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2 years ago

Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics

1 answer:

natta225 [31]2 years ago

5 0

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.

The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.

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1 year ago

The new post office has an area that is 6.5 times the area of the old post office. Let p represent the area of the old post offi

IrinaK [193]

Answer:

$Area = 6.5p$

Step-by-step explanation:

Given

$Area\ of\ Old = p$

$Area\ of\ New = 6.5 * Area\ of\ Old$

Required

Write an expression for the area of new post office

From the question, we have the following:

$Area\ of\ Old = p$

and

$Area\ of\ New = 6.5 * Area\ of\ Old$

Substitute p for Area of Old in the second equation

$Area\ of\ New = 6.5 * p$

$Area\ of\ New = 6.5 p$

Hence, the expression is:

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2 years ago

For the inequality, decide whether the solution is represented by x <2.5 OR x >2.5. -25 > -5(x+2.5)

omeli [17]

To solve the inequality -25 > -5(x + 2.5), first multiply -5 by the number and variable in the parentheses.

-25 > -5x - 12.5

Now add 12.5 to both sides of the equation.

-25 + 12.5 > -5x - 12.5 + 12.5

-12.5 > -5x

Now divide -12.5 by -5 to get the answer.

-12.5 ÷ -5 is 2.5

You would think the final answer is 2.5 > x, but that is not true because -5 is negative and when a negative number is divided to both sides of an inequality, the sign gets flipped.

So, the real answer is 2.5 < x, or x > 2.5.

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