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Rama09 [41]
3 years ago
11

Find the missing side. Round your answer to the nearest hundredth. х 28° 42 in in

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

The length of the missing side x = 47.57 in    

Step-by-step explanation:

Given

Ф = 28°

The length of the side adjacent to the angle Ф is = 42 in

To determine

The hypotenuse x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

substitute adjacent = 42 in, hypotenuse = x and Ф = 28°

cos 28° = 42 / x

x = 42 / cos 28°

x = 47.57 in      

Therefore, the length of the missing side x = 47.57 in    

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3 years ago
Solve each equation.<br> 7) 18 =-2+a<br> 8) -7= m - 12<br> 9) -8(7 + 7n)=-336<br> 10) -140=-7(-4+36)
lesya692 [45]

Answer:

7) a= 20

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Step-by-step explanation:

7) 18+2=-2+2+a

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>> -56+56 + -56n = -336+56

>>> -56n/-56 = -280/-56

>>>> n = 5

use distributive property, cancel out necessary numbers, isolate the variable. leaving n = 5.

10) -140 = <u>-7(-4 </u>+ <u>3b)</u>

>>  -140 = 28 - 21b >> -140-28 = -21b +28-28 ( flipped the numbers)

>>>  -168/-21 = -21b /-21

>>>> 8 = b >> b =8

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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This means that a pyramid always have the number of face which is one more than the number of sides of the base.

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4 years ago
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