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viva [34]
3 years ago
7

If y varies directly as the square root of x and y = 8 when x = 36, find the value of y when x = 144. y =

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Answer:

y=32

Step-by-step explanation:

cross multiply

36/4 *144/y

144*8/36

=1152/36

y=32

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A flagpole has a height of 16 yards. It will be supported by three cables, each of which is attached to the flagpole at a point
Marta_Voda [28]
Cables are forming 3 right angled triangles the pole being the shared height of them;

(height) b= 12yd
(base) a= 9yd
(hypotenuse) c= ?
Need to find the long side (hypotenuse);

a^2 + b^2 = c^2

12^2 + 9^2 = 225
Take square root of 225 = 15
Then you have;

1x 12yd = 12
3x 9 yd = 27
3x 15yd = 45

Add them up = 84yd of cable needed
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3 years ago
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Which of the following is equivalent to the expression below? 7-20 O A. -5lſ O B. 2125 O c. 5iſ OD. -215​
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Answer:

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Step-by-step explanation:

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5 0
2 years ago
Find y.<br> Round to the nearest tenth:<br> 290<br> 500 ft<br> y<br> X<br> y = [ ? ]ft
hjlf

Answer:

  • y = 242.4
  • x = 437.3

First find the inner angle:

  • 90° - 29°
  • 61°

[ given hypotenuse = 500 ft ]

using sine rule:

\sf sin(x)= \dfrac{opposite}{hypotensue}

\hookrightarrow \sf sin(61)= \dfrac{x}{500}

\hookrightarrow \sf x=sin(61)*500

\hookrightarrow \sf x=437.3

using pythagoras theorem:

  • a² + b² = c²
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8 0
2 years ago
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Find the value of x. Round your answer to the nearest tenth.
Fantom [35]
Hello again! So we will be using the pythagorean theorem (leg^2+leg^2=hypotenuse^2) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.


Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

17^2+z^2=19^2

Solve the exponents to get 289+z^2=361

Subtract 289 on each side to get z^2=72

Lastly, square root each side of the equation and your answer should be z= \sqrt{72} (To get more accurate answers, you shouldn't round until the end of the problem)


Nextly, we will need to subtract \sqrt{72} from 31. And since there are 2 triangles, you'll need to multiply \sqrt{72} by 2.

x=31- \sqrt{72} *2 \\ x=14.0

In short, x = 14.0
5 0
3 years ago
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