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Mila [183]
2 years ago
12

Jude says that the volume of a square pyramid with base edges of 12 in and a height of 10 in is equal to the volume of a cylinde

r with a radius of 6.77 in and a height of 10 in. Jude rounded his answers to the nearest whole numbers. Examine Jude's calculations. Is he correct?
Volume of Square Pyramid Volume of Cylinder
V = one third B(h) V = one thirdπr2h
V = one third(144)(10) V = one thirdπ(6.772)(10)
V = one third(1440) one thirdπ(45.8329)(10)
V = 480 in3 V = one thirdπ(458.329)
V ≈ 480 in3

Yes, his calculations are correct and the volumes for figures are equal.
No, he made a mistake in solving for the volume of the cylinder.
Yes, but he made a mistake in solving for the volume of the square pyramid.
No, he made a mistake in solving for the volume of both figures.

Mathematics
2 answers:
Lapatulllka [165]2 years ago
7 0

Answer:

No, not correct

Step-by-step explanation:

Square pyramid volume:  (1/3) (base area)(height).  In this case,

V = (1/3)*(12 in)^2*(10 in) = 480 in^3 = 480 in^3

Cylinder volume:  (base area)*(height).  In this case,

V = (3.14)*(6.77 in)^2*(10 in) = 452.12 in^3.

No, Jude is not correct; the 480 in^3 volume of the square pyramid is not the same as the 452.12 in^3 volume of the cylinder.

yuradex [85]2 years ago
6 0

Answer:

Choice #2 (B) - No, he made a mistake in solving for the volume of the cylinder.

Step-by-step explanation:

If your on Question 10 of 06.01 MC, that should be your answer.

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Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let
MrMuchimi

Answer: \left \{ {{2x+3y=7.20} \atop {4x+2y=8.80}} \right.

Step-by-step explanation:

Let be "x"  the price per pound for grapefruit, "y" the price per pound for oranges.

We know that Steve buys 2 pounds of grapefruit and 3  of oranges for $7.20.

This means that the sum of the products of 2x and 3y is $7.20. Then, we can write this equation to represent it:

2x+3y=7.20

Kennedy buys 4 pounds of grapefruit and 2 pounds of oranges for $8.80.

This means that the sum of the products of 4x and 2y is $8.80. Then, we can write this equation to represent this:

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Therefore, we get that the system of equations that models the situation is:

\left \{ {{2x+3y=7.20} \atop {4x+2y=8.80}} \right.

8 0
2 years ago
This table represents a quadratic function. x y 0 -3 1 -3.75 2 -4 3 -3.75 4 -3 5 -1.75 What is the value of a in the function’s
serg [7]

Answer:

a = 0.25

Step-by-step explanation:

Our strategy to solve this problem will be to use the information given in the table to obtain  first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations  and solve for the coefficients a and b as follow:

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from x=1 and  y= -3.75

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4a + 2b = -1

2a = 0.50 and substituting into any of the equations get b =  -1

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we can even  plug the any of the other values for  x given in the table and check the answer.

8 0
2 years ago
Read 2 more answers
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Reptile [31]
<u><em>Answer:</em></u>
b.Each electrician charges a different base fee:

<u><em>Explanation:</em></u>
<u>Each of the equations has two parts:</u>
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<u>For the first electrician:</u>
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y = 25x + 20
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<u>Now, let's check the choices:</u>
<span><u>a.Each electrician charges a different hourly rate:</u>
</span>This is incorrect as electricians 1 and 3 charge the same hourly rate ($25)

<span><u>b.Each electrician charges a different base fee:</u>
This is correct as all three base fees are different ($30, $20 and $25)

</span><span><u>c.All three electricians charge the same hourly rate:</u>
This is incorrect as electrician 2 has a different hourly rate

</span><span><u>d. All three electricians charge the same base fee:</u>
This is incorrect as the base fees for the three electricians are different ($30, $25 and $20)

Hope this helps :)</span>
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2 years ago
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Darina [25.2K]
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4 0
1 year ago
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Answer:

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Step-by-step explanation:

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= 7/11.

5 0
2 years ago
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