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Iteru [2.4K]
3 years ago
6

If a circle is cut from a square piece of fabric, how much fabric would be leftover? Use 3.14 for pi. (round to nearest hundredt

h).
Mathematics
2 answers:
Marta_Voda [28]3 years ago
8 0

Answer:

0.22 square units

Step-by-step explanation:

Area of the left over fabric = Area of the square piece - Area of the circle

let the side length of the square piece be 1 unit

Area of the square piece = 1 * 1

Area of the square piece = 1 square units

Area of the circle = πd²/4

d is the diameter of the circle = 1 unit (equivalent to the side length of the square)

Area of the circle = π(1)²/4

Area of the circle = 3.14/4

Area of the circle = 0.785square units

Area of the left over fabric = 1- 0785

Area of the left over fabric = 0.215 square units

Hence the amount of fabric that would be leftover is 0.22 square units

irina1246 [14]3 years ago
6 0

Answer:

0.22 square units

Step-by-step explanation:

Hope this helps

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What initial investment must be made to accumulate $60000 in 17 years if the money is invested in a mutual fund that pays 12% an
mars1129 [50]

$7881.18

Step-by-step explanation:

   Let the initial Investment be P_{0}. The Interest is compounded on a monthly basis at 12% annual interest rate. After 17 years, the Investment amounts to $60,000.

   As the annual interest rate is 12%, the monthly interest rate is 1%.

Since this is a compound interest problem, the total amount can be modeled as follows: P(t)=P_{0}(1+\frac{i}{100})^{t}

Here i is the interest rate, i.e 1, and t is the number of time periods, i.e 17\textrm{ years x }12\frac{\textrm{months}}{\textrm{year}}= 204\textrm{ months}

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P_{0}=7881.18

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3 years ago
Below is a scale drawing of a stage that Syla is designing. A rectangle with length 8 centimeters and width 5 centimeters. Using
serious [3.7K]

Answer:

<h3>50m</h3>

Step-by-step explanation:

Given the dimension

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Width = 5cm

Note that when the scale was 1:7, syla multiplied the width by a factor of 7 i.e 5*7 = 35m

If syla changes the the scale to 1 cm : 10 m for the rectangle, then the width of the shorter side will be multiplied by a factor of 10 due to the change in scale i.e;

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Mia has 12 marbles, alex has 9 marbles, and micheal has 51 marbles. use the gcf and the distributive property to find the total
aleksley [76]

Answer: 5508

Step-by-step explanation:

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Follow steps...
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Answer:

(7 , -3)

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