8x-12=5x+15
add 12 to both sides
8x=5x+27
subtract 5x from both sides
3x=27
divide by 3
x=9
The area of a regular octagon is:
A = a * P / 2, where a is an apothem and P is a perimeter.
P = 8 * 8 m = 64 m
A = 9.7 m * 64 m / 2
A = 620.8 / 2 m²
A = 310.4 m²
Answer:
The area of a regular octagon is 310.4 m².
Hope this helps!
Answer:
the height is 54.99 ft or 659.84 in
Step-by-step explanation:
We know that the sides of similar triangles are proportional, so we can write:
2 ft / 6 ft 3 in = x / 171 ft 10 in
Now what we must do first and pass everything to the same unit of measurement:
Knowing that 1 foot equals 12 inches:
6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in
171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in
2 ft = 2 ft * 12 in / ft = 24 in
replacing:
24 in / 75 in = x / 2062 in
x = 24 * 2062/75
x = 659.84 in
Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft
That is, the height is 54.99 ft or 659.84 in
Answer:
domain: -4 ≤ x ≤ 2
range: 2 ≤ y ≤ 6
Step-by-step explanation:
<span>The parent function here is √x. It has domain and range [0, ∞). Translating its "vertex" from (0, 0) to (a, b) will give it the desired domain and range. The translated function with the desired domain and range is ...
B) f(x)= √(x-a) +b </span>