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daser333 [38]
3 years ago
6

Please help me solve

Mathematics
2 answers:
Lana71 [14]3 years ago
6 0

Answer:

C. 30 ft

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

When we draw out a picture, we should see that we use the Pythagorean Theorem to help solve our missing height:

10² + b² = 32²

b² = 32² - 10²

b = √924

b = 2√231 or 30.3974

Round that to 30 feet.

guajiro [1.7K]3 years ago
4 0

Answer:

30 ft

Step-by-step explanation:

10^2 + y^2 = 32^2

100 + y^2 = 1024

y^2 = 924

y = 30.397

Answer: 30 ft

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Suppose that y varies directly with x and y=10 when x=20. What is y when x=15
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Answer:

y=kx

subst y=10 and x=20 into the above

<em>1</em><em>0</em><em>=</em><em>k20</em>

<em>k</em><em>=</em><em>1</em><em>0</em><em>/</em><em>2</em><em>0</em>

<em>k</em><em>=</em><em>1</em><em>/</em><em>2</em>

<em>therefore</em><em> </em><em>relationship</em><em>:</em><em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>x</em>

<em>subst</em><em> </em><em>x</em><em>=</em><em>1</em><em>5</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>relationship</em>

<em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>(</em><em>1</em><em>5</em><em>)</em>

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Step by step explanation:

  • Step 1: when they say y varies directly with x they mean<em> y is proportional to x</em>
  • step 2: so y=kx where <em>k is the constant</em>
  • step 3: is to substitute <em>y=10</em> and <em>x=20</em> into the above equation y=kx
  • step 4: you will end up with <em>10=k20</em> then divide both sides by 20 so that <em>k becomes the subject of the formula </em>
  • step 5: your answer from the above will be <em>k=10/20 </em>so the relationship is <em>y is directly proportional to 1/2 x </em>what you did here is that you substituted k for 1/2 in the equation in step 3
  • step 6: is to finally substitute x=15 into the equation <em>y=1/2x</em> to finally get your answer <em>y</em><em>=</em><em>7</em><em>,</em><em>5</em><em>.</em>
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