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n200080 [17]
3 years ago
6

The height of a trapezoid is 8 in. And its area is 64 in2. One base of the trapezoid is 6 inches longer than the other base. Wha

t are the lengths of the bases?
Mathematics
1 answer:
slavikrds [6]3 years ago
6 0

Answer:

5 and 11

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)*h

We know the height  is 8 and the area is 64.  

Let one of the bases is b and the other is b+6

64 = 1/2 (b+ b+6) *8

Combine like terms

64 = 4 (2b+6)

Divide each side by 4

64/4 = 4/4 *(2b+6)

16 = 2b+6

Subtract 6 from each side

16-6 = 2b+6-6

10 =2b

Divide each side by2

10/2 =2b/2

5=b

The second base is

5+6 =11

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4 0
3 years ago
An auctioneer sold a herd of cattle whose minimum weight was 920 ​pounds, median was 1160 ​pounds, standard deviation 76​, and I
katen-ka-za [31]

Answer:

minimum = $445

median = $565

standard deviation = $38

IQR = $48

Step-by-step explanation:

The minimum and the median are measures of location and are affected during addition (or subtraction) and multiplication (or division).

Satandard deviation and IQR (inter-quartile range), which are measures of dispersion, are affected by only multiplication (or division).

For the weight,

<em>minimum </em>= 920 pounds

<em>median </em>= 1160 pounds

<em>standard deviation</em> = 76 pounds

<em>IQR </em>= 96 pounds

For the price,

<em>minimum </em>= 0.50(920) - 15 = $445

<em>median </em>= 0.50(1160) - 15 = $565

<em>standard deviation</em> = 0.50(76) = $38............(<em>Subtraction discarded</em>)

<em>IQR </em>= 0.50(96) = $48........................................(<em>Subtraction discarded</em>)

7 0
3 years ago
What is the Answer I need the real answer I’m stuck on it
lara31 [8.8K]

Answer:

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Step-by-step explanation:

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hope this helps :)

5 0
3 years ago
Last saturday maria walked her dog 1 2/5 miles.Natalia walked her dog 5 times as far.How many miles did Natalie walk her dog
faltersainse [42]
Natalia walked her dog 7 miles.
Work:
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4 0
3 years ago
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Priya, Han, and Mai each measured one of the circular objects from earlier. Priya says that the bike wheel is 24 inches. Han say
Burka [1]

Answer:

Yes they are of the same size since they have the same number and standard unit of measurement (i.e 24 inches).

Each person measures the circumference of the circle.

Step-by-step explanation:

Given that :

Priya, Han, and Mai each measured one of the circular objects from earlier.

Priya says that the bike wheel is 24 inches.

Han says that the yo-yo trick is 24 inches.

Mai says that the glow necklace is 24 inches.

Do you think that all these circles are the same size?

Yes they are of the same size since they have the same number and standard unit of measurement (i.e 24 inches).

What part of the circle did each person measure?

Each person measures the circumference of the circle.

The circumference also known as the perimeter of the circle is denoted by :

C = 2π r

The circumference of a circle is the distance round the edges of the circle.

Given that C = 24

24 = 2π r

r = 24/(2π)

r = 3.8 inches

This confirms the claim that all the circle are of the same size since they possess the same radius.

5 0
3 years ago
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