The answers are 2460, 37,000, 3670 and 5000
Step-by-step explanation:
- Step 1: Find the answers for each by multiplying.
24.6 × 100 = 2460 (moved one decimal point)
37 × 1000 = 37,000
0.367 × 10000 = 3670 (moved three decimal points)
0.005 × 1000,000 = 5000 (moved three decimal points)
Data:
h (<span>Tower height) = 120 ft
d (</span><span>Distance from the base of the tower to the airplane) = ?
</span>
(<span>Angle formed from observation of the tower to the airplane)=19º
Data: tg 19º </span>≈ 0.34
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Note: </span><span>The angle formed is tangent to the height of the tower and the distance from the base of the tower to the airplane.
</span><span>Formula:
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Solving:
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Answer:
<span>
Distance from the base of the tower to the airplane is aproximately 352.9 ft</span>
<span>Multiply the first equation by -2,and multiply the second equation by 1.</span><span><span>−2</span><span>(<span><span>x+<span>4y</span></span>=11</span>)</span></span><span>1<span>(<span><span><span>2x</span>+<span>2y</span></span>=<span>−8</span></span>)</span></span>Becomes:<span><span><span>−<span>2x</span></span>−<span>8y</span></span>=<span>−22</span></span><span><span><span>2x</span>+<span>2y</span></span>=<span>−8</span></span>Add these equations to eliminate x:<span><span>−<span>6y</span></span>=<span>−30</span></span>Then solve<span><span>−<span>6y</span></span>=<span>−30</span></span>for y:<span><span><span>−<span>6y</span></span><span>−6</span></span>=<span><span>−30</span><span>−6</span></span></span>(Divide both sides by -6)<span>y=5</span>Now that we've found y let's plug it back in to solve for x.Write down an original equation:<span><span>x+<span>4y</span></span>=11</span>Substitute5foryin<span><span><span>x+<span>4y</span></span>=11</span>:</span><span><span>x+<span><span>(4)</span><span>(5)</span></span></span>=11</span><span><span>x+20</span>=11</span>(Simplify both sides of the equation)<span><span><span>x+20</span>+<span>−20</span></span>=<span>11+<span>−20</span></span></span>(Add -20 to both sides)<span>x=<span>−9</span></span>Answer:<span><span>x=<span>−<span><span>9<span> and </span></span>y</span></span></span>=<span>5</span></span>
✿————✦————✿————✦————✿
This is the answer:
✿————✦————✿————✦————✿
Step:
* To raise a power to another power, multiply the exponents. Multiply 1/2 and −2 to get −1.
* To raise a power to another power, multiply the exponents. Multiply −1/4 and −2 to get 1/2.