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solniwko [45]
3 years ago
13

Solve the problem given below

Mathematics
2 answers:
Marina86 [1]3 years ago
8 0
X=12, the box when assembled is 2 inches tall and 8 inches long
vladimir1956 [14]3 years ago
7 0

<u>Answer</u>

<em>12 in by 12 in</em>

<u>Explanation</u>

The original length = x

This makes the length of the cube made to be = x - (2×2)

                                                                               = (x - 4) in

height of the cube = 2 in

Volume of the cube = (x - 4) × (x - 4) × 2 = 128

                                 = (x² - 8x + 16) × 2 = 128

                                = 2x² - 16x + 32 = 128

                                 = 2x² - 16x + 32- 128=0

                                 = 2x² - 16x - 96 = 0

                                 = x² - 8x - 48 = 0

lets use the factor method to solve the quadrilatic equation above,

x² - 8x - 48 = 0

proctuct = -48

sum = -8

The two factors are; -12 and 8.

(x + 8)(x - 12) = 0

So the value of x are 12 and -8.  Since x is a length, it can not be negative.

∴ x = 12 in.

The original dimensions of the sheet are <em>12 in by 12 in</em>.

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Which choice names a radius of circle F?
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8 0
2 years ago
Need help! Figure shown.
Finger [1]

Answer:C

Step-by-step explanation: In order for it to become the second figure it needs to be enlarged and reflected. It needs to be enlarged first so it will end up placed in the right spot.

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3 years ago
Read 2 more answers
Can someone answer this question please?
Keith_Richards [23]

Part (a)

<h3>Answer:  0.2</h3>

----------------------------------

Work Shown

It costs $15 to rent a bike for 3 hours. We can write the following ratio below

15 dollars : 3 hours

To represent the connection of the two concepts (dollars connecting with hours)

We want the "15 dollars" to turn into "1 dollar". This is because the phrasing "per dollar" really means "per 1 dollar".

Divide both sides of the ratio by 15 to achieve this goal.

15 dollars : 3 hours

15/15 dollars : 3/15 hours

1 dollar : 1/5 hours

1 dollar : 0.2 hours

0.2 hours : 1 dollar

So we get 0.2 hours per dollar.

As a side note, 0.2 hours = 0.2*60 = 12 minutes.

========================================================

Part (b)

<h3>Answer:  3.38</h3>

----------------------------------

Work Shown

27 pages : 8 minutes

27/8 pages : 8/8 minutes

3.375 pages : 1 minute

3.38 pages : 1 minute

I'm dividing both parts of the original ratio by 8 to turn "8 minutes" into "1 minute" (due to the phrasing "per minute"). Don't forget to round to 2 decimal places.

3 0
3 years ago
Answer correctly with good explanation. Please and thank you
Kaylis [27]

Answer:

The cost is $352.80

Step-by-step explanation:

step 1. 14 * 12 = 168 ----> find out the area (base times height)

step 2. 168 * 2.10 = 352.80 -----> multiply the area with the cost of per square foot of the carpet

I hope this helped :))

8 0
1 year ago
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