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nevsk [136]
3 years ago
5

Find a formula for the described function. A rectangle has area 49 m2. Express the perimeter of the rectangle as a function of t

he length L of one of its sides. P(L) = ___State the domain of P. (Assume the length of the rectangle is larger than its width. Enter your answer using interval notation.)
Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

P(L)=2L+98m^2/L

Step-by-step explanation:

The area (A) of a rectangle is equal to the length (L) of one of its sides times its width (w)

A=L*w (eq. 1)

And its perimeter can be calculated with the next formula:

P=2(L+w) (eq. 2)

Solving for <em>w </em>in eq. 1, and plugging it into eq. 2

w=A/L (eq. 3)

P=2(L+A/L)=2L+2A/L (eq. 4)

We know that A=49m^2, plugging in this value into eq. 4, we finally get into the answer:

P=2L+98m^2/L

If the length of the rectangle is larger than its width:

L>w\\L>A/L\\L^2>\sqrt{A} \\|L|>\sqrt{A}

|L|>7

L7

We know that a length can't be negative value, so the only valid interval is L>7. The domine of P is then:

L>7

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Answer:

radius is 3.38cm

Step-by-step explanation:

Note: the volume of a cone is given as

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Step one:

Given Information

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Required

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Step two:

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2 years ago
If 50 bicycles cost $100.50, then how many bicycles could you get for $45?
8_murik_8 [283]
Answer


22 WHOLE bicycles


Step by step explanation

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5 0
2 years ago
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The volume of a cone =13πr2h
xz_007 [3.2K]

Answer:

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Step-by-step explanation:

Given:

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Height of cone = 16 cm

Find:

Volume of cone

Computation:

Volume of cone = [1/3][π][r²][h]

Volume of cone = [1/3][3.14][5²][16]

Volume of cone = [1/3][3.14][25][16]

Volume of cone = [1/3][3.14][400]

Volume of cone = [1/3][1,256]

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Step-by-step explanation:

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Step-by-step explanation:

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