Answer:
89.4 in²
Step-by-step explanation:
I'm too lazy to explain.
Answer:
207,460
Step-by-step explanation:
brainiest plz
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
Answer:
A' (3/2, -9/4)
B' (-3, 9/4)
C' (3/2, 9/4)
Step-by-step explanation:
1. You have the following coordinates of the vertices of the triangle ABC:
A (-2, 3) B (4, -3) C (-2, -3)
2. The given scale factor is -3/4, therefore, to calculate the coordinates of the triangle A'B'C', you must multiply each coordinate of the triangle ABC by the scale factor.
3. Therefore, you obtain that the the coordinates of the triangle A'B'C' are:
A'=((-2)(-3/4), (3)(-3/4))=(3/2, -9/4)
B'=(4(-3/4), (-3)(-3/4))=(-3, 9/4)
C'=((-2)(-3/4), (-3)(-3/4))=(3/2, 9/4)