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zepelin [54]
3 years ago
10

Please assist me with #14​

Mathematics
1 answer:
Eddi Din [679]3 years ago
4 0

Answer:

  a, c) see below

  b) trapezoid

  d) 80 square units

Step-by-step explanation:

a, b, c) See the attached plot. The different-length horizontal bases make this a trapezoid.

__

d) The area of the original is ...

  A = (1/2)(b1 +b2)h = (1/2)(1+4)(2) = 5

Dilation by a factor of 4 multiplies the area by a factor of 4² = 16.

The area of the larger trapezoid is ...

  5 × 16 = 80 . . . . square units

__

Of course, you can use the area formula, too:

  A = (1/2)(b1 +b2)h = (1/2)(4 +16)(8) = 80 . . . . square units

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Yuri [45]

Answer:

{13.7, 13,7/100 –13,17/100 –13.2}

Step-by-step explanation:

4 0
2 years ago
Helpppppp and explain tooo thank you :)
Wittaler [7]

Answer:

{5, 6, 7}

Step-by-step explanation:

When we have a given relation, the domain is the set of inputs, and the range as the set of the outputs.

so for a function f(x), and a domain {a. b. c}

The range is:

{f(a), f(b), f(c)}

In this case, we have:

f(x) = x + 6

and the domain is {-1, 0, 1}

Then the range is:

{ f(-1), f(0), f(1) }

{-1 + 6, 0 + 6, 1 + 6}

{5, 6, 7}

The correct option is the third one.

4 0
2 years ago
A movie collector has 105 movie posters and 90 band posters if she sells 21 movie posters then how many band posters should she
kotykmax [81]

Hi there! :)

<u>Answer:</u>

In order to maintain the same ratio, she should sell 18 band posters.


<u>Step-by-step explanation:</u>

<u>Initial ratio:</u>

Ratio is: 105 movie posters for 90 band posters = <u>105 : 90</u>


She sells 21 movie posters, which means that we are left with 105 movies minus the 21 she sold.

105 - 21 = 84 → She now has <u>84</u> movie posters.


In order to answer your question, you'll need to use the cross product method:

105 movie posters → 90 band posters

84 movie posters  → X

<u>(90 × 84)</u> ÷ 105 = X

<u>7,560 ÷ 105</u> = X

72 = X ⇒ Number of band posters she should have left to maintain the same ratio.

She has 90 band posters :

90 <u>- X</u> = 72

Add "X" to each side of the equation → 72 + X = 72 + X

90 = <u>72</u> + X

Subtract 72 from each side of the equation → 90 - 72 = 18

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4 0
3 years ago
What fraction of 3 is 2 2/5
Yuki888 [10]

Answer: 2 2/5 is 4/5 of 3

Step-by-step explanation:

We can view that as what do we multiply 3 by to get 2 2/5 and call that value x

3x = 2 2/5

x = (2 2/5)/3

Let's turn 2 2/5 into an improper fraction... 2 2/5 = 12/5

So we have

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Verify:  3(4/5) = 12/5 = 2 2/5

5 0
2 years ago
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