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lilavasa [31]
3 years ago
5

A deck is in the shape of a right triangle. The area of the deck is 44 m². The length of one side of the deck next to the right

angle is 8 m.
What is the length of the other side next to the right angle of the deck?



Enter your answer in the box.
Mathematics
1 answer:
Andrews [41]3 years ago
8 0
11m
The area of a triangle is bh/2. If we know the height (8m), we can plug it into a=bh/2 for a=8h/2 or a=4h or a/4=h
Since we know the area (44m^2), we can put that in for 44/4=h or h=11 metres.
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pogonyaev

Answer: After 1 year:    $5,610

After 2 years: $5,722.20

Step-by-step explanation: Use the formula for periodic compounding interest, which is

A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.

Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,

t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)

Plug the known values in to solve...

For 1 year...

A = 5,500(1 + 0.02/1)^(1*1)

  A = 5,500(1.02)^1

     A = 5,610

For 2 years...

A = 5,500(1 + 0.02/1)^(1*2)

  A = 5,500(1.02)²

     A = 5,722.20

3 0
2 years ago
What is the difference when 6x3 − 8x2 − 9 is subtracted from 4x3 − 7x2 + 14?
kirill115 [55]

Answer:

Step-by-step explanation:

7 0
3 years ago
16 2/5 - 9 2/3 = show work
fgiga [73]

Answer:

Conversion a mixed number 16 3

8

to a improper fraction: 16 3/8 = 16 3

8

= 16 · 8 + 3

8

= 128 + 3

8

= 131

8

To find new numerator:

a) Multiply the whole number 16 by the denominator 8. Whole number 16 equally 16 * 8

8

= 128

8

b) Add the answer from previous step 128 to the numerator 3. New numerator is 128 + 3 = 131

c) Write previous answer (new numerator 131) over the denominator 8.

Sixteen and three eighths is one hundred thirty-one eighths

Conversion a mixed number 9 5

8

to a improper fraction: 9 5/8 = 9 5

8

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8

= 72 + 5

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= 77

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To find new numerator:

a) Multiply the whole number 9 by the denominator 8. Whole number 9 equally 9 * 8

8

= 72

8

b) Add the answer from previous step 72 to the numerator 5. New numerator is 72 + 5 = 77

c) Write previous answer (new numerator 77) over the denominator 8.

Nine and five eighths is seventy-seven eighths

Subtract: 131

8

- 77

8

= 131 - 77

8

= 54

8

= 2 · 27

2 · 4

= 27

4

The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 8) = 8. Cancelling by a common factor of 2 gives 27

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.

In words - one hundred thirty-one eighths minus seventy-seven eighths = twenty-seven quarters.

Step-by-step explanation:

3 0
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T = 2π(1/2)

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