a prism and a pyramid are side by side. they have the same height and same base are. the volume of the prism would be ? times the volume of the pyramid?
Answers
Answer:
The volume of the prism is 3 times the volume of the cone
Step-by-step explanation:
step 1
we know that
The area of the prism is given by the formula
----> equation A
where
B is the area of the circular base
h is the height of the prism
step 2
The area of the cone is given by the formula
----> equation B
where
B is the area of the circular base
h is the height of the cone
In this problem we have that they have the same height and same base area
so
substitute equation A in equation B
solve for V_p
therefore
The volume of the prism is 3 times the volume of the cone
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let the numbers be the nth and (n+1)th term
nth term = 5n+10
(n+1)th term = 5(n+1)+10 = 5n+5+10 = 5n+15
5n+10 + 5n+15 = 145
⇒ 10n + 25 = 145
⇒ 10n = 145-25 = 120
⇒ n = 120/10 = 12
terms are:
5n+10 = 5 x 12 + 10 = 70
5n + 15 = 5 x 12 + 15 = 75
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m =
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Answer:
A=40, B=60, C=80
Step-by-step explanation:
180/7 to find what "1" would be in the ratio then multiply 20*2, 20*3, 20*4.
Final answer:
The measures of the angles in a triangle with the ratio 2:3:4, namely ∆ABC, are 40°, 60°, and 80° respectively.
Explanation:
To determine the measures of the angles in ∆ABC given that m∠A: m∠B: m∠C = 2:3:4, you first need to understand that the sum of the interior angles in a triangle equals 180°.
We will begin by assigning values to the angles as per the given ratios.
Therefore, we'll say m∠A = 2x, m∠B = 3x, and m∠C = 4x.
Based on the rule that the angles of a triangle add up to 180°, we get the equation 2x + 3x + 4x = 180.
Simplifying that, we get 9x = 180.
To find the value for 'x', divide both sides of the equation by 9. This results to x = 20.
To get the measures of the angles, you then multiply the values of 'x' with the ratios.
Hence, m∠A = 2 * 20 = 40°, m∠B = 3 * 20 = 60°, and m∠C = 4 * 20 = 80°.
Learn more about Triangle Angle Measures here:
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Answer:
The distance between home and river is 2 miles. In still water a boat can cover 18 miles in 3 hours.
Unit rate of the boat is calculated as
Unit rate of the boat is 6 miles per hour.
In the morning, a fisher man walks towards river and sits on the boat and moves in still water, then total distance covered by the fisher man is defined by the equation