The correct factorization is
2(x-2)²
Answer:
400 units³
Step-by-step explanation:
The volume (V) of the square pyramid is
V =
area of base × height (h)
where h is the perpendicular height.
Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )
Using Pythagoras' identity on the right triangle
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h =
= 12
Area of square base = 10² = 100, hence
V =
× 100 × 12 = 4 × 100 = 400
Hello!
You first have to find the total amount of apartments
35 + 55 = 90
There are 90 apartments
Then you find the percentage of them have a balcony
You do this by taking the amount of apartments that have a balcony over the total amount of apartments
35/90 = 0.39
0.39 as a percent is 39%
The answer is 39/100 or 39%
Hope this helps!
Answer:
Then the answer is option a
a. 0<x
10
Step-by-step explanation:
perimeter + height is less than 130 inches.
If height is 60 inches.then perimeter left is 70 inches.
If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.
perimeter of rectangle is
It has two widths and two lengths because that's what rectangles do.
width of base "x"
Then the length is 2.5x
perimeter = 2 width + 2 length
= 
= 2x + 5x
= 7x
but perimeter can't be more than 70 inches.
So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

7x + 60 ≤ 130
7x ≤ 70
x ≤ 10
Then the answer is option a
a. 0<x≤10