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tia_tia [17]
3 years ago
14

The rectangles below are similar in shape. How wide is the smaller rectangle?

Mathematics
1 answer:
Amanda [17]3 years ago
7 0

Answer:

\huge\boxed{x=28\ ft}

Step-by-step explanation:

If two rectangles are similar, then corresponding sides are in proportion.

Therefore we have the equation:

\dfrac{x}{42}=\dfrac{36}{54}

cross multiply

54x=(42)(36)\\\\54x=1512

divide both sides by 54

\dfrac{54x}{54}=\dfrac{15212}{54}\\\\x=28

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Answer:

10. 32 & 37

11. 3 & 4

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7 0
3 years ago
Zapisz w postaci jednej potęgi (zapisz obliczenia):
crimeas [40]

Answer:

1. 62,3

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3 years ago
Health club A charges $60 yearly enrollment fee and $2 per visit. Health club B charges $20 yearly enrollment fee and &4 per
atroni [7]

Answer:

  20 visits

Step-by-step explanation:

The club that charges $40 more for enrollment charges $2 less per visit. The savings on visits is equal to the extra enrollment charge when the number of visits is 40/2 = 20.

For 20 visits, the cost at both clubs is the same.

__

If you let v represent the number of visits, ...

  A = 60 +2v . . . . cost at club A

  B = 20 +4v . . . . cost at club B

  A = B   ⇒   60 +2v = 20 +4v . . . . . . costs are the same for "v" visits

  40 = 2v . . . . . . . subtract 20+2v from both sides

  40/2 = v = 20 . . . . . . same as "word solution" above

7 0
3 years ago
Using the change-of-base formula, which of the following is equivalent to the
Otrada [13]

Given:

The logarithmic expression is:

\log_718

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

\log_ba=\dfrac{\log_ca}{\log_cb}

The given expression is:

\log_718

Using the change-of-base formula, we get

\log_718=\dfrac{\log_c18}{\log_c7}

Where, is a constant and c>0.

Let c=10, then

\log_718=\dfrac{\log_{10}18}{\log_{10}7}

Therefore, the correct option is a.

3 0
3 years ago
There are 60 cars in a car lot.
Dimas [21]

Answer:

HONDA made 24 cars

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3 years ago
Read 2 more answers
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