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mihalych1998 [28]
2 years ago
8

Given that the center of a circle is C(-10,-7) and the point S(4,4) lies on the circle's edge calculate the circle's radius to t

wo decimal places
Mathematics
1 answer:
fredd [130]2 years ago
8 0

Answer:

r\approx 17.80

Step-by-step explanation:

<u>Equation of the Circle</u>

A circle can be completely defined knowing its center and radius. The radius is the distance from the center to any point in its edge. Since we know the center of the circle is (-10,-7) and one point in its edge is (4,4), we calculate the distance between those points:

r=\sqrt{(4-(-10))^2+(4-(-7))^2}

r=\sqrt{14^2+11^2}

r=\sqrt{196+121}=\sqrt{317}

\boxed{r\approx 17.80}

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Which equation represents a direct variation?
8090 [49]

Answer:

Y = x y = kx. When the equation that describes direct variance is graphed in the Cartesian Plane, there is always a straight line moving through the origin. Think of it as the Slope-Intercept Shape of a line written as y = mx + b y = mx + b.

Step-by-step explanation:

4 0
2 years ago
If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?
Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

A = P(1 + \frac{r}{n})^{nt} to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

nt = 4 \times 30 = 120

r/n =  0.065/4 = .01625

1 + r/n = 1.01625

(1 + r/n)^{nt} = 1.01625^{120}

Therefore

A = 25000 \times 1.0625^{120} = 172,984.44


4 0
2 years ago
Select all that are true
sertanlavr [38]
A=-1, b=2 I hope this helped. Please please please if you like my answer mark Brainly:)
3 0
1 year ago
OK Google let me tell you my question three friends are baking cupcakes for a bake sale each batch of 24 cupcakes requires 2 cup
Zigmanuir [339]

btw my name is not Google, but I'll post anyhow.


if all three friends only have 5lbs of flour only and therefore only 19 cups of flour, well, each batch takes up 2 cups of flour and they only have 19 cups, 19/2 gives us 9 with a remainder of 1.


so 9 whole batches.

4 0
3 years ago
Consider the relationship chart for the a fast-food restaurant,
boyakko [2]

The layout of the fast-food restaurant of dimensions 6 by 8 5 feet squares is presented in the attached table created with Sheets.

<h3>How can the required layout be found?</h3>

The dimensions of the facility are;

Horizontal = 6 squares

Vertical = 8 squares

The side length of each square = 5 feet

Therefore;

Area of each square = 5² ft.² = 25 ft.²

Number of squares, <em>n</em>, required by each dependent are therefore;

CB department, <em>n </em>= 300 ÷ 25 = 12 squares

CF department, <em>n</em> = 200 ÷ 25 = 8 squares

PS department, <em>n </em>= 8 squares

DD department, <em>n</em> = 8 squares

CS department, <em>n</em> = 12 squares

A layout for the fast-food restaurant is therefore;

  • The first three vertical columns of 8 squares each are occupied by the CF, PS, and DD departments. The remaining 3 by 8 squares are occupied by the CB department, (3 by 4 squares), and the CS department, (3 by 4 squares)

Please see the attached table layout created using Sheets.

Learn more about finding the area of regular figures here:

brainly.com/question/316492

#SPJ1

8 0
1 year ago
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