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2 years ago

Find the circumference and area of a circlewith a radius of 5 feet.

Mathematics

1 answer:

iVinArrow [24]2 years ago

4 0

Circumference = 2(pi)r

Area = (pi)r^2

r = 5

5 * 2 = 10

Circumference = 10π

5 * 5 = 25

Area = 25π

Using 3.14 as pi substitute:

5 * 3.14 = 15.7

15.7 * 2 = 31.4

Circumference = 31.4

5 * 5 = 25

25 * 3.14 = 78.5

Area = 78.5

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The coordinates of three vertices of square ABCD are A(−212,112),B(−212,−3), and C(2,112).

Lady_Fox [76]

Answer:

P=760

Step-by-step explanation:

Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.

Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).

This shape has sides that are parallel to both axes.

To calculate the perimeter we find the length of two sides.

The distance from A to B is the difference between their y-axis:

w=112-(-3)=115

The distance from A to C is the difference between their x-axis:

l=2-(-212)=215

It's evident this is not a square but a rectangle. The perimeter is

P=2w+2l=330+430

P=760

7 0

2 years ago

Bryan initially filled a measuring cup with 3/10 of a cup of syrup from a large jug. Then he poured 1/10 of a cup back into the

wariber [46]

2/10. 3-1/10 = 2/10.

7 0

2 years ago

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PolarNik [594]

Answer:

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Step-by-step explanation:

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2 years ago

A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as s

Pepsi [2]

Answer:

$3\sqrt{3} + 72$

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

$9 \times 8 = 72ft^{2}$

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

$\frac{9}{S} = \frac{S}{T}[\tex]But[tex]\frac{9}{S} = \frac{S}{3}[\tex]Multiplying through by 3S we have27 = S² and this gives:[tex]S = \sqrt{27} = 3\sqrt{3}$