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allochka39001 [22]
3 years ago
5

The track at your school is 3/4 mile long if you run around the track seven times how far have you ran

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0
5.25 miles

3/4 x 7 = 21/4
21 / 4 = 5.25 miles
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Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

cos(Y)=\frac{ZY}{XY} ---> adjacent side divided by the hypotenuse

substitute the values

cos(30\°)=\frac{ZY}{4}

Remember that

cos(30\°)=\frac{\sqrt{3}}{2}

so

substitute

\frac{\sqrt{3}}{2}=\frac{ZY}{4}

ZY=(4)\frac{\sqrt{3}}{2}

ZY=2\sqrt{3}\ units

step 2

sin(Y)=\frac{XZ}{XY} --> opposite side divided by the hypotenuse

substitute the values

sin(30\°)=\frac{XZ}{4}

Remember that

sin(30\°)=\frac{1}{2}

so

\frac{1}{2}=\frac{XZ}{4}

XZ=2\ units

step 3

tan(Y)=\frac{XZ}{ZY} --> opposite side divided by adjacent side

substitute the values

tan(Y)=\frac{2}{2\sqrt{3}}

tan(Y)=\frac{1}{\sqrt{3}}

Simplify

tan(Y)=\frac{\sqrt{3}}{3}

so

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0
3 years ago
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A square lawn has area 98 ft². A sprinkler placed at the center of the lawn sprays water in a circular pattern as
torisob [31]

The radius of the circle exists approximately 4.95 feet.

<h3>How to estimate the radius of the circle?</h3>

Given the area of the square as A = 98 ft²

The side length of the square choice is equivalent to the diameter of the circle.

First, we must obtain the length of the square.

Area of a square = L^2

98 = L²

L = √98

L = 9.89 ft

Thus the diameter of the circle exists at 9.89 ft

radius = diameter/2

radius = 9.89/2

radius ≈ 4.95 feet

Therefore the radius of the circle exists approximately 4.95 feet.

To learn more about the radius of circle refer to:

brainly.com/question/19568457

#SPJ9

3 0
2 years ago
The wavelength of green lights is about 0.00000051 meter. What is the estimated wavelength as a single digit times a power of 10
kari74 [83]

<em><u>Answer:</u></em>

<h2>5.1 X 10^-7</h2>

<u><em>Reason:</em></u>

It is to the -7 because you would have to move the decimal left (-) 7 times to get the original 0.00000051.

Hope this helps! ;)

6 0
3 years ago
The chart shows the elevation of several cities. City Elevation (m) Amsterdam 2 Rotterdam –4 Utrecht 1 Zuidplaspolder –7 Which c
torisob [31]

Answer:

the answer is d hope this helps ❤️✨

Step-by-step explanation:

8 0
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Find the value of x.
bonufazy [111]

Answer:

61

Step-by-step explanation:

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