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tia_tia [17]
3 years ago
8

Need help solving for X

Mathematics
2 answers:
larisa86 [58]3 years ago
6 0
Sin Ф=opposite / hypotenuse
Data:
Ф=70º
opposite=12 cm

hypotenuse=x

therefore:

sin 70º=12 cm/hypotenuse
hypotenuse=12 cm / sin 70º
hypotenuse=12.770...cm≈12.8 cm

Answer:  x=12.8 cm
Alex17521 [72]3 years ago
3 0
Here, sin 70 = 12 / x
As we know, the exact value of sin 60, we can round-off, for that:
sin 60 = 12 / x
√3 / 2 = 12 / x
x = 24/√3
x = 8√3 cm

So, your final answer is 8√3 or 13.84 cm

Hope this helps!
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Which of the following equations is equivalent to log(y)= 3.994 ?
Kisachek [45]

Answer:

The correct answer is option D: y = 10^{3.994}

Step-by-step explanation:

Given:  

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

y =log_b(x) => b^y =x

For x > 0, b >0, b \neq 1

Also if no base  b  is indicated, the base of the logarithm is assumed to be  10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

now

log_{10}(y)= 3.994

Then

y = 10^{3.994}

4 0
2 years ago
The math department sold pie slices to buy new math books. Two pies were contributed by members of the department. Each pie was
kenny6666 [7]
The answer is 8, just divide 6 by 48. Hope it helped.
8 0
2 years ago
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Vivi is 40 floors from the top of her building. If she starts at the bottom and runs up 5 floors every 20 seconds, how far is sh
Murrr4er [49]

Answer:

17 floors

Step-by-step explanation:

1 floor every 4 seconds.

90/4 = 22.5

40 - 22.5 = 17.5

17.5 is 17ish floors, and is the only answer that is close to 17 floors.

8 0
2 years ago
A rectangular room is 11 feet by 18 feet. The ceilings are 10 feet high. If a gallon of paint covers 250 square feet. How many g
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Answer:

2.32 gallons of paint

Step-by-step explanation:

First, find the area of all 4 sides of the room, with the equation A = lw

11(10)

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18(10)

= 180 (for the other 2 walls)

Add these up:

110 + 110 + 180 + 180

= 580

Then, divide this by 250:

580/250

= 2.32

So, 2.32 gallons of paint will be needed to paint the room.

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3 years ago
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