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GuDViN [60]
3 years ago
13

Monica's rectangular living room is 12 ft by 15 ft. She has a square rug that covers 5/9 of the area of the floor. What is the s

ide length of the square rug? Show your work.
Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0
10 ft i think. 5/9 of 180 (which is 12 x 15) is 100 and 10 x 10 is 100
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Complete each statement from the information given and state the reasons and the triangle criterion you used
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ang RDE = ang BLU (A)

RD = BL (S)

(All the info for the relationship is given in the diagram itself)

Thus it's SAS Congruencey

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If ten babies were crying. Then the nanny got 100 more crying babies and only 53 babies were not crying how many babies were cry
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Step-by-step explanation:

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There is 1500 ft of fencing available to make 6 identical pens. Find the maximum area for EACH pen (meaning maximum of one pen).
hjlf

Answer:

The maximum area is therefore is 93750 ft²

Step-by-step explanation:

The given parameter are;

The a]length of fencing available = 1500 ft.

The perimeter of the figure = 9·x + 4·y

Therefore, 9·x + 4·y = 1500 ft.

The area of the figure = 6 × (x × y) = 3·x × 2·y

From the equation for the perimeter, we have;

9·x + 4·y = 1500

y = 1500/4 - 9/4·x = 375 - 9/4·x

y = 375 - 9/4·x

Substituting the value of y in the equation for the area gives;

Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²

Area = 2250·x - 27/2·x²

The maximum area is found by taking the derivative and equating to zero as follows;

d(2250·x - 27/2·x²)/dx = 0

2250 - 27·x = 0

x = 2250/27 = 250/3

x = 250/3

y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5

The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²

The maximum area is therefore = 93750 ft.²

4 0
3 years ago
The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder
erica [24]

Answer:

V = 150.72 cm³.

Step-by-step explanation:

First, get the volume of a cylinder.

V = πr²h

Where:

π = 3.14 (given)

r = radius (half of diameter, or 2)

h = height (12)

Knowing this, substitute the known values.

V = πr²h

V = (3.14)(2²)(12)

Square 2.

V = (3.14)(4)(12)

Multiply 3.14 and 4.

V = (12.56)(12)
Multiply 12.56 and 12.

V = 150.72.

Since it is already rounded to the nearest hundredth, that is your answer.

7 0
2 years ago
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