Answer:
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Answer:
m<D = 14
Step-by-step explanation:
Exterior angles thm:
83 + 6x - 4 = 21x + 4
6x + 79 = 21x + 4
6x - 21x = 4 - 79
-15x = -75
x = 5
m<D:
6x - 4
6(3) - 4
18 - 4
14
D. 226.08cm^2
Since we are finding the combined area of the two bases of the cylinder, we are adding the area of the first base with the second base. The formula for the base of a cylinder is pi x r^2, since it is a circle. Since the bases are the same, we can rewrite this as 2pi x r^2.
Since the diameter is 12cm and r = 1/2 diameter, r = 6cm.
Thus, A = 2(3.1415)(6)^2 = 226.08cm^2
<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>
Answer:
A
Step-by-step explanation:
