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seraphim [82]
3 years ago
12

A rectangle has a perimeter of 23 cm. Its area is 33 cm2. Determine the

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

length = 6 cm; width = 5.5 cm

Step-by-step explanation:

Let the length = x. Let the width = y.

We use the formulas for area and perimeter using x and y, and the given values.

area = length * width

perimeter = 2(length + width)

xy = 33

2(x + y) = 23

Solve the first equation for x:

x = 33/y

Substitute 33/y for x in the second equation.

2(33/y + y) = 23

66/y + 2y = 23

Mulrtiply both sides by y.

66 + 2y^2 = 23y

2y^2 - 23y + 66 = 0

(2y - 11)(y - 6) = 0

2y - 11 = 0   or   y - 6 = 0

y = 11/2 = 5.5   or   y = 6

xy = 33

x * 11/2 = 33

x = 33 * 2/11

x = 6

Answer: length = 6 cm; width = 5.5 cm

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Answer:

22-3d=x

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2 years ago
Calculate the amount of hcn that gives the lethal dose in a small laboratory room measuring 12.0 ft×15.0 ft×8.50ft.
Anarel [89]
Dimensions of the room in cm = 2.54 x 12 by 15 x 2.54 by 2.54 x 8.5 = 30.48 by 38.1 by 21.59

Volume of the room in cubic cm = 30.48 x 38.1 x 21.59 cubic cm = 25,072.21 cubic cm

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7 0
3 years ago
(x-2)^3+13=-112<br> <img src="https://tex.z-dn.net/?f=%28x-2%29%5E3%2B13%3D-112" id="TexFormula1" title="(x-2)^3+13=-112" alt="(
yKpoI14uk [10]

Answer:

x = -3

Step-by-step explanation:

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7 0
3 years ago
All of the following ratio are equivalent to the ratio 5/8 EXCEPT
hammer [34]
The best answer here would be choice B
4 0
3 years ago
Hello there I need help.
andriy [413]

Answer:

A. 40

Step-by-step explanation:

Q1 - 40

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So 40 is the correct answer.

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3 years ago
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