Answer:
Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.
Step-by-step explanation:
hopefully this helps :)
Answer:
V = StartFraction 7 times 6 over 2 EndFraction times 8
Step-by-step explanation:
Volume of a triangular prism is expressed as V = Base area × Height
Base area = area of the triangle = 1/2 × base × height
If the triangular base has a base of 7 inches and height of 6 inches.
The height of the prism is 8 inches.
Base area = 1/2 × 7 × 6
Base area = (7×6)/2
Height = 8
V = (7×6)/2 × 8
The right option is V = StartFraction 7 times 6 over 2 EndFraction times 8
Answer: (f·g)(x) = -5x³ - 31x² + 62x + 18
(f·g)(-1) = -70
(fog)(x) = 25x² - 130x + 155
(fog)(-1) = 310
<u>Step-by-step explanation:</u>
f(x) = x² + 8x + 2 g(x) = -5x + 9
(f·g)(x) = (x² + 8x + 2)(-5x + 9)
= -5x³ + 9x²
- 40x² + 72x
<u> - 10x + 18</u>
= -5x³ - 31x² + 62x + 18
(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18
= -5(-1) - 31(1) - 62 + 18
= 5 - 31 - 62 + 18
= -70
****************************************************************************************
(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2
= 25x² - 90x + 81
- 40x + 72
<u> + 2</u>
= 25x² - 130x + 155
(fog)(-1) = 25(-1)² - 130(-1) + 155
= 25 + 130 + 155
= 310
<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>
Answer:
Step-by-step explanation:
Hope this helps!
