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Ilya [14]
3 years ago
12

2(2x + 4) + 2(x - 7) = 78. Determine the side lengths of this rectangle. ​

Mathematics
1 answer:
sp2606 [1]3 years ago
5 0

2(2x + 4) + 2(x - 7) = 78

4x + 8 + 2x - 14 = 78

(4x + 2x) + (8 - 14) = 78

6x - 6 = 78

6x = 78 + 6

6x = 84

x =  \frac{84}{6}

x = 14

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Solve for xx. Round to the nearest tenth of a degree, if necessary.
Tanya [424]

Answer:

56.6 °

Step-by-step explanation:

For a RIGHT triangle    cos (x ) = adjacent leg / hypotenuse

                                      cos (x) = 4.4 / 8

                                            arc  cos (4.4/8) = 56.63 °  = ~ 56.6°

8 0
2 years ago
A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoe
vaieri [72.5K]

To answer the question, let B call the amount of meat and P the number of potatoes.

The recipe says that for every pound of meat we need 3 potatoes.

Then that relationship is written as follows:

1B = 3P

\frac{1}{3}=\frac{P}{B}

If we increase the amounts of the recipe by 100%, it will multiply by 2 the amount of meat and also that of potatoes. Therefore we need 2 pounds of meat and 6 potatoes.

Then the relationship is:

2B = 6P

\frac{2}{6}=\frac{P}{B}

But \frac{2}{6}=\frac{1}{3}

Therefore, the proportion that represents the situation remains the same 1B = 3P

This occurs because the increase in the amount of potatoes and beef was in the same proportion.

6 0
4 years ago
I need help solving this proportion!! <br><br> 3/x-1 = 2/x+4
Gelneren [198K]
1. Move 2/x to the left side of proportion by changing sign before it:
3/x - 1 - 2/x = 4

2. Move 1 to the right side of proportion and change it's sign as well:
3/x - 2/x = 4 + 1

3. Sum numerators in the left side of proportion since they have common denominator (x) abd also sum the numbers in the right side too:
(3-2)/x = 5

4. Calculate numerator in the left side of proportion:
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5. Move 1 to the right side of proportion by dividing that side by it:
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3 0
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Inessa [10]
38.08 m is the answer
5 0
3 years ago
Pls help need it ASAP<br> :)
Elenna [48]

Answer:

x = 4

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Step-by-step explanation:

x + y = 17

y = 2x + 5

substitute for y:

x + (2x + 5) = 17

reduce:

3x + 5 = 17

subtract 5 from each side:

3x = 12

divide both sides by 3:

x = 4

y = 2(4) + 5

y = 13

6 0
3 years ago
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