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Ne4ueva [31]
3 years ago
11

Problem page an 11 - ft ladder leans against the side of a house. the bottom of the ladder is 8 ft from the side of the house. h

ow high is the top of the ladder from the ground? if necessary, round your answer to the nearest tenth.
Mathematics
1 answer:
Lisa [10]3 years ago
5 0
A^2 + b^2 = c^2
8^2 + b^2 = 11^2
64 + b^2 = 121
b^2 = 121 - 64
b^2 = 57
b = sqrt 57
b = 7.54 rounds to 7.5 ft <==
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Step-by-step explanation:

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3 years ago
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Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0
3 years ago
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Archy [21]

Answer:

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Step-by-step explanation:

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3 years ago
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gavmur [86]

Answer:

Step-by-step explanation:

x/24 = 30/36 simplify

x/24 = 5/6 divide 24 by 6 is 4; multiply 4 by 5

x= 20

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3 years ago
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n200080 [17]

Answer:

  y = 3x +4

Step-by-step explanation:

The equation for the parallel line will have the same x- and y-coefficients, but a different constant. You can put the given point values into the equation to see what the constant needs to be:

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The equation of the line is ...

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3 0
3 years ago
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