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tamaranim1 [39]

3 years ago

13

OK before from the playing golf. The total cost of the round of golf is $108. Each person in the group has the same coupon. The

total cost of the round $76. How much is a coupon worth

1 answer:

Fantom [35]3 years ago

8 0

108 - 76 = 32

so your answer is, it's worth $32

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klasskru [66]

Answer:

16 times

Step-by-step explanation:

$\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

If only the radius is changed, the change in volume will be proportionate to the multiplicative factor squared.

$\sf \implies Volume =\dfrac{1}{3} \pi (ar)^2h=\dfrac{1}{3} \pi (a^2)r^2h$

Therefore, if the cone is quadrupled (multiplied by 4), the volume of the larger cone will be 4² times greater than the volume of the smaller cone, so <u>16 times greater </u>than the smaller cone.

<h3><u>Proof</u></h3>

Given:

radius = 6
height = 9

Substituting the given values into the formula:

$\sf \implies Volume =\dfrac{1}{3} \pi (6)^2(9)=108 \pi \: \:cubic\:units$

If the radius is quadrupled:

radius = 6 × 4 = 24
height = 9

Substituting the new given values into the formula:

$\sf \implies Volume =\dfrac{1}{3} \pi (24)^2(9)=1728 \pi \: \:cubic\:units$

To find the number of times greater the volume of the large cone is than the volume of the smaller cone, divide their volumes:

$\sf \implies \dfrac{V_{large}}{V_{small}}=\dfrac{1728\pi}{108\pi}=16$

So the volume of the larger cone is <u>16 times greater</u> than the volume of the smaller cone.

4 0

2 years ago

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Find the dimensions of a rectangle (in m) with perimeter 76 m whose area is as large as possible. (Enter the dimensions as a com

Anika [276]

Answer:

19,19

Step-by-step explanation:

It will be a square

76 / 4 = 19 m sides

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uysha [10]

Answer:

$42 is the sale price.

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Answer:

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Step-by-step explanation:

If Justin earns 5% commission on his real estates sales, and his total commission one year was $35,750 then:

5/100 * X = $35,750

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X = ($35,750 * 100)/5

X = $715,000

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