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BigorU [14]
2 years ago
8

HELP!

Mathematics
1 answer:
erastova [34]2 years ago
6 0

Answer:

98 feet

Step-by-step explanation:

If it is similar that means the side lengths are scaled by a scale factor.

The original garage is 30 feet wide, this one is 35 feet. To find the scale factor, 35 / 30 = 1 \frac{1}{6}. Multiply 12 by the scale factor and you get 14 feet as the length. To find the amount of rope to rope off the area, you find the perimeter. Perimter is 2 * length + 2 * width.

14 * 2 + 35 * 2 = 98

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Using the remainder theorem which quotient has a remainder of 20?
stealth61 [152]

Answer:

D

Step-by-step explanation:

When a polynomial f(x) is divided by (x - a) then remainder is f(a)

A

divided by (x + 4 ), then a = - 4

(-4)^{4} - 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20

B

divided by (x - 2), then a = 2

3(2)³ + 7(2)² + 5(2) + 2

= 3(8) + 7(4) + 10 + 2

= 24 + 28 + 12 = = 64 ≠ 20

C

divided by (x + 5) , then a = - 5

(- 5)³ + 5(- 5)² - 4(- 5) + 6

= - 125 + 125 + 20 + 6 = 26 ≠ 20

D

divided by (x - 2), then a = 2

3(2)^{4} - 5(2)³ + 5(2) + 2

= 3(16) - 5(8) + 10 + 2

= 48 - 40 + 12 = 20 ← Remainder of 20

3 0
3 years ago
HOW TO FINISH IT? Complete the table and pattern. Determine the common difference. Write the explicit rule.
sp2606 [1]

a_{n} = a_{1} + d(n - 1)   <em> a₁ is the first term, d is the difference, and n is the term</em>

a₁ = -5

d = -5

a_{n} = -5 - 5(n - 1)

a_{n} = -5 - 5n + 5  

a_{n} = -5n            <em>explicit formula</em>

a_{n} = -5a_{n-1}       <em>recursive formula</em>

4 0
3 years ago
80 times 30 plus 60 equals
UNO [17]

Answer:

2460

Step-by-step explanation:

Hope this helps :)

6 0
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Step-by-step explanation:

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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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4 years ago
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