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olga2289 [7]
2 years ago
10

Explain why the triangles are similar. Then find the missing​ length,

Mathematics
1 answer:
Law Incorporation [45]2 years ago
8 0
6 because the small triangle is a dilation of 3
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A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and
Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

<h3>How to determine the equation</h3>

The equation is a secant function represented by

y =A\sec(Bt)

Where:

A represents the amplitude

So, we have:

A = 40 --- the distance of the light from each square wall

B represents the period, and it is calculated as:

B = \frac{2\pi}{T}

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

B = \frac{2\pi}{6}

Simplify

B = \frac{\pi}{3}

Substitute values for A and B in y =A\sec(Bt)

y = 40\sec(\frac{\pi}{3}t)

Rewrite as a function

d(t) = 40\sec(\frac{\pi}{3}t)

Hence, the equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

Read more about trigonometry functions at:

brainly.com/question/1143565

5 0
2 years ago
The ratio of teachers to students in a school is 1:18.
sineoko [7]

Answer:

if there are 360 students, the number of teacher will be 6,480...

360:6,480

6 0
3 years ago
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Seven more than twice a number is equal to 25. Which of the following is the number? Use
Snowcat [4.5K]

Answer:

the answer is 9

Step-by-step explanation:

when doubled 9 is 18

18+7=25

4 0
2 years ago
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Which is not a true proportion <br><br> 4/8 = 1/2<br> 7/21=1/3<br> 10/25=2/5<br> 12/14=4/7
valentinak56 [21]

Answer: D

Step-by-step explanation:

12 and 14 share the factor 2 so the furthest it can be simplified to is 6/7. this is not equal to 4/7

4 0
2 years ago
Simplify 2x^2 + 16x +30/ 5x^2 +13x -6
german
<span> (-2x - 1) • (5x + 4)</span>
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2 years ago
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