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2 years ago

7

3. A rectangular prism has dimensions of 1 , 2, and in. (a) What is the volume of the prism? Show your work and express your ans

wer as a decimal or mixed number. eazy e

1 answer:

Vedmedyk [2.9K]2 years ago

6 0

Although you only put 2 of the 3 needed dimensions into the question, what you would do is multiply the 3 dimensions together and you would get your answer. To find the volume of a rectangular prism you multiply the width, the height, and the length.

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belka [17]

Answer:

425261625

Step-by-step explanation:

1+2-4252+425251-34%+5%

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2 years ago

What is 2 over 15 + 1 over 3 equal

34kurt

Answer:

Step-by-step explanation:

7/15

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0.46 reapeted 6

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2 years ago

Harriet Cutter’s gross pay for this week is $555. She is single and claims 1 allowances. What amount will be withheld from Harri

Vlada [557]

Answer:

85 dollars will be withheld with a 7.65% income tax because she is only making 1,110 dollars.

Step-by-step explanation:

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2 years ago

A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.

noname [10]

Answer:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

Step-by-step explanation:

Given

$Volume = 128ft^3$

$L = 2W$

$Base\ Cost = \$9/ft^2$

$Sides\ Cost = \$6/ft^2$

Required

The dimension that minimizes the cost

The volume is:

$Volume = LWH$

This gives:

$128 = LWH$

Substitute $L = 2W$

$128 = 2W * WH$

$128 = 2W^2H$

Make H the subject

$H = \frac{128}{2W^2}$

$H = \frac{64}{W^2}$

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

$A = LW + 2(WH + LH)$

The cost is:

$Cost = 9 * LW + 6 * 2(WH + LH)$

$Cost = 9 * LW + 12(WH + LH)$

$Cost = 9 * LW + 12H(W + L)$

Substitute: $H = \frac{64}{W^2}$ and $L = 2W$

$Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)$

$Cost =18W^2 + \frac{768}{W^2}*3W$

$Cost =18W^2 + \frac{2304}{W}$

To minimize the cost, we differentiate

$C' =2*18W + -1 * 2304W^{-2}$

Then set to 0

$2*18W + -1 * 2304W^{-2} =0$

$36W - 2304W^{-2} =0$

Rewrite as:

$36W = 2304W^{-2}$

Divide both sides by W

$36 = 2304W^{-3}$

Rewrite as:

$36 = \frac{2304}{W^3}$

Solve for $W^3$

$W^3 = \frac{2304}{36}$

$W^3 = 64$

Take cube roots

$W = 4$

Recall that:

$L = 2W$

$L = 2 * 4$

$L = 8$

$H = \frac{64}{W^2}$

$H = \frac{64}{4^2}$

$H = \frac{64}{16}$

$H = 4$

Hence, the dimension that minimizes the cost is:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

8 0

2 years ago

I bought a car of 650,000 and<br>sold it for 520,000. Find the<br>lost Percent ?<br>

Tom [10]

Answer:

20% decrease in value.

Step-by-step explanation:

Do 650,000 divided by 100 to find what 1% of the original price is:

650,000 divided by 100 = 6,500

To find what percentage of the original price 520,000 is, we divide it by 1% of the original cost (6,500):

520,000 divided by 6,500 = 80 (percent)

So if 520,000 is 80% of 650,000 the car has decreased in value by 20%.

7 0

2 years ago