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coldgirl [10]
2 years ago
14

One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square u

nits. Find the length of the longer base.
Mathematics
1 answer:
Gelneren [198K]2 years ago
4 0

Answer:

The length of the longer base he 35 units

Step-by-step explanation:

Here, we want to find the length of the longer base of the trapezoid

Mathematically, we can find the area using the formula;

1/2( a + b) h

where a is the shorter base

b is the longer base

h is the height

Let the shorter base be x

The other base is 5 times this length and that makes 5 * x = 5x

Height is the average of both bases;

(x + 5x)/2 = 6x/2 = 3x

Substituting these in the formula, we have ;

1/2(x + 5x)3x = 441

3x(6x) = 882

18x^2 = 882

x^2 = 882/18

x^2 = 49

x^2 = 7^2

x = 7

But the longer base is 5x and that will be 5 * 7 = 35 units

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Answer:

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Step-by-step explanation:

To find : What sign of a null hypothesis must always include?

Solution :

The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.

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5 0
3 years ago
What is the sum or difference of 5/7 - 1/3
Hatshy [7]
ANSWER: 8/21

Step:
1. Find the GCF (Greatest Common Factor)
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      7: 7, 14, 21, 28
      3: 3, 6, 9, 12, 15, 18, 21, 24, 27
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2.  5/7 -1/3
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3. Sove
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7 0
3 years ago
Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?
Ksenya-84 [330]

Answer:

<u>Hanna is 8 years old.</u>

Step-by-step explanation:

Hanna = x

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Step-by-step explanation:

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Gala2k [10]
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\frac{3x^2 - 3-x^2-6}{x+2}

\frac{2x^2-9}{x+2}
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