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vaieri [72.5K]
2 years ago
12

Two adjacent rooms are rectangles, both of length 13 feet by 10 feet. Jerry wants to change the carpets in both rooms. How many

square feet should he order?
Mathematics
1 answer:
Ugo [173]2 years ago
6 0

Answer:

  260 square feet

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

The area of two same-size rectangular rooms will be double the area of one of them.

__

<h3>room area</h3>

Each room has an area of ...

  A = LW = (13 ft)(10 ft) = 130 ft²

<h3>carpet order</h3>

The order for carpet must be for 2 times the area of one room:

  carpet order = 2 × 130 ft² = 260 ft²

Jerry should order 260 square feet of carpet.

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!50 point question! Find x and explain how you found it!
STatiana [176]

<u>Answer:</u>

\sf x = 60^{\circ \:}

<u>given:</u>

  • adjacent side:  10
  • hypotenuse side: 20

<u>using cosine rule:</u>

\hookrightarrow \sf cos(x) = \dfrac{adjacent}{hypotense}

\hookrightarrow \sf \sf cos(x) = \dfrac{10}{20}

\hookrightarrow \sf \sf x = cos^{-1}(\dfrac{10}{20} )

\hookrightarrow \sf \sf x = 60^{\circ \:}

4 0
3 years ago
Which table contains ordered pairs that lie on the graph of the equation -2x + 4y = 16?
tia_tia [17]

Answer:

C

Step-by-step explanation:

To figure out which pairs lie on -2x+4y = 16, we can plug the x and y values into the equation to see if they work. We need all pairs of x and y values in a table to work for the answer to be correct

A)

x=-4, y=2

-2x+4y = -2 * (-4) + 4 * (2) = 8 + 8 = 16. This works. Note that two negatives multiplied together make a positive, and 4*2 = 8

x=0, y=8

-2x + 4y = -2 * (0) + 4 * (8) = 0 + 32 = 32. This does not work, as 32 is not 16. Note that anything multiplied by 0 is 0

B)

x=8, y=0

-2x+4y = -2 * (8) + 4 * (0) = -16. This is not equal to 16. Note that a negative multiplied by a positive is still a negative

x=2, y=3

-2x + 4y = -2 * (2) + 4 * (3) = -4 + 12 = 8. This is not equal to 16.

C)

x=0, y=4

-2x + 4y = -2 * (0) + 4 * (4) = 0 + 16 = 16. This works

x=4, y=6

-2x + 4y = (-2)* (4) + 4 * (6) = -8 + 24 = 16. This works. As both pairs of values in the table works, this is the correct answer. Nevertheless, we can check D to make sure.

D)

x=-2, y=5

-2x+4y = -2 * (-2) + 4 * (5) = 4 + 20 = 24. This is not 16

x=-8, y=0

-2x+4y = -2 * (-8) + 4 *  (0) = 16. This works, but the other pair does not work, so D is incorrect

3 0
3 years ago
How long does it take to travel 300 mi at a constant speed of 15 mi/h? Enter your answer in the box.
WITCHER [35]
300/15=20 hours

Hope this helps! :)
3 0
3 years ago
A term may be written in index form to?
Alecsey [184]

Answer:

A.make calculation easier

8 0
3 years ago
How to work 48÷(4+2×10)-1​
Mashutka [201]

Answer:

The answer is 1

Step-by-step explanation:

In order to do this equation you use PEMDAS Parentheses, Exponents, Multiplication , Division, Addition and Subtraction

So,

48 / (4+2X10)-1\\  48 /(4+20)-1\\ 48/(24)-1\\48/24-1\\2-1\\1

Hoped this helped :D

5 0
3 years ago
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