Mathematics, 25.03.2020 00:30 jelopez4

Please find the value of x and round to the nearest tenth

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Answer from: mycampbell

x ≈ 2879.4 m

Step-by-step explanation:

The bottom right side angle of the triangle is alternate to the 10° angle

Using the sine ratio in the right triangle

sin10° = $\frac{opposite}{hypotenuse}$ = $\frac{500}{x}$

Multiply both sides by x

x × sin10° = 500 ( divide both sides by sin10° )

x = $\frac{500}{sin10}$ ≈ 2879.4 ( to the nearest tenth )

Answer from: fluffykitty21

x = 2,879.4 m

Step-by-step explanation:

Find the measure of the angle formed by the horizontal line and line x:

What we know:

This angle is an olive green in the image attachedThis angle is an angle of depressionThe angle of elevation measures 10°Angles of depression and elevation are congruent because they are alternate interior angles

Therefore, this angle measures 10 degrees.

Find the value of x:

Now that we have our angle, we can find x. The side opposite the 10 degree angle is 500 m long. The hypotenuse is x. We can use the sine ratio to find x.

Substitute:

sinx = opp/hyp

sin10 = 500/x

Multiply x on both sides:

x(sin10) = (500/x)x

x(sin10) = 500

Divide by sin10 on both sides:

x(sin10) = 500

/sin10 /sin10

x = 2,879.4 m

Find the measure of the angle formed by the side x and the side that measures 500 m:

What we know:

In the image attached, the angle is tealThe angle that complements it measures 10°The measure of both angles = 90°

To find the measure of the angle, subtract.

90 - 10 = 80

The angle is 80°

Find the value of x:

Now that we have our angle, we can find x. The side adjacent to the 80 degree angle is 500 m long. The hypotenuse is x. We can use the cosine ratio to find x.

Substitute:

cosx = adj/hyp

cos80 = 500/x

Multiply x on both sides:

x(cos80) = (500/x)x

x(cos80) = 500

Divide by cos80 on both sides:

x(cos80) = 500

/cos80 /cos80

x = 2,879.4 m

Please find the value of x and round to the nearest tenth

Answer from: Quest

The answer is 16.64 feetyour welcome

Answer from: Quest

Answer:

$4034.40

step-by-step explanation:

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

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