide more accurate estimates of the population parameters, while smaller sample sizes are more prone to random fluctuations and sampling error.
Therefore, sample A (with the smallest sample size of 10) is likely to have the greatest variation from the expected value, while sample C (with the largest sample size of 100) is likely to have the least variation from the expected value.
To know more about "Sample size" refer here:
https://brainly.com/question/30526686#
#SPJ11
11
Differentiate the function and find the slope of the tangent line at the given value of the independent variable s=8-41², 1=-3 s'(t)=0 The slope of the tangent line is at t= -3.
The slope of the tangent line to the function [tex]s(t) = 8 - 41t^2[/tex] at t = -3 is 246.
Process of finding slope:1. Differentiate the function s(t) with respect to the independent variable t: [tex]s(t) = 8 - 41t^2[/tex].
2. Calculate the derivative s'(t).
3. Evaluate the derivative at the given value of t.
Step 1: Differentiate the function [tex]s(t) = 8 - 41t^2[/tex].
To differentiate this function, we apply the power rule for differentiation.
The derivative of a constant (8) is 0, and the derivative of 41t^2 is -82t
(since we multiply the exponent 2 by the coefficient 41 and then subtract 1 from the exponent).
Step 2: Calculate the derivative s'(t).
s'(t) = 0 - 82t
Step 3: Evaluate the derivative at the given value of t (t = -3).
s'(-3) = -82(-3) = 246
The slope of the tangent line to the function [tex]s(t) = 8 - 41t^2[/tex] at t = -3 is 246.
To know more about Slope:
https://brainly.com/question/3605446
#SPJ11
What is the area of the figure?
Answer: 27 inches sq.
Step-by-step explanation:
3*3=9
2*9=18
18+9=27
A neighborhood watch association surveyed 40 neighbors about their feelings of safety in the neighborhood. They will survey an additional 80 neighbors. Based on the information, predict how many of the 80 neighbors will feel safe?
We can predict that around 50 of the additional 80 neighbors will feel safe in the neighborhood.
To make a prediction about the number of neighbors who will feel safe, we need to know the proportion of the initial 40 neighbors who felt safe. Let's say that 25 of the 40 neighbors surveyed felt safe.
Then, we can estimate the proportion of the larger group of 120 neighbors (the initial 40 plus the additional 80) who will feel safe as follows:
proportion feeling safe = number feeling safe / total number surveyed
proportion feeling safe = 25 / 40
proportion feeling safe = 0.625
We can use this proportion to estimate the number of the 80 additional neighbors who will feel safe:
number feeling safe = proportion feeling safe x total number surveyed
number feeling safe = 0.625 x 80
number feeling safe ≈ 50
So based on the information given, we can predict that around 50 of the additional 80 neighbors will feel safe in the neighborhood.
Know more about predict here:
https://brainly.com/question/30695336
#SPJ11
Portfolio for Unit 5
Part 1: Car Wheel Project
For the Portfolio for Unit 5 Part 1, the Car Wheel Project, you'll want to include several key components.
First, be sure to include a detailed description of the project itself, including any goals or objectives you had in mind when you started. This could include things like improving your engineering or design skills, learning more about the materials used in car wheels, or simply creating a visually impressive final product.
Next, include some documentation of your process as you worked on the project. This might include sketches, diagrams, or photos of different stages of the process. Be sure to highlight any challenges or roadblocks you encountered along the way, and how you overcame them.
Finally, be sure to include a final showcase of your completed car wheel project. This might include photos of the finished product from different angles, a video demonstrating how it works or how it was made, or even a physical prototype that you can bring in to show off.
Overall, the key to a successful portfolio for the Car Wheel Project is to demonstrate your creativity, your technical skills, and your ability to work through challenges and solve problems.
To learn more about project, refer below:
https://brainly.com/question/29564005
#SPJ11
Unit 5 Portfolio Car Wheel Project Answer the following questions: 1. How do you find the area of a circle?
2. How do you find the circumference of a circle?
3. What information do you need in order to find the area or circumference of a circle
4. To determine the number of full rotations your tires complete before you need to switch thefront and back tires, will you be working with area or circumference?
Answer:
How do you find an area of a crilce?
-Use the formula A=[tex]\pi r^2[/tex]
How do you find the cirumference of a cirlce?
-Use the formula c=2[tex]\pi r[/tex]
What information do you need in order to find the area or circumference of a cirlce?
-I believe it's the diameter.
To determine the number of full rotations your tires complete before you switch the front and back tires will you be working with area or circumference?
-Circumference. Because ifts the distance around something, like a circle, or a wheel.
(My three examples of the circumference of tires)
Bike:
C=2(3.14)r
C=2 (3.14) 8
C=50.24
Car:
C=2(3.14)r
C=2 (3.14) 20
C=125.6
Scooter:
C=2(3.14)r
C=2 (3.14) 3
C=18.24
(My tire rotations how far you'll go in 10,000 miles)
car-
20x3.1416=62.83
10,000/62.83= 159.2
scooter-
3x3.1416=9.4248
10,000/9.4248=1,061
bike-
8x3.1416=25.13
10,000/25.13=397.9
Using one of your vehicles how far can you get in a week?
-We're driving the car with twenty inch wheels and we're going seventy miles an hour. So in a week we would have driven 490 miles.
When will you need to change your tires?
-When we reach 225 miles we'd change the tires. Because these tires are heavier than the average tire they're wear out faster.
I hope this helps!!! Let me know if you need some help with anything else.
I’m confused as to what the solution is if I follow the first step
Answer:
x = 4, y = 1, z = 5
Step-by-step explanation:
z + x =9....(3) we can say it's x + z = 9
x - z = - 1
x + z = 9
______ -
- 2z= - 10
z = 10/2
z = 5
if z + x = 9
5 + x = 9
x = 9 - 5
x = 4
if x + y = 5
4 + y = 5
y = 5 - 4
y = 1
#CMIIWsecθ in simplest radical form.
The value of secθ in simplest radical form is:
[tex]sec\theta = -\frac{\sqrt{61} }{5}[/tex]
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
[tex]r = \sqrt{x^{2} +y^2}[/tex]
Here, x = -5 and y = -6
The secant can be found by the following trigonometric relation:
[tex]sec\theta = \frac{1}{cos\theta}[/tex]
[tex]sec\theta = \frac{1}{\frac{x}{r} }\\ \\sec\theta = \frac{r}{x}\\ \\sec\theta = \frac{\sqrt{x^{2} +y^2} }{x}\\ \\sec\theta =\frac{\sqrt{(-5)^2+(-6)^2} }{-5}\\ \\sec\theta = -\frac{\sqrt{61} }{5}[/tex]
The secant function ‘or’ Sec Theta is one of the trigonometric functions apart from sine, cosine, tangent, cosecant, and cotangent. In right-angled trigonometry, the secant function is defined as the ratio of the hypotenuse and adjacent side.
Now , the secθ functions:
[tex]sec\theta = -\frac{\sqrt{61} }{5}[/tex]
Learn more about Radical form at:
https://brainly.com/question/30260621
#SPJ1
The given question is incomplete, complete question is:
If θ is an angle in standard position and its terminal side passes through the point (-5,-6), find the exact value of secθ in simplest radical form.
A baseball pitcher records 153 strikeouts in
his first year pitching. Since then, the
number of strikeouts for this pitcher has
decreased by 31% per year. If this trend
continues, what is an upper limit on the total
of strikeouts over the pitcher's lifetime?
If a baseball pitcher records 153 strikeouts in his first year pitching with the number of strikeouts decreasing by 31% yearly, and if the trend continues, the upper limit on the total of strikeouts over the pitcher's lifetime is 153.
What is the upper limit?The upper limit refers to the maximum value possible.
The initial number of recorded strikeouts = 153
The annual decay rate = 31%
Decay factor = 0.69 (1 - 0.31)
Let the number of strikeouts in the year = y
Let the number of years of pitching = x
Equation:y = 153(0.69)^x
For instance, if x = 3, y = 153(0.69)^3
y = 50
Learn more about the upper limit at https://brainly.com/question/25739974.
#SPJ1
