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mylen [45]
2 years ago
8

The width of a rectangle is 12 inches more than the length. The perimeter is 76 inches. Find the width and the length.

Mathematics
1 answer:
stira [4]2 years ago
3 0

Answer:

The length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.

Step-by-step explanation:

You have to consider the formula of the perimeter = 2·length + 2·width.

If we call "x" to the length ⇒ width = x + 12 .

Perimeter = 2x + 2·(x + 12) ⇒ Perimeter = 2x + 2x + 24

⇒Perimeter = 4x + 24. ⇒ 76 = 4x + 24 ⇒ 76 - 24 = 4x ⇒52 = 4x

⇒ 52/4 = x ⇒ x = 13.

So, the length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.

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Given:
wild turkey ; 12 in the first hour and cumulative number increases by 40% per hour
white-tail deer ; 18 in the first hour and 10 deer each hour after that.

wild turkery: 12 * (1.40)^n-1 ; n is the number of hour
white-tail deer: 18 + 10^n-1 ; n is the number of hour

n     wild turkey     white-tail deer
1          12                 18
2          17                 28
3          24                 38
4          33                 48
5          46                 58
6          65                 68
7          90                 78

It would be hour 7 after sunrise that the cumulative count of the turkeys first exceed the cumulative count of the deer.
4 0
3 years ago
James is employed at Chase Bank and makes $32,000 annually. If 20% of his income goes to housing, how much does he spend on hous
alisha [4.7K]

Answer:

$6,400

Step-by-step explanation:

1) 20% of 32,000 goes to housing!

This can be written as 0.2 times 32,000

The value of: 0.2 x 32,000 equals 6,400!

That would be your answer ($6,400)

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3 years ago
Read 2 more answers
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HACTEHA [7]

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

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When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

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Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

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Number of roots = 6

Option (4)

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By simplifying the expression,

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Degree of the polynomial = 10

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Step-by-step explanation:

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3 years ago
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