Answer:
Step-by-step explanation:
Given:
bottom of the plank or ground is 9 feet from the wall
length of the plant is 41 ft
height of the wall is unknown.
Let us use the Pythagorean theorem.
a² + b² = c²
a² + (9ft)² = (41ft)²
a² + 81 ft² = 1,681 ft²
a² = 1,681 ft² - 81 ft²
a² = 1,600 ft²
√a² = √1,600 ft²
a = 40 ft
The height of the wall is 40 ft.
Answer:
m∠N = 32°
NQ = 106°
When finding inscribed angles like ∠N with the intercepted arc, the equation is ∠N=1/2MP. (Inscribed angles are always half the degree of the arc length.) Plug in the corresponding value to get ∠N=1/2(64) to get 32°. When finding the angle of the intercepted arc with inscribed angles like NQ, the equation is NQ=2(∠P). Plug in the corresponding value to get 2(53) to get 106°.
Answer:
Step-by-step explanation:
a. 100005
1 x 1000000 + 0 x 100,000 + 0 x 10000 + 0 x 1000 + 0 x 100 + 0 x 10 + 5 x1
1 x 10^6 + 0 x 10^5 + 0 x 10^4 + 0 x 10^3 + 0 x 10^2 + 0 x 10^1 + 5 x 1
= 100,000 + 0 + 0 +0 +0 + 5
b. 84016
8 x 10000 + 4 x 1000 + 0 x 100 + 1 x 10 + 6 x 1
80000 + 4000 + 0 + 10 + 6
c. 9078
9 x 1000 + 0 x 100 + 7 x 10 + 8 x 1
9000 + 0 +7 + 8
d. 113
1 x 100 + 1 x 10 + 3 x 1
100 + 10 + 3
e. 75
7 x 10 + 5 x 1
70 + 5
