Answer:
A
Step-by-step explanation:
Joint variation is given by:

Where k is some constant.
We are given that y = 360 when x = 4 and z = 10. Therefore:

Solving for k:

Therefore, our equation is:

Then when x = 5 and z = 12:

The answer is A.
Answer:
10) - 45 degrees
12) 0 degrees
Step-by-step explanation:
10)
Find the x and y components that define the vector that joins C with D:
x-component: -4 - (-8) = - 4 + 8 = 4
y-component: 4 - 8 = -4
use the tangent function to find the angle
:

12)
Find the x and y components that define the vector that joins A with B:
x-component: 7 - 4 = 3
y-component: - 1 - (-1) = -1 + 1 = 0
use the tangent function to find the angle
:

Answer:
A. 2,310 sq ft
Step-by-step explanation:
<u>R</u><u>e</u><u>c</u><u>t</u><u>e</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>b</u><u>e</u><u>l</u><u>o</u><u>w</u><u>:</u>
- A = l × b
- A = 74 × 15
- A = 1,110ft
<u>Rectangle Above</u><u>:</u>
- A = l × b
- A = 50 × 24
- A = 1,200ft
<u>A</u><u>r</u><u>e</u><u>a</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>P</u><u>l</u><u>a</u><u>y</u><u>g</u><u>r</u><u>o</u><u>u</u><u>n</u><u>d</u><u>:</u>
- 1,110ft + 1,200ft
- 1,310 sq ft (A)
Answer:
37
Step-by-step explanation
Do what is in the parenthesis first
(5)+4^2x(2)
Exponents next
4^2=16
5+16x2
Multiplication next
16x2=32
You're left with the equation 5+32=37
Answer:
the correct answer is option D. median is 7 and mean is 5.93