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zubka84 [21]
2 years ago
8

The sides of a rectangle measure 14 and 21. The perimeter of a similar rectangle is 40. What are the lengths of its Sides

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
3 0

Answer:

  8 and 12

Step-by-step explanation:

The perimeter of the given rectangle is ...

  P = 2(L +W)

  P = 2(14 +21) = 2(35) = 70

The scale factor to the similar triangle is ...

  similar perimeter/original perimeter = 40/70 = 4/7

__

The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:

  (14)(4/7) = 8

  (21)(4/7) = 12

The sides of the similar triangle are 8 and 12.

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A 3-gallon bottle of fabric softener costs $33.24. What is the price per quart?
asambeis [7]

Answer:

$2.77 per quart.

Step-by-step explanation:

There are four quarts in a gallon.

4 * 3 = 12

There are 12 quarts in 3 gallons.

\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}

The price per quart should be $2.77.

Hope this helps.  

8 0
3 years ago
7,060,268,214.what is this number rounded to the nerest hundred million?
kodGreya [7K]
7,060,268,214 rounded to the nearest hundred million is 7,100,000,000.

It's because 60,268,214 is closer to 100,000,000 than 000,000,000 (in terms of 7 million of course).
6 0
3 years ago
Given f(x) = 2x + 1, find the range value if the domain value is 1.75.
MAXImum [283]

Given:

The function is

f(x)=2x+1

To find:

The range value if the domain value is 1.75.

Solution:

Domain is the set of input values and range is the set of output values.

Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.

Substitute x=1.75 in the given function.

f(1.75)=2(1.75)+1

f(1.75)=3.5+1

f(1.75)=4.5

Therefore, the required range value is 4.5.

4 0
2 years ago
Mr. Smith gave a cashier a $50 bills for a purchase of $38.70. The cashier gave him a $10 dollar bill, two $1 bills and three di
Aleksandr-060686 [28]

Answer

no he gave him a dollar extra. if his total is 38.70 and gave 50 if you subtract it would be 11.30 not 12.30

Step-by-step explanation:

4 0
3 years ago
A bakery uses 10 4/5 ounces of icing for every 1/4 of a cake.what is the unit rate in ounces of icing per cake
alexandr1967 [171]
10 4/5 = 54/5

54/5 x 4 = 216 / 5= 43 1/5

unit rate = 43 1/5 ounces / per cake


3 0
3 years ago
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