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alex41 [277]
3 years ago
7

The dimensions of a rectangular piece of construction paper are 11.5 inches and 18 inches. Maggie folded the piece of paper alon

g its diagonal.
Which measurement is closest to the length of the diagonal in inches?


7.6 in

13.8 in.

21.4 in

29.5 in.​
Mathematics
1 answer:
lozanna [386]3 years ago
6 0
C

Use the formula of the Pythagorean theorem. a^2 + b^2 = c^2

a = 11.5
b = 18

11.5^2 + 18^2 = 456.25^2
Sqrt(456.25) to find c

c=21.36 in.
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4. Simplify the expression:
Natalija [7]

Answer:

<h2>A. 2x² + 5x + 1</h2>

Step-by-step explanation:

7x^2-6+4x+7-5x^2+x\qquad\text{combine like terms}\\\\=(7x^2-5x^2)+(4x+x)+(-6+7)\\\\=2x^2+5x+1

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What is f(2) = 2x -6
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Answer:

f(2) = -2

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3 years ago
Evaluate the expression 3•5^x when x is 2​
zmey [24]

Answer:

The answer to

         2

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you do Exponents first PEMDAS

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5 0
2 years ago
2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.
vaieri [72.5K]

Answer:

<u><em>Dimension of box:-</em></u>

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

                 500=x^2y

Therefore, y=\dfrac{500}{x^2}

It is open box. The surface area of box, S .

S=x^2+4xy

Put  y=\dfrac{500}{x^2}

S(x)=x^2+\dfrac{2000}{x}

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

S'(x)=2x-\dfrac{2000}{x^2}

For critical point, S'(x)=0

2x-\dfrac{2000}{x^2}=0

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x=10

Put x = 10 into y=\dfrac{500}{x^2}

y = 5

Double derivative of S(x)

S''(x)=2+\dfrac{4000}{x^3} at x = 10

S''(10) > 0

Therefore, Surface is minimum at x = 10 inches

Minimum Surface area, S = 300 in²

7 0
3 years ago
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