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gavmur [86]
3 years ago
14

A homeowner wants to include a semicircular patio at the end of a square sandbox. She knows that the area of the semicircular pa

tio is 25.12 cm. What is the length of the side of the square?
Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

8cm

Step-by-step explanation:

First you must know that the diameter of the semi-circular patio is equal to the length of one side of the square

Area of a semi circle = πr²/2

25.12  = πr²

25.12 = 3.14r²/2

r² = 25.12(2)/3.14

r² = 16

r = √16

r = 4

Get the diameter

d = 2r

d =2(4)

d = 8cm

Hence the length of the side of the square is 8cm

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The local sales tax is 8% if a pair of shoes sells for $140 what is the cost after tax
lbvjy [14]

Answer:

$151.2

Step-by-step explanation:

To find the price after the tax is implemented,

set a relationship x/140=8/100 (8/100) basically means 8%.

cross multiply (140)(8)=1120. Then divide it by 100x, you get $11.2.

But that's just 8 percent of the total amount. So you need to add onto the original price, 140+11.2=$151.2.

8 0
3 years ago
Please help with this math question guys! Thank you!
mestny [16]

Answer:

i got B

Step-by-step explanation:

bc the second one is negative 2 anf the first pair are all positive.

4 0
3 years ago
Write an inequality to fit the given inequality the line pass through (0,1) and (1,3)​
borishaifa [10]

Answer: Y< 2/1x +1

Step-by-step explanation: (Slash mark means a fraction)

3 0
3 years ago
seorang tukang kayu akan memotong tripleks berukuran 3,5 meter x 3,5 meter. tentukan luas dan keliling tripleks tersebut​
g100num [7]

Answer:

Part 1) A=12.25\ m^2

Part 2) P=14\ m

Step-by-step explanation:

<u><em>The question in English is</em></u>

A carpenter will cut plywood measuring 3.5 meters x 3.5 meters. Determine the area and perimeter of the plywood.

Part 1) Determine the area

we know that

The area of a square is given by the formula

A=b^2

where

b is the length side

we have

b=3.5\ m

substitute

A=3.5^2=12.25\ m^2

Part 2) Determine the perimeter

we know that

The perimeter of a square is given by the formula

P=4b

where

b is the length side

we have

b=3.5\ m

substitute

P=4(3.5)=14\ m

8 0
3 years ago
A swimming pool is being filled at the rate of 54 pt/min (pints per minute). How many quarts per hour is this?
Rainbow [258]

Answer:

Approximately 1620\; \text{quart} / \text{hour}.

Step-by-step explanation:

The given quantity was in the unit \displaystyle \frac{\text{pint}}{\text{minute}} while the required quantity should have the unit \displaystyle \frac{\text{quart}}{\text{hour}}. It would thus be necessary to use conversion factors of the following forms:

\begin{aligned}\frac{\text{pint}}{\text{minute}} \times \underbrace{\frac{\text{minute}}{\text{hour}} \times \frac{\text{quart}}{\text{pint}}}_{\text{conversion factors}} &= \frac{\text{quart}}{\text{hour}}  \end{aligned}.

Make use of the fact that:

  • 1\; \text{pint} = 0.5\; \text{quart}, and
  • 60\; \text{minute} = 1\; \text{hour}.

Rearrange the equation 1\; \text{pint} = 0.5\; \text{quart} to obtain the conversion factor:

\begin{aligned} 1 &= \frac{0.5\; \text{quart}}{1\; \text{pint}}\end{aligned}.

Similarly, rearrange the equation 60\; \text{minute} = 1\; \text{hour} to obtain the conversion factor:

\begin{aligned} 1 &= \frac{1\; \text{hour}}{60\; \text{minute}}\end{aligned}.

Combine both conversion factors and evaluate:

\begin{aligned} & 54\; \frac{\text{pint}}{\text{minute}} \\ =\; & 54\; \frac{\text{pint}}{\text{minute}} \times \frac{0.5\; \text{quart}}{1\; \text{pint}} \times \frac{60\; \text{minute}}{1\; \text{hour}} \\ =\; & (54 \times 0.5 \times 60) \; \frac{\text{pint} \times \text{quart} \times \text{minute}}{\text{minute} \times \text{pint} \times \text{hour}} \\=\; & 1620\; \frac{\text{quart}}{\text{hour}}\end{aligned}.

5 0
2 years ago
Read 2 more answers
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