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andreev551 [17]
3 years ago
11

Find the exact value of the indicated trigonometric functions for the acute angle a:

Mathematics
1 answer:
amid [387]3 years ago
7 0

Tan=24/10 ≈ 2.4

using Pythagoras theorem

x²=(24)²+(10)²

x²=576+100

x²=57600

x=√57600 => 240

Therefore

sina=24/240 => 0.1

cota=1/tana => 1/(24/10) => 10/24

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2 years ago
Hagan ran 3 miles in 15 minutes at a constant speed. How long will it take him to run 12 miles at the same speed?
Ratling [72]

Answer:

about 2.4 or 2

Step-by-step explanation:

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5 0
3 years ago
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Can somebody help me?
denis-greek [22]
Carol did not work 1/14 of the days.
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3 years ago
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3/5 of an apple tree is unripe what percent of it is ripe?
trapecia [35]
If 3/5 of the tree is unripe, then 2/5 of the tree is ripe.

2/5 = 0.4

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4 0
3 years ago
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Solve for a: 5(a+5)-3=3(2-a)
ivann1987 [24]

Simplify:

5(a + 5) + -3 = 3(2 + -1a)

Reorder the terms:

5(5 + a) + -3 = 3(2 + -1a)

(5 * 5 + a * 5) + -3 = 3(2 + -1a)

(25 + 5a) + -3 = 3(2 + -1a)

Reorder the terms again:

25 + -3 + 5a = 3(2 + -1a)

Combine like terms:

]25 + -3 = 22

22 + 5a = 3(2 + -1a)

22 + 5a = (2 * 3 + -1a * 3)

22 + 5a = (6 + -3a)

Solve:

22 + 5a = 6 + -3a

To solve for variable 'a':

You have to move all terms containing A to the left, all other terms to the right.

Then add '3a' to each side of the equation:

22 + 5a + 3a = 6 + -3a + 3a

Combine like terms:

5a + 3a = 8a

22 + 8a = 6 + -3a + 3a

Combine like terms again:

-3a + 3a = 0

22 + 8a = 6 + 0

22 + 8a = 6

Add '-22' to each side of the equation.:

22 + -22 + 8a = 6 + -22

Combine like terms:

22 + -22 = 0

0 + 8a = 6 + -22

8a = 6 + -22

Combine like terms once more:

6 + -22 = -16

8a = -16

Divide each side by '8'.

a = -2

Simplify:

a = -2

Answer: a=-2

Hope I could help! :)

8 0
3 years ago
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