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Romashka-Z-Leto [24]
3 years ago
6

The area of the rectangle is 54 units squared. Write and solve an equation to find x.

Mathematics
1 answer:
lord [1]3 years ago
6 0

Answer: x=5

Step-by-step explanation:

The area of a rectangle can be found with the following formula:

A=lw

Where "l" is the length and "w" is the width.

In this case you can identify in the figure given in the exercise that:

l=4x-2\\\\w=3

You know that the area of that rectangle is the following:

A=54

Therefore, knowing those values, you can substitute them into the formula and then you must solve for "x" in order to find its value. You get that this is:

54=(4x-2)(3)\\\\54=12x-6\\\\54+6=12x\\\\\frac{60}{12}=x\\\\x=5

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Answer:

Option B (35°).

Step-by-step explanation:

To solve this question, the trigonometric identity sin x = cos (90-x) is required. It can also be written as cos x = sin (90-x). It can be seen that this identity holds when the two angles are complementary i.e. they sum up to 90 degrees. Therefore, the answer can be determined by substituting all the options one by one in the identity cos x = sin (20+x). If x=30 degrees, then x+20=50 degrees. 30 and 50 are not complementary. If x=35 degrees, then x+20=55 degrees. 35 and 55 are complementary since their sum is 90 degrees. Therefore, B is the correct choice!!!

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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