Helllllppp please asap
Answer:
1). a = 9.42 m
2). b = 6.37 m
3). c = 4.48 m
Step-by-step explanation:
In the figure attached,
By applying tangent rule in triangle ADE,
tan47 = [tex]\frac{h}{c}[/tex]
c = [tex]\frac{h}{\text{tan}47}[/tex]
c = [tex]\frac{4.8}{\text{tan}47}[/tex]
c = 4.476
c ≈ 4.48 m
Now we apply the same rule in triangle ACE,
tan37° = [tex]\frac{h}{b}[/tex]
b = [tex]\frac{h}{\text{tan}37}[/tex]
b = [tex]\frac{4.8}{1.0724}[/tex]
b = 6.37 m
Now apply the tangent in triangle ABE,
tan27° = [tex]\frac{h}{a}[/tex]
a = [tex]\frac{h}{\text{tan}27}[/tex]
a = [tex]\frac{4.8}{0.5095}[/tex]
a = 9.42 m
write the following using algebraic notation, using the letter x for any unknown numbers: I think of a number,subtract four then divide by three
Answer:
Step-by-step explanation:
Let the number be x
Therefore the expression is (x-4)/3
Hope this helps
Plz mark it as brainliest!!!!!
Answer:
[tex]\displaystyle \frac{x-4}{3}[/tex]
Step-by-step explanation:
The number is represented through the letter x.
I think of a number, subtract four, then divide by three.
Subtract four will be - 4
Divide by three will be /3
[tex]\frac{x-4}{3}[/tex]
PLEASE SOMEONE HELP ME WITH THIS QUESTION ANYONE!!!!
In Edward's Excellent Store, everything is 25% off. You buy a jacket that is originally for $36. When you go to the cashier, you pay 6% sales tax. How much do you pay in all?
A.$62.82
B.$28.62
C.$38.96
D.$76.83
Answer:
$28.62
Step-by-step explanation:
$36.00/4=$9.00*1.06=$28.62
Simplify (13n2+11n−2n4)+(−13n2−3n−6n4) . Write the answer in standard form
Answer:
NaN ×10°
Step-by-step explanation:
Steps:
Let's simplify step-by-step.
13n2+11n−2n4−13n2−3n−6n4
=13n2+11n+−2n4+−13n2+−3n+−6n4
Combine Like Terms:
=13n2+11n+−2n4+−13n2+−3n+−6n4
=(−2n4+−6n4)+(13n2+−13n2)+(11n+−3n)
=−8n4+8n
Answer: =−8n4+8n
Convert to standard form: NaN ×10°
Hope this helps.
a Simplified form of expression (13n²+11n−2n⁴)+(−13n²−3n−6n⁴) in the standard notation is n(2³ - n³).
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given an expression (13n²+11n−2n⁴)+(−13n²−3n−6n⁴)
Let's simplify it step-by-step.
13n²+11n−2n⁴−13n²−3n−6n⁴
=> 13n²+11n−2n⁴−13n²−3n−6n⁴
Combine Like Terms:
=> 13n²+11n−2n⁴−13n²−3n−6n⁴
=> 8n - 8n⁴
=>n(2³ - n³)
Therefore, a Simplified form of expression (13n²+11n−2n⁴)+(−13n²−3n−6n⁴) in the standard notation is n(2³ - n³).
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solve:
7w+5=3w -15 please help
Answer:
w=−5
Step-by-step explanation:
Step 1: Subtract 3w from both sides.
7w+5−3w=3w−15−3w
4w+5=−15
Step 2: Subtract 5 from both sides.
4w+5−5=−15−5
4w=−20
Step 3: Divide both sides by 4.
4w4=−204
Answer: w=−5
Hope this helps.
Answer:
w =-5
Step-by-step explanation:
Group the variables and constant on each side
remember that the signs will change while switching the places.
7w-3w=-15-5
4w=-20
divide the coefficient to keep only the variable and find its value
4÷4w= -20÷4
w= -5
therefore w is -5
The measure of an interior angle of a regular polygon is 120°. How many sides does the polygon have?
A. 5 B. 6 C. 3 D. 4
please hurry
Use absolute value to express the distance between −10 and 16 on the number line.
Answer: 26
Step-by-step explanation:
From -10 to 0 will be 10
1 to 16 are 16
Answer:
Step-by-step explanation:
There are several things you need to know in order to write the absolute value equation for a situation. First is how to formulate what you need. The absolute value equation follows the formatting:
| x - midpoint | = the distance between the midpoint and one of the endpoints.
That means we also need to be able to find the midpoint of -10 and 16. Finding the midpoint is finding the middle, which is the same as finding an average of the 2 numbers.
[tex]M=\frac{-10+16}{2}=3[/tex]
So the midpoint is 3. The distance between 3 and either one of the endpoints is going to be the same, by definition of the midpoint of the 2 numbers. The distance between 3 and 16 is 13 units. The distance between 3 and -10 is also 13 units. So, to put this into an absolute value equation,
| x - 3 | = 13
SOMEONE HELP ME PLEASE BECAUSE I NEED IT ASAP!!!!!!!
Some doctors recommend that no more than 30% of a person's daily calories come from fats. Following this recommendation, if you eat 2,400 calories in a day, what is the maximum number of calories that should come from fats?
Show your work below: Go back to this question
A:750
B:1,680
C:2,370
D:720
Answer:
D 720
Step-by-step explanation:
Take the max calories and multiply by the percent
2400*30%
Change to decimal form
2400 *.30
720
The vertical line graph shows how often each number on a standard dice comes up. What percentage of rolls were a 6?
Answer:
21%
Step-by-step explanation:
Out of the 25 + 9 + 12 + 21 + 12 + 21 = 100 total rolls, 6 came up 21 times so the percentage is 21/100 = 21%.
[10 points] Find the number of ways of arranging the letters of EQUATION, so that all the vowels are in alphabetical order.
Answer: The number of ways of arranging the letters of EQUATION, so that all the vowels are in alphabetical order = 336 .
Step-by-step explanation:
Given word = "EQUATION"
Total letters = 8
Total Vowels (EUAIO)=5
Total number of ways to arrage letters = 8!
Number of ways to arrange vowels in alphabetical order = 5!
Then, The number of ways that all the vowels are in alphabetical order will be :
[tex]\dfrac{8!}{5!}=\dfrac{8\times7\times6\times5!}{5!}=336[/tex]
Hence, the number of ways of arranging the letters of EQUATION, so that all the vowels are in alphabetical order = 336 .
what transformations were applied to ABCD to obtain A'B'C'D'?
Answer:
the answer is C
Step-by-step explanation:
Rotate 90 degrees counterclockwise , the translate three units to the left
Option C is the correct transformation to transform ABCD to A'B'C'D'.
What are rotation and translation?Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.Rotation
Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.
Vertical Translation
After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.
Horizontal Translation
The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.
Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.
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NEED ASAP! A fountain sprays water into a pool as part of the filtration system. The projected path of water is modeled by the function given in the table, where x represents the time in seconds since the water left the fountain and f(x) represents the height in feet above the pool’s water line. How many seconds does the water travel through the air? A. –6 B. 1.5 C. 3 D. 5
Answer:
The correct answer is C. the water goes through the air for only 3 seconds.
D is inncorrect because if the height of the water is negative, then it is no longer in the air.
Step-by-step explanation:
Answer:
the answer is C. 3
Step-by-step explanation:
What is the square root of -1?
a. -i
b. i
c. -1
d. 1
Round to the nearest hundredth
Answer:
hope this is correct
Answer:
AC ≈ 2.87
Step-by-step explanation:
Using the sine ratio in the right triangle
sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{5}[/tex]
Multiply both sides by 5
5 × sin35° = AC , thus
AC ≈ 2.87 ( to the nearest hundredth )
Find −5 5/6÷(−4 9/10). Write your answer as a mixed number in simplest form.
(NOT A NUMBERLINE)
Answer: [tex]1\dfrac{4}{21}[/tex] .
Step-by-step explanation:
Given problem : [tex]\left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)[/tex]
First we convert mixed fraction into improper fractions as
[tex]-5\dfrac{5}{6}=-\dfrac{5\times6+5}{6}=-\dfrac{30+5}{6}=-\dfrac{35}{6}\\-4\dfrac{9}{10}=-\dfrac{10\times4+9}{10}=-\dfrac{40+9}{10}=-\dfrac{49}{10}[/tex]
Now , plug these values in the given expression , we get
[tex]\left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)=-\dfrac{35}{6}\div\left(-\dfrac{49}{10}\right)\\\\=\dfrac{-35}{6}\times\dfrac{-10}{49}\ \ \ [\text{By Property of fraction}]\\\\=\dfrac{350}{294}\\\\=\dfrac{25}{21}=1\dfrac{4}{21}[/tex]
Hence, the answer is [tex]1\dfrac{4}{21}[/tex] .
What is the length of the side AC in the triangle above
Which function has the smallest x-intercept value, if it exists? A. f(x) = 3x – 9 B. f(x) = 1/x + 4 C. f(x) = root x+1 D. f(x) = x2
Answer:
C
Step-by-step explanation:
yeah its C
The requried function with the smallest x-intercept value is C. f(x) = √(x+1), which has an x-intercept of -1.
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
Here,
The x-intercept is the point where the graph of a function intersects the x-axis. At this point, the value of y is 0. To find the x-intercept of each function, we set y equal to 0 and solve for x.
A. f(x) = 3x – 9
0 = 3x – 9
3x = 9
x = 3
B. f(x) = 1/x + 4
0 = 1/x + 4
-4 = 1/x
x = -1/4
C. f(x) = √(x+1)
0 = √(x+1)
x = -1
D. f(x) = x²
0 = x²
x = 0
Therefore, the function with the smallest x-intercept value is C. f(x) = √(x+1), which has an x-intercept of -1.
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What ratio can you use to determine the probability of a compound event?
Drag words to complete the ratio. Each word may be used only once.
Answer:
Step-by-step explanation:
Favorable outcome. To possible outcome
Find sin, where the angle is shown
Give the exact value, not a decimal approximation
Answer:
sinΘ = [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex]
The opposite is 24, but we require the hypotenuse h
Using Pythagoras' identity
h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
h = [tex]\sqrt{625}[/tex] = 25
Thus
sinΘ = [tex]\frac{24}{25}[/tex]
At which value in the domain does f(x) = 0?
Answer:-infinity,infinity
Step-by-step explanation:
None
I don't understand this at all TwT
Answer:
$30
Step-by-step explanation:
since there is no sales tax,
Amount of money used to pay
= change + total price of items bought
Let's find the total price of the items she bought.
Chicken
1 package ----- $12.36
2 packages ----- 2($12.36)= $24.72
Broccoli
1 pound ----- $1.98
½ pound ----- $1.98 ÷2= $0.99
Milk
1 gallon ----- $3.49
Total amount paid
= $24.72 +$0.99 +$3.49
= $29.20
Thus, amount of money Susan used to pay
= $29.20 +$0.80
= $30
I need some help asap!
Answer:
I think itd center of rotataion
Step-by-step explanation:
Answer:
center of rotation
Step-by-step explanation:
the triangle ABC is rotated about point D to create triangle A'B'C'
Select the correct answer.
Lewis saved $450 for a new laptop. At a local computer store, Lewis decides to purchase a laptop with a sticker price of $429.99. The sales tax rate that will apply at the time of purchase is 6%. Does Lewis have enough to purchase the laptop?
A.
No, the cost of the laptop after applying sales tax is $687.98.
B.
No, the cost of the laptop after applying sales tax is $558.99.
C.
No, the cost of the laptop after applying sales tax is $455.79.
D.
Yes, the cost of the laptop after applying sales tax is $429.99.
E.
Yes, the cost of the laptop after applying sales tax is $402.20.
Answer:
c
Step-by-step explanation:
find 6%
429.99*6/100= 25.7994
Total cause of the laptop
429.99+25.7994= 455.79
No, the cost of the laptop after applying sales tax is $455.79.(option c)
What is Sales tax ?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
We have,
Lewis saved dollar for a new laptop = 450 dollar
Laptop sticker price = 429.99 dollar
Sales tax rate = 6%
According to the question
Sales tax rate of 429.99 dollar
=429.99 × 6/100
= 25.7994
Total cause of the laptop
429.99+25.7994= 455.79
Hence, the cost of the laptop after sales tax is 455.79 dollar
Thus ,Lewis have not enough to purchase the laptop.
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[tex] \frac{200}{l - 12} = \frac{300}{l - 9} [/tex]
Step-by-step explanation:
Hope the Answer is helpful
what is the y-intercept of y=-3x-2
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thank me...
The softball in the mitt is 5.2 inches in diameter. What is its volume?
Answer: 72.9 in^3
Step-by-step explanation:
The softball is a sphere, and we know that the volume of a sphere is:
V = (4/3)*pi*r^3
where pi = 3.14 and r is the radius.
We also know that the radius is half the diameter, and the diameter is 5.2 in
r = 5.2in/2 = 2.6in
Then the volume is:
V = (4/3)*pi*(2.6in)^3 = 72.9 in^3
The correct answer is 73.6 in^3
What is the median of the first half of the data? (first quartile)
The median of the given data is 4.5
How to find the median of data?The median of data are values in the middle after rearrangement. Since we are not given a set of data, let us use the following data
2, 3, 5, 9, 4, 5, 3, 11
Arrange the given data
2, 3, 3, 4, 5, 5, 9, 11
From the arranged data , 4 and 5 are at the middle. Take the average
Average =(4+5)/2
Average = 9/2 = 4.5
Hence the median of the given data is 4.5
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quadratic function and equation
Answer:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.
Step-by-step explanation:
hope this helps you :)
Explain how to determine the zeros of f(x)=(x+3)(x-1)
Answer:
x= -3, x = 1
Step-by-step explanation:
Zeros are values of x, when f(x) = 0.
0=(x+3)(x-1)
x+3 = 0, x - 1=0
x= -3, x = 1
Answer:
x = -3, x = 1
Step-by-step explanation:
To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.
In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.
As such, these are your solutions.
A circular garden has a circumference of 113 yards. Lars is digging a straight line along a diameter of the garden at a rate of 9 yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for π and round the diameter to the nearest whole number, if necessary.
Answer:3hrs 59min
Step-by-step explanation:
πd=perimeter
(113÷3.14)
=35.99
9yards=1hr
35.99yards=?
35.99÷9=3hrs 59min
