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lisabon 2012 [21]
2 years ago
9

What is the solution of this compound inequality?  5 < 2 - 3y < 14

Mathematics
1 answer:
Sonbull [250]2 years ago
7 0
5<2-3y<14
-2        -2
3<-3y<12
(Divide by a negative so switch the inequality signs)
-1>y>-4

or
-4<y<-1 
If you want to
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John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21 About how far does
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Answer:

John ski down the mountain is 1285.37 feet.

Step-by-step explanation:

Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.

To find : About how far does  John ski down the mountain ?

Solution :

We draw a rough image of the question for easier understanding.

Refer the attached figure below.

According to question,

Let AB be the height of mountain i.e. AB=1200 feet

The angle of depression is 21 i.e. \theta=21^\circ

We have to find how far does  John ski down the mountain i.e. AC = ?

Using trigonometric,

\cos\theta = \frac{AB}{AC}

\cos(21)= \frac{1200}{AC}

AC=\frac{1200}{\cos(21)}

AC=1285.37

Therefore, John ski down the mountain is 1285.37 feet.

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