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Evgen [1.6K]
2 years ago
13

The floor of a storage unit is 8 meters long and 15 meters wide. What is the distance between two opposite corners of the floor?

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
6 0

Answer:

17m

Step-by-step explanation:

Draw a picture for the situation:

  __________<u>15m</u>___________

  |                                                     |

b |                                                     |  8m

  |________________________|

                             a

We can assume the floor is a rectangle. Cut the triangle diagonally in half.

The rectangles has all right angles and is composed of two right triangles.

Use the Pythagorean formula and solve for the length of the hypotenuse to find the distance between two the opposite corners. I labelled two of the sides a and b.

The formula is: a² + b² = c² , where c is the distance. Substitute the side lengths a and b and solve for c.

a² + b² = c²

15² + 8² = c²

Simplify:

225 + 64 = c²

c² = 289

c = √289

c = 17

The distance between two opposite corners on the floor is 17 metres.

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Katelyn earned $205 from a holiday job to buy winter clothes. She found several items she would like to buy, but is trying to de
Lina20 [59]

Katelyn does not have enough money to buy items she likes.

Step-by-step explanation:

Amount Katelyn had = $205

Price of one sweater = $48

Price of 2 sweaters = 2*48 = $96

Price of one pair of pants = $34

Price of four pairs of pants = 34*4 = $136

Total price = Price of sweaters + price of pairs of pants

Total price = 96+136

Total\ price= \$232

Sales tax = 6.5%

Sales tax = \frac{6.5}{100}*232

Sales\ tax=\frac{1508}{100}\\Sales\ tax=15.08\ Dollars

Total amount = Total amount of items + sales tax

Total amount = 232 + 15.08

Total amount = 247.08 Dollars

Therefore,

Katelyn does not have enough money to buy items she likes.

Keywords: Percentage, Sales tax

Learn more about sales tax at:

  • brainly.com/question/4980053
  • brainly.com/question/5002251

#LearnwithBrainly

5 0
3 years ago
A top speed a coyote can run at a speed of 44 miles per mile if a coyote could maintain its topp speed how far could it run in 1
Katyanochek1 [597]
The answer is 660 miles in 15 minutes

you would have to multiply 44 by 15

44 x 15
=660
5 0
3 years ago
Armando got a job selling bags of peanuts at the local art festival. He is paid a fixed amount of $320 per
skelet666 [1.2K]

0.67n + 320

=(0.67 * 430) + 320

= 288.1 + 320

= $608.1

0.67n + 320 = 728.70

0.67n = 728.70 - 320

0.67n = 408.7

n = 408.7 / 0.67

n = 610 Bags of peanuts

6 0
2 years ago
Sean Matthews is a waiter at the Duluxe Lounge. In his first weekly pay in March, he earned $300.00 for the 40 hours he worked.
Gnoma [55]
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Social Security at 4.2%                                          $21
State income tax at 2%                                          $10
Total taxes:                                                             $52

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4 0
2 years ago
Help me answer this please:)
Dmitrij [34]

Answer:

A and B

Step-by-step explanation:

\frac{7x+6}{2}\leq 3x+2 < ==multiply\ both\ sides\ by\ 2\\2(\frac{7x+6}{2}\leq 3x+2)\\\\7x+6\leq6x+4 < ==subtract\ -6x\ from\ both\ sides\ \\-6x \ \ -6x\\\\x+6\leq4 < ==subtract\ 6\ from\ both\ sides\\-6 \ \ \ -6\\\\x\leq-2 < ==answer\ should\ be\ anything\ less\ than\ or\ equal\ to\ -2

Now, look at your answer choices, which options are less than or equal to -2?

x ≤ -2, Check your answers:

A. -3 ≤ -2?

This statement is correct (-3 is < -2)

B. -2 ≤ -2 <== our original answer

This statement is correct (-2 is = to -2)

C. -1 ≤ -2

This statement is incorrect (-1 is > -2, not ≤ -2)

D. 0 ≤ -2

This statement is incorrect (0 is > -2, not ≤ -2)

E. 1 < -2

This statement is incorrect (1 is > -2, not ≤ -2)

Therefore, the correct options are A and B

Hope this helps!

6 0
2 years ago
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