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Anon25 [30]
3 years ago
11

A triangle has side lengths of 5 inches, 12 inches, and 15 inches. Every dimension is multiplied by 1/5 to form a new triangle.

How is the ratio of the perimeters related to the ratio of corresponding sides?
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

a = 5 in

b = 12 in

c = 15 in

the lengths of the sides a, b and c

the perimeter is P = a + b + c = 5 + 12 + 15 = 32 in

let the dimensions of the new triangle be

a1 = (1/5)*5 in

b1 = (1/5)*12 in

c1 = (1/5)*15 in

the perimeter is P1 = a1 + b1 + c1 = (1/5)5 + (1/5)12 + (1/5)15 = (1/5)(5 + 12 + 15) = (1/5)P1

P1 = (1/5)P

P1/P = 1/5 = a/a1 = b/b1 = c/c1

the ratio of the perimeters is equal to the ratio of the corresponding sides.

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Jenna wants to build 8 birdhouses. She needs 2 3/5 square feet of plywood for each birdhouse. If the plywood costs $0.56 per squ
goldenfox [79]

Answer:

$11.76

Step-by-step explanation:

We first need to find the amount of plywood for all birdhouses.

2 3/5 * 8 = 104/5 or 20.8 or 20 4/5

Now we can solve the cost for all the birdhouses by multiplying the total amount of plywood needed by the price per square foot.

20.8 * 0.56 = $11.648 or estimated $11.65

Remember, the question might be different, so don't submit anything yet. If the people who sell the plywood only sell in integer numbers (meaning you can't buy 4/5 of a square foot of wood but can only by amounts with no fractions), then Jenna must buy 21 square feet of plywood and will have a little bit of wood left over. Now solve just like before.

21 * 0.56 = $11.76

Therefore the answer is $11.76 if she can only buy an integer amount of plywood or estimated $11.65. I think the best answer is 11.76.

3 0
3 years ago
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Answer:

14.3%

Step-by-step explanation:

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Step-by-step explanation:

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Read 2 more answers
Percents from Tabled Values
alexandr1967 [171]

Answer:

  • 17.9% of men have a HS degree
  • 50.5% of 2-yr degree earners were women
  • 27.9% of the group has a 4-yr degree or higher

Step-by-step explanation:

It is convenient to use a spreadsheet to total the numbers for you. This reduces errors and put the numbers in a form that makes it easy to see what you're working with in any given calculation.

  men with HS degree = (male HS)/(all male)

  = 76/425 ≈ 0.1788 ≈ 17.9%

__

  2-yr degrees that are women = (female 2-yr)/(2-yr total)

  = 248/491 ≈ 0.5051 ≈ 50.5%

__

  4-yr degrees in group = (4-yr degrees)/(total group)

  = 258/925 ≈ 0.2789 ≈ 27.9%

_____

<em>Comment on the problem</em>

The spreadsheet is identical to the one used for your other problem. All that needed to be done was to enter the new numbers. The formatting, headers, and formulas remained the same. For solving these problems, it's a matter of picking the two numbers needed from the appropriate row or column and computing their ratio.

(The computations were done by hand here to better show you the numbers used and the rounding to tenth percent. They can be done in the spreadsheet with point and click.)

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