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Romashka [77]
3 years ago
15

The statue of liberty is 305 feet tall. A nearby building is 4/9 as tall. Find the height of the building.

Mathematics
1 answer:
inysia [295]3 years ago
5 0

Answer:

The nearby building is 135 \dfrac{5}{9} feet tall.

Step-by-step explanation:

The statue of liberty is 305 feet tall.

A nearby building is \dfrac{4}{9} as tall as the statue of liberty.

To find the height of the building, you need to find \dfrac{4}{9} of 305:

\dfrac{4}{9}\cdot 305=\dfrac{1,220}{9}= 135 \dfrac{5}{9}\ feet

Thus, the nearby building is 135 \dfrac{5}{9} feet tall.

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What is the product of the polynomial (7x+7) (x+2)
kolbaska11 [484]

Answer: 7x^2+21x+14

Step-by-step explanation:

(7x+7)(x+2)

Multiply each term in the first parentheses by each term in the second parentheses (FOIL)

7x×x+7x×2+7x+7×2

↘ ↙

7x×x calculate product

7x^2+7x×2+7x+7×2

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7x×2 calculate product

7x^2+14x+7x+7×2

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7×2 multiply numbers

7x^2+14x+7x+14

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21x collect like terms

7x^2+21x+14 is your end result.

3 0
3 years ago
What is the perimeter of a semi circle if the perimeter is 10
slamgirl [31]
It is 10 which is b so that’s the right answer
4 0
3 years ago
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How do I find the slope of a perpendicular line?
Licemer1 [7]
Yes, math can be challenging sometimes (mostly due to the horrible way its taught by teachers but I wont go on a rant about that today).

The Slope of a parallel line is obviously going to have the same slope as the line it is parallel to, which you already know.

But for perpendicular, how would we figure that out?

First, you need to understand whats going on.  Picture a linear line.  Now, look at the (0,0) point.  To make it perpendicular, it must form 90 degrees with the other line.  Now, to get the answer for a perpendicular line, you need to remember two steps.

1.) Change the sign to the opposite sign (negative would go positive and positive would go negative)

2.) You take the reciprocal of the line (That is what times that number would make that number equal one.  2 * 1/2 would be 1.  You can also look at this by switching the denominator and numerator.

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4 0
3 years ago
Yesterday,
Mashutka [201]

Answer:

45

Step-by-step explanation:

5 divided by 8, multiply by 72

=(5÷8)72

=(0.625)72

=45

6 0
3 years ago
Suppose that a group of 10 people join a weight loss program for 3 months. Each person's weight is recorded at the beginning and
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To test the effectiveness of the weight loss program, a PAIRED SAMPLE test distribution is used.

The weight loss data collated for the program for both the beginning and end of the program period was obtained with one subject or person having two separate readings, these shows that the samples are NOT INDEPENDENT.

When performing a test which involves DEPENDENT or MATCHED samples, whereby means of two measurements taken from the SAME subject are involved, a PAIRED SAMPLE TEST DISTRIBUTION IS ADOPTED.

Therefore, the effectiveness of the weight loss programme will be accurately evaluated using a PAIRED SAMPLE TEST.

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