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Oxana [17]
3 years ago
7

A zip line runs from the top of a platform on the edge of a pond to the ground across the pond. A camp counselor places a mirror

on the edge of the pond across from the platform and stands back until the top of the platform is visible in the mirror. Use similar triangles to find the height of the platform.

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

Answer:

150 ft

Step-by-step explanation:

The diagram shown gives us a picture of two similar right triangle.

The height of the man is similar to the height of the platform.

To find the height of the platform, multiply the height of the man by the scale factor.

Scale factor = the ratio of any corresponding sides of two similar triangles.

Scale factor = 100 ft ÷ 4 ft = 25

Height of man = 6ft

Therefore, height of platform = 6 ft × 25 = 150 ft

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Answer:

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Step-by-step explanation:

4 0
3 years ago
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park: A coordinate plane is shown.
Nostrana [21]

Question:

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park.There is a point at (−6, 3) labeled Dog 1. There is a point at (−6, −3) labeled Dog 2.

Which statement best describes the relationship between the positions of the two players?

A.Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

B.Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

C.Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

D. Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answer:

Option B: Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Explanation:

The position of the Dog 1 is (−6, 3).

The position of the Dog 2 is (−6, -3).

From the graph, we can see that the image of Dog 1 is reflected over x-axis. Because to reflect an image over x-axis, the signs of y-coordinate must be changed.

Hence, Option B is correct.

Thus, Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

7 0
3 years ago
PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP
BARSIC [14]

Step-by-step explanation:

The 2 lines are parallel to each other which means that angle #5 and 93° are alternate interior angles so by definition, they are equal. Hence angle 5 = 93°

8 0
3 years ago
West and Company uses the LIFO method to calculate inventory values. Their beginning inventory consisted of 200 units at a cost
nirvana33 [79]
The total inventory is 200 + 300 + 400 + 100 = 1000. If 300 units remained, the we calculate the cost of the 700 sold via LIFO. These 700 units include the 100 units at $12.00, the 400 units at $11.00, and 200 units at $10.00 (out of the 300 purchased). This is a total cost of 100*12 + 400*11 + 200*10 = 1200 + 4400 + 2000 = $7600.
7 0
3 years ago
16. Solve -3x2 - 9x + 12 = 0.
AURORKA [14]

Given :

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To find :-

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Solution :-

Given equation ,

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  • x = 3/3 , -4
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7 0
3 years ago
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