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natita [175]
2 years ago
12

4r+12=-16 Work shown!!! Please help

Mathematics
2 answers:
Rashid [163]2 years ago
5 0

Answer:

r=-7

Step-by-step explanation:

4r+12=-16

Subtract 12 from both sides.

4r=-28

Divide both sides by 4.

r=-7

Check our work with substitution:

4\cdot-7+12=-28+12=\boxed{-16}

We see that our work is correct.

Tpy6a [65]2 years ago
4 0
<h3>4r + 12 = −16</h3>

<em>Subtract 12 from both sides.</em>

<h3>4r = −16 − 12</h3>

<em>Subtract 12 from −16 to get −28.</em>

<h3>4r = −28</h3>

<em>Divide both sides by 4.</em>

<h3>r = -28/4</h3>

<em>Divide −28 by 4 to get −7.</em>

<h3>r = −7 ==> Answer</h3>
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Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 deg
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Answer:

(a). 2399.23 meters.

(b). 1944.19 meters apart.

Step-by-step explanation:

Please find the attachment.

We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.

(a) We are asked to find how far from the shore is the ship.

We know that tangent relates opposite side of a right triangle with its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(9^{\circ})=\frac{380}{x}

x=\frac{380}{\text{tan}(9^{\circ})}

x=\frac{380}{0.158384440325}=2399.22557

Therefore, the ship is approximately 2399.23 meters away from the shore.

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x+y=\frac{380}{\text{tan}(5^{\circ})}

x+y=\frac{380}{0.087488663526}

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Step-by-step explanation:

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