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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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olga nikolaevna [1]
To solve for this we will be using the formula S = D/T

S = Speed
D = Distance 
T = Time

First we need to re-arrange this formula to solve for time

T= D/S

T = 400/230

T=1.74 hours

.74 hours is close enough to .75 that we can say it is 45 minutes

So it is 1 hour and 45 minutes
7 0
3 years ago
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Select the fraction equivalent of 0.06. reduce to the lowest terms
viva [34]

Answer: 3/50

Step-by-step explanation:

0.06 = 6/100 , 100 would be the denominator because we have two figures after the decimal point. Each figures can also be represented by 10,

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0.06 = 6 × 10-²

Now 0.06 = 6/100

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Therefore, the fractional form = 3/50 in its lowest term.

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3 years ago
Hose 1 in June took 45 mins to fill a pool of height of 20 inches and length 110 inches. Hose 2 in July took 15 mins to fill the
worty [1.4K]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)
vovangra [49]

Answer:

<h2>The answer is 8.9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 2) and (1, -6)

The distance between them is

d =   \sqrt{ ({ - 3 - 1})^{2}  +  ({2 + 6})^{2} }   \\  =  \sqrt{ ({ - 4})^{2} +  {8}^{2}  }  \\  =  \sqrt{16 + 64}  \\  =  \sqrt{80}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 4 \sqrt{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 8.9442719...

We have the final answer as

8.9 units to the nearest tenth

Hope this helps you

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180 product of a prime factor using indices
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<span>Once you end up with a quotient of "1" you're done. </span>

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