What is the volume of a right circular cylinder with a diameter of 19.6 yd and a height of 23.52 yd? Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
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Answer:
Volume of a right circular cylinder is given by:
.....[1] where
V represents the volume of a cylinder.
r represents the radius of a cylinder.
h represents the height of a cylinder.
As per the given statement:
Diameter(D) = 19.6 yd and height(h) = 23.52 yd.
Diameter = 2r where r is the radius of the cylinder.
Substitute these given values in [1] we have;
cubic yard
Simplify:
V = 7,092.82291 cubic yard.
Therefore, volume of a circular cylinder to the nearest hundredths is, 7092.82 cubic yard.
Answer: 7092.82
Hope this helps :) !
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Circle P has center P (2, 0) and radius 20. Circle Q has center Q (0, 4) and radius 2. (a) Describe the rule for translating center Q onto center P . (b) Determine the scale factor for dilating circle Q so that it has the same radius as circle P. (c) Are circles P and Q similar? Explain your answer.
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Answer:
Vertex form of the function will be f(x) = (x - 1)² + 3.
Step-by-step explanation:
Vertex form of a quadratic function is given by f(x) = a(x - h)² + k
where (h, k) is the vertex of the given parabola.
Now we will convert the function in the vertex form.
f(x) = x² - 2x + 1 + 3
= (x - 1)² + 3
Therefore, the vertex form of the function will be f(x) = (x - 1)² + 3
and the vertex will be (1, 3).
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Answer:
5. The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)
6. The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)
Step-by-step explanation:
If the point (x, y) translated by T → (h, k), then its image is (x + h, y + k)
#5
In ΔXYZ
∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)
∵ T → (-4, -3)
∴ h = -4 and k = -3
→ Use the rule above to find the image of the vertices of the Δ
∵ X' = (1 + -4, -4 + -3)
∴ X' = (-3, -7)
∵ Y' = (-2 + -4, -1 + -3)
∴ Y' = (-6, -4)
∵ Z' = (3 + -4, 1 + -3)
∴ Z' = (-1, -2)
∴ The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)
#6
In ΔXYZ
∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)
∵ T → (5, -3)
∴ h = 5 and k = -3
→ Use the rule above to find the image of the vertices of the Δ
∵ X' = (1 + 5, -4 + -3)
∴ X' = (6, -7)
∵ Y' = (-2 + 5, -1 + -3)
∴ Y' = (3, -4)
∵ Z' = (3 + 5, 1 + -3)
∴ Z' = (8, -2)
∴ The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)
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Answers
1ft³=0.5 tons
Cross multiply
1x=13.5tons
x=13.5tons
So one scoop/load carries 13.5 tons of sand. Lets see how many 120 loads can carry.
13.5tons*120loads=1620 tons of sand
Now lets see how freight cars it would take to hold 1620 tons of sand
1620/40=40.5 freight cars
Since you can't have .5 of a freight car, lets round 40.5 up to 41
Answer=41 freight cars
Answer:
40.5
Step-by-step explanation: