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iren [92.7K]
2 years ago
14

Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top o

f a pole and two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round you answer to the nearest tenth.

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
8 0

Answer:

7.1

Step-by-step explanation:

write pythagorean theorem x^{2} + x^{2} = 10^2

2x^2 = 100

divide 2 both side:

x^{2} = 50

\sqrt{x^2} = \sqrt{50}

x = \sqrt{50}

x = 7.07106781

round to nearest tenth:

x = 7.1

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zysi [14]
The answer is a because you divide 135÷9=15 and 102÷6=17 . 17-15=2
6 0
3 years ago
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densk [106]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y-axis

a point (x, y ) → (- x, y )

Hence

A'(-5, - 3 ) → A''(5, - 3 )

B'(4, 4 ) → B''(- 4, 4 )

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D'(- 2, - 1 ) → D''(2, - 1 )


8 0
3 years ago
Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, ridin
Juli2301 [7.4K]

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

4 0
3 years ago
Factorise the following 5y^2-20y-8z+2yz
andre [41]

Answer:

(5y+2z)(y-4)

Step-by-step explanation:

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8 0
2 years ago
PLEASE HELP!!! <br><br> Which equation represents this ellipse?
Alona [7]

Answer:

y²/25+x²/4=1

Step-by-step explanation:

The equation for an ellipse is either categorized as

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In the ellipse shown, the vertices/endpoints on the x axis are (-2,0) and (2,0). This means that c is equal to 2. Similarly, on the y axis, the endpoints are (5,0) and (-5,0), so d=5.

Our equation is therefore x²/2²+y²/5²=1 = x²/4+y²/25=1

Our answer is therefore the fourth option, or

y²/25+x²/4=1

5 0
2 years ago
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