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3 years ago

8

Autumn measures the angle of elevation from the ground to the top of an 18-foottall tree as 27°. To the nearest tenth of a foot,

how far is she from the tree?

1 answer:

cricket20 [7]3 years ago

3 0

Answer:

35.3 ft (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

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‼️Name the vertex and sides of the angle below

mariarad [96]

Vertex= D
Side=E
Side=F

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3 years ago

List of 7 consecutive composite numbers less than 100.

Mumz [18]

Answer:

4

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Type the correct answer for each.

xxTIMURxx [149]

If point $\left(x,\ \frac{\sqrt{7}}{3}\right)$ is on the unit ircle, then:

$x^2+\left( \frac{ \sqrt{7} }{3} \right)^2=1 \\ \\ \Rightarrow x^2+ \frac{7}{9} =1 \\ \\ \Rightarrow x^2=1- \frac{7}{9} = \frac{2}{9} \\ \\ \Rightarrow x= \sqrt{ \frac{2}{9} } = \frac{ \sqrt{2} }{3}$

Since, the point is in the second quadrant, x is negative.

Thus, $(x,\ y)=\left(x,\ \frac{\sqrt{7}}{3}\right)=\left(-\frac{ \sqrt{2} }{3},\ \frac{\sqrt{7}}{3}\right)$

Part A:

$3 \sqrt{7} =6\left( \frac{ \sqrt{7} }{2} \right) \\ \\ =6\left( \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \right) \\ \\ =6\left( \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } \right)=-6\left( \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } \right) \\ \\ =-6\left( \frac{y}{x} \right)=-6\tan\theta$

Therefore, $-6\tan\theta=3\sqrt{7}$ .

Part B:

$- \frac{ \sqrt{7} }{2} =- \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \\ \\ =- \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } = \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } = \frac{y}{x} \\ \\ =\tan\theta$

Therefore, $\tan\theta=- \frac{ \sqrt{7} }{2}$

8 0

3 years ago

Find the surface area of this cube 7m 7m 7m. Be sure to include the correct unit in your answer.

7nadin3 [17]

Answer:

294 $m^2$

Step-by-step explanation:

The area of one face of the cube would be 7 x 7 = 49 $m^2$

Since there are 6 faces on a cube, the total surface area would therefore be 49 x 6 = $294m^2$

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2 years ago

Tom earns $12 a week mowing lawns. He spends

Gnoma [55]

Answer:

6 dollars on lunch because 36 divided by 6 is 6 lol and you should multiply 1/3 to 2/6 to have an even number so it would be 12 on music and 6 on lunch so 18 total spent and 18 saved

18 total saved

Step-by-step explanation:

8 0

3 years ago

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