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vova2212 [387]
3 years ago
14

A clock with an hour hand that is 18 inches long is hanging on a wall. At noon, the vertical distance between the tip of the hou

r hand and the ceiling is 25 inches. At 3 P.M., the distance is 43 inches; at 6 P.M., 61 inches; at 9 P.M., 43 inches; and at midnight the distance is again 25 inches. If_

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:Check the attached

Step-by-step explanation:

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If tan a = 9/40<br>use trigonometric identities to find the values of sin a and cos a.​
Sindrei [870]

Answer:

see explanation

Step-by-step explanation:

Given

tan a = \frac{9}{40} = \frac{opposite}{adjacent}

We require the hypotenuse h

Using Pythagoras' identity

h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )

h = \sqrt{1681} = 41 , thus

sin a = \frac{opposite}{hypotenuse} = \frac{9}{41}

cos a = \frac{adjacent}{hypotenuse} = \frac{40}{41}

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2 years ago
2x+2+2x-17=180 what's x?
Alik [6]

Answer:

x= 48.75

Step-by-step explanation:

Add like terms

2x+2x and

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4x-15=180

Now subtract -15 to both sides get x by itself

4x-15+15=180+15

4x=195

Now divide by four to each side to get x by itself again

4x/4 = 195/4

x=48.75

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2 years ago
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If the degree measures of vertical angles AED and CEB are represented by (3x+20) and (8x-5), find the value of x
NISA [10]
Hello! 3x + 20 and 8x - 5 are equal. To find the value of "x", we should set up and solve an equation. It would be written like this:

3x + 20 = 8x - 5

First off, subtract 3x from both sides in order to get 20 = 5x - 5. Add 5 to both sides to get 25 = 5x. Now, divide each side by 5 to isolate the "x". 25/5 is 5. Now, let's plug in the value and see if it works. 3 * 5 is 15. 15 + 20 is 35. 8 * 5 is 40. 40 - 5 is 35. 35 = 35. There. x = 5.
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3 years ago
Solve the following system of equations graphically on the set of axes below.
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