PLZ HELP ON THIS AH its another trigonometry question:
An airplane flies 55 degrees east of north from city A to city B, a distance of 470 miles. Another airplane flies 7 degrees north of east from city A to city C, a distance of 890 miles. What is the distance between cities B and C?
Answers
Answer:
523.8 miles
Step-by-step explanation:
The drawing attached represents the question. We create a triangle with the distances from each pair of cities, and we call the distance from B to C by 'd'.
First, we need to find the angle BAC:
55° + BAC + 7° = 90°
BAC = 28°
Then, we can use the law of cosines to find the value of d:
d^2 = 470^2 + 890^2 - 2*470*890*cos(BAC)
d^2 = 470^2 + 890^2 - 2*470*890*0.8829
d^2 = 274365.86
d = 523.8 miles
Related Questions
Some students are trying to write an expression with fewer terms that is equivalent to 8 - 3(4 - 9x). Noah says, "I worked the problem from left to right and ended up with 20 - 45x." 8 - 3(4 - 9x) 5(4 - 9x) 20 - 45x Lin says, "I started inside the parenthesis and ended up with 23x." 8 - 3(4 - 9x) 8 - 3(-5x) 8 + 15x 23x Jada says, "I used the distributive property and ended up with 27x - 4." 8 - 3(4 - 9x) 8 - (12 - 27x) 8 - 12 - (-27x) 27x - 4 Andre says, "I also used the distributive property, but I ended up with -4 - 27x." 8 - 3(4 - 9x) 8 - 12 - 27x -4 - 27x Do you agree with any of them? Explain your reasoning.
Answers
Answer: Yes I agree with Jada. His approach is correct.
Step-by-step explanation: The question requires the student to write an equivalent equation with fewer terms. Nonetheless, this does not prevent applying a mathematically correct approach.
(1) Noah is wrong and the reason is that the initial step is mathematically incorrect. The expression on the right hand side reads 3(4 - 9x), therefore starting with "8 - 3" is very wrong. The right step was to take one side which is 8 and take the other side which is 3(4 - 9x).
(2) Lin is wrong and the reason is that she started inside the parenthesis and this also is mathematically incorrect. The digits inside the parenthesis are "not like terms" and hence calculating 4 - 9x = -5x is very incorrect (the same way you cannot correctly calculate 500 metres minus 200 inches. You must make sure they are both in meters or in inches, that is both must be like terms).
(3) Jada is very correct in using the distributive property and ended up with the only correct solution. The digits on the right hand side of the expression was solved first and that resulted in -12 + 27x. The reason being that the number outside the parenthesis which is -3, multiplied both digits inside the parenthesis. The minus sign had a major effect, and after simplifying the right hand side the expression now becomes;
8 - 12 + 27x
Since the like terms are 8 and 12, you can simplify further to become
- 4 + 27x OR the expression can be rearranged as 27x - 4
(4) Andre is not correct and the reason is that although he used the distributive property, he made a slight mistake while solving for the right side of the expression. What Andre did was
-3(4 - 9x)
-12 - 27x
Remember that when a negative value multiplies another negative value the answer is positive. Therefore -3 times -9x should have been +27x, just like Jada did as shown above.
From that point onward, his answer would be incorrect.
Answer:
^ man straight up earns brainliest at this point
Find the value of x in the triangle shown below
Answers
Explanation: Both sides are equal, each triangle is 180 degrees. If I subtract the 80 from the 180 it becomes 100. I would then divide 100 by 2 since both sides are equal and it would make both sides 50 degrees.
56 has how many 2\3's in it
Answers
Answer:
Two thirds of 56 is simply two thirds times 56, which can be written as follows:
Two/thirds x 56
Furthermore, you can convert "two" to "2" and "thirds" to "3" and then the equation and answer is:
2/3 x 56 = 37.33
Step-by-step explanation:
The multiplication of the numbers 56 and 2/3 will be 37.33.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
The numbers are given below.
56 and 2/3
Then the multiplication of the numbers 56 and 2/3 will be
⇒ 56 x (2/3)
⇒ 112/3
⇒ 37.33
Thus, the multiplication of the numbers 56 and 2/3 will be 37.33.
More about the Algebra link is given below.
https://brainly.com/question/953809
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solution of the system of equations.
4x + 5y = 13
W
8x + 7y = 11
Answers
Answer:
so the answer is y=5,x=-3
Gross Pay: $1287.50 Calculate Federal Income Tax (10% of Gross Pay):
Answers
Answer:
$128.75
Step-by-step explanation:
Gross Pay = $1287.50
Income Tax = 10% of Gross Pay
Income Tax = 10% of $1287.50
Income Tax = 10/100 * $1287.50 = $128.75
Thus, federal income tax is $128.75.
Each student (input) has a unique student ID number (output) . Function or not a function
Answers
Step-by-step explanation:
not function because students has unique id
Answer:
Not function
Step-by-step explanation:
Yumi conducted a survey at her school in which she asked her fellow students several questions about their interests and preferences. One of the questions in her survey was, “what is your favorite sport?” Yumi displayed the responses to this question in the circle graph shown.
Answers
Answer:
70
Step-by-step explanation:
15% said hockey and 10% said gymnastics which together is 25% of the students.
25% of 280 is 70.
3x+15=35
best answer plez
Answers
Answer: x= 6.6667
Step-by-step explanation:
subtract 15 on both sides=20
divide 3 on both sides
Answer:
6.666
Step-by-step explanation:
put the fractions in order smallest to largest
7/10, 2/3 , 4/5, 11/15
Answers
Answer:
Step-by-step explanation:
2/3, 7/10, 11/15, 4/5
Sandra is a lawyer. She is working on x number of cases. She gets 8 more cases to work on. She now has more than 29 cases that she is working on. Which inequality could be used to figure out how many cases Sandra is working on? * Answers. 8x > 29 x + 8 29 x - 8 < 29
Answers
Answer:
The inequality that can be used to figure out how many cases Sandra is working on is: [tex]x + 8 > 29[/tex]
Step-by-step explanation:
She is working on "x" cases, then she adds 8 more to that number, therefore it is "x + 8" and we also know that the total number of cases she's working is more than 29, in other words, it is greater than 29. With this in mind we can create the following inequality:
[tex]x + 8 > 29[/tex]
The inequality that can be used to figure out how many cases Sandra is working on is: [tex]x + 8 > 29[/tex]
How to graph inequalities
Answers
Answer:
1) Rearrange the equation so "y" is on the left and everything else on the right.
2) Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3) Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
Step-by-step explanation:
find a six rational numbers between 9 and 10
Answers
Answer:
9 = (9 x 8)/8 = 72/8
10 =(10 x 8)/8 = 80/8
=> Six rational numbers between 9 and 10 could be selected as:
73/8, 74/8, 75/8, 76/8, 77/8, 78/8
Hope this helps!
:)
The number of viewers for a new television show are modeled by the following function, where V(t) represents the number of
viewers, in tens of thousands, and t represents the number of months since the show's debut.
V(t) = -8\n(t + 1) + 50
What does the y-intercept of V(t) represent?
Answers
Answer: 10000.23
Step-by-step explanation:
the sum of 3 and 5, divided by 4
Answers
Answer:
2
Step-by-step explanation:
Answer:
the answer is 2
Step-by-step explanation:
3+5=8
8÷4=2
Kevin says that lines p and m will eventually intersect.
Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n.
Is Kevin correct?
No, because they are non-coplanar.
No, because they are parallel.
Yes, because they are perpendicular.
Yes, because they are coplanar.
Answers
Answer:
No, because they are parallel.
Kevin says that lines p and m will eventually intersect. The statement is incorrect because lines p and m are parallel.
What are parallel and perpendicular lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.
It is given that lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n.
In the image attached with the answer below it is observed that the two lines p and m are in the same plane and are parallel to each other.
Therefore, the statement given by Kevin is incorrect.
To know more about parallel and perpendicular lines follow
brainly.com/question/7098341
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please help quick !!
Answers
-0.45 x + 0.33 = -0.66
Adding -0.33 to both sides
-0.45 x = -0.99
Dividing both sides by -0.45
x = -0.99 / -0.45 = 2.2
Answer: x = 2.2, last choice
Explanation:
Solve for q.
0.48 + 5.7q = 6.3q
q =
Answers
Answer:
[tex] \boxed{q = 0.8} [/tex]
Step-by-step explanation:
[tex] = > 0.48 + 5.7q = 6.3q \\ \\ = > 6.3q = 5.7q + 0.48 \\ \\ = > 6.3q - 5.7q = 0.48 \\ \\ = > 0.6q = 0.48 \\ \\ = > q = \frac{0.48}{0.6} \\ \\ = > q = 0.8[/tex]
Answer:
q = 0.8
Step-by-step explanation:
isolate the variable and solve
A population of 350 animals has a growth rate of 5% each year. Write a exponential function to model the situation.
Answers
Answer: A =350 (1.05)^t
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form; 5/100=0.05)
t= years
A = population after t years
Replacing with the values given:
A = 350 (1+0.05)^t
A =350 (1.05)^t
Feel free to ask for more if needed or if you did not understand something.
What is the value of x?
Answers
Answer:
50 = x
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
105 = 55+x
Subtract 55 from each side
105-55 = 55-55+x
50 = x
Answer:
A
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
105° is an exterior angle of the triangle , thus
x + 55 = 105° ( subtract 55 from both sides )
x = 50° → A
A school has a track that is made up of a rectangle with two semicircles at each end, as pictured. The perimeter of the track, P, is 395 m. The rectangular part of the track will be covered with grass. The grass comes in pieces that each have an area of 1.35 square metres. Determine the minimum number of pieces of grass required to cover the rectangular part of the track.
Answers
Answer:
4502 pieces of grass
Step-by-step explanation:
The radius of the semicircle is 36 meters, so its perimeter is:
Perimeter = pi * radius = 113.097 m
The perimeter of both semicircles is 2 * 113.097 = 226.194 m
So if the total perimeter is 395, the length of the rectangle is:
395 = 226.194 + 2*length
2*length = 168.8
length = 84.4 m
The width of the rectangle is 2 times the radius of the semicircle, so:
width = 2 * 36 = 72 m
Then the area of the rectangle is:
Area = length * width = 84.4 * 72 = 6076.8 m2
To find the number of grass pieces, we divide the rectangle area by the grass piece area:
number of pieces = 6076.8 / 1.35 = 4501.33 pieces
So we will need 4502 pieces to cover the rectangular area.
how do you rotate this for it to look the same.
Answers
Answer:
90°
Step-by-step explanation:
when u rotate it up to 90° I think it will look the same
Based on the formula that you developed in question 3, what is the area of the circle? How do you know your answer is correct? Explain.
Answers
Answer:
Area is πr²
Step-by-step explanation:
The area of a circle is given as
A = πr²
Where r, which is half of the circumference of the circle, is the radius of the circle.
Where π = 3.14...
Answer:
πr2.
Step-by-step explanation:
The shape changed, but the amount of space inside the shape remained the same. The space inside the parallelogram is the same as the space, or area, inside the circle. The area of the circle is 0.5 × circumference × radius = πr2.
On any particular Saturday evening, the probability that Hannah will go to the movies and go for a coffee is 1/3. The probability that she will go for a coffee, given that she has gone to the movies, is 4/7.
What is the probability that she will go to the movies on any particular Saturday evening
Answers
Answer:
7/20
Step-by-step explanation:
Which linear function has the steepest slope? On a coordinate plane, a line goes through points (0, 3) and (4, 2). y = negative 0.1 x minus 5 A 2-column table with 5 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled y with entries 0, 0.5, 1.0, 1.5, 2.0. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 6, negative 2, 1, 7, 9. Column 2 is labeled y with entries 6.6, 4.2, 2.4, negative 1.2, negative 2.4.
Answers
Answer:
Its answer d
Step-by-step explanation:
I took the quiz
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28.
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, and 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, and negative 28.
The answer is option D.
What is the slope of a linear function?Slope measures the rate of change in the dependent variable as the independent variable changes. The greater the slope the steeper the line. Consider the linear function: y = a + bx. b is the slope of the line.
What does a steeper slope mean?A steeper slope in a graph means that the rate of change is faster.
Learn more about linear function here: brainly.com/question/2418168
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Alan is at an ice cream shop. The shop offers three types of cones (regular, waffle, and chocolate), and two flavors of ice cream (chocolate and strawberry).
The ice cream shop has a special on a random cone and ice cream flavor picked by a computer program. What is the probability that Alan will get waffle cone with strawberry ice cream if he asks for the special? (Round the answers to the nearest hundredth.)
Answers
There is a 1 in 6 chance.
Answer:
0.17
Step-by-step explanation:
You have 120 feet of fencing for a garden. The fencing is sold in 5-foot sections. What is the area of the largest garden you can build?
Answers
A square typically has the larger area than a rectangle of similar size.
120 / 4 sides = 30 feet per side
30 x 30 = 900 square feet
please help with this question fast
Answers
Answer:
A. (-1, 3)
Step-by-step explanation:
→A solution is when the two lines on the graph intersect at a certain point. Looking at this graph, you can clearly see that the lines intersect at the point of (-1, 3).
This means the correct answer is "A."
What is the mean absolute deviation of this data set?
4, 8 , 3, 8, 7, 10, 9
Answers
Answer: Mean Absolute Deviation (MAD): 7
Hope this helps u!
Have a good day and stay safe!
Answer:
7
Step-by-step explanation:
[tex]\frac{3+4+7+8+8+9+10}{7}[/tex]
[tex]\frac{49}{7}[/tex]
49 ÷ 7 = 7
In pentagon $MATHS$, $\angle M \cong \angle T \cong \angle H$ and $\angle A$ is supplementary to $\angle S$. How many degrees are in the measure of $\angle H$?
Answers
Answer:
H = 120°
Step-by-step explanation:
The sum of the internal angles of a polygon with n sides is given by the formula:
S = (n-2)*180
So, for a pentagon, we have n = 5, then:
S = (5-2)*180 = 540°
So we have that:
M + A + T + H + S = 540° (eq1)
M = T = H (eq2)
A + S = 180° (eq3)
Using the second and third equation in the first one, we have:
H + H + H + 180 = 540
3H = 360
H = 120°
?me no understand help mee
Answers
Answer:
I believe it would be C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
In the beginning it is increasing then it decreased but you look at the end which is staying the same
Hope this helps plz mark brainliest
