Answer:
i) p = 4
ii) p = 8
iii) p = 12
Step-by-step explanation:
Here, we need to understand the initial relation
Mathematically, we have this as;
2.79 * p = c
So let us calculate the value of p for each value of c
i) 2.79p = 11.16
p = 11.16/2.79
p = 4
ii) 2.79p = 22.32
p = 22.32/2.79
p = 8
iii) 2.79p = 33.48
p = 33.48/2.79 = 12
<h3>
Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
===========================================================
Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
Answer:
990, C
Step-by-step explanation:
The formula for the surface area of the bottom cushion is
A = 2wl + 2lh + 2hw (w is width, l is length, h is height)
w = 18, l = 21, h = 3
A = 2(18)(21) + 2(21)(3) + 2(3)(18)
A = 2(378) + 2(63) + 2(54)
A = 756 + 126 + 108
A = 990 (C)
