Answer:
The area of the prism’s base is 45 square inches
Step-by-step explanation:
Mathematically, to calculate the volume or the amount of space in the triangular prism, we have to multiply the area of the base by the height of the prism.
Volume of prism = height of prism * base area of prism
From the question, we identify the height as 10 inches with the volume being 450 inches^3
Plugging these values we have;
Area of prism base = volume of prism/ height of prism = 450/10 = 45 inches^2
Yes, 12 can be a part of more than one fact family because the fact family 3*4 or 6*2 or 9+3.
A4
Step-by-step explanation:
1/2
1/3
1/5
1/4
We are given with the following value:
AB = BC =90 cm
∠B =25°
∠D=90°
Solving the ∠C:
180 ° = (∠B/2) + ∠D +∠C
180° = (25°/2) + 90° + ∠C
180° - 12.5° -90° = ∠C
∠C = 77.5°
Solving for length in mD:
sin 77.5° = mD/90
mD = 90 sin77.5°
mD = 87.87
Solving for mDC:
cos 77.5 = mDC/90
mDC = 90 cos 77.5°
mDC = 19.48
Area = 1/2 * Base * Height
Area = 1/2 * 19.48*87.87
Area = 855.834
The total area of triangular pennant = 2 x 855.834 = 1,711.67 cm².
The area is 1,711.67 cm².
10v + 6 = -54
Subtract 6 to both sides
So 10v + 6 = -54
10v - 6 = -6
10v = -60
Divide both sides by 10
ANSWER: -6