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eimsori [14]
3 years ago
14

A 10 foot ladder is placed 4-feet from the edge of a building. How far up the building does the ladder reach? Round your answer

to the nearest tenth of a foot.
A:10.8 feet
B:9.2 feet
C:2.4 feet
D:3.7 feet
Mathematics
1 answer:
MariettaO [177]3 years ago
5 0

Answer:

9.2 feet.  b.)

Step-by-step explanation:

This uses the Pythagorean Theorem

Do you notice that the ladder forms a right triangle with the building.

10 feet  =  hypotenuse length

4 feet  = bottom leg length

x feet = height of building

so   10^2 = 4^2  + x^2

100 = 16 + x^2

84 = x^2

x = root(84)  = 9.16515  feet   about  9.2 feet

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Michael is planting a garden. The probability that a seed will produce a plant is 9/10
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In a certain chemical, the ratio of zinc to copper is 4 to 9. A jar of the chemical contains 396 grams of copper. How many grams
larisa86 [58]

Answer:

176 grams of zinc.

Step-by-step explanation:

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5 0
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At the beginning of year 1, Bode invests $250 at an annual simple interest rate of 3%. He makes no deposits to or withdrawals fr
Dennis_Churaev [7]
The initial investment = $250
<span>annual simple interest rate of 3% = 0.03
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Let the number of years = n
the annual increase = 0.03 * 250
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At the beginning of year 2 ⇒ n = 2 ⇒⇒⇒ A(2) = 250 + 1 * 250 * 0.03
At the beginning of year 3 ⇒ n = 3 ⇒⇒⇒ A(2) = 250 + 2 * 250 * 0.03
and so on .......
∴ <span>The formula that can be used to find the account’s balance at the beginning of year n is:
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A(n) = 250 + (n-1)(0.03 • 250)
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4 0
4 years ago
Read 2 more answers
A local bake shop sells cookies and cakes.On monday , sean bought 3 cookies and 5 cakes and spent $78.75 on tuesday , sean bough
Bond [772]

Answer:

The price of one cookie is $1.25 and the price of one cake is $15.

Step-by-step explanation:

Let $x be the price of one cookie and $y be the price of one cake.

1. On Monday, Sean bought 3 cookies and 5 cakes, then he spent $(3x+5y) and this is $78.75. Thus,

3x+5y=78.75.

2. On Tuesday, Sean bought 8 cookies and 2 cakes, then he spent $(8x+2y) and this is $40. Thus,

8x+2y=40.

3. Solve the system of two equations:

\left\{\begin{array}{l}3x+5y=78.75\\8x+2y=40\end{array}\right.

Multiply the first equation by 2 and the second equation by 5 and subtract them:

2(3x+5y)-5(8x+2y)=2\cdot 78.75-5\cdot 40,\\ \\6x+10y-40x-10y=157.5-200,\\ \\-34x=-42.5,\\ \\x=\$1.25.

Then

8\cdot 1.25+2y=40,\\ \\2y=40-10,\\ \\y=\$15.

8 0
3 years ago
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