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2 years ago

Circle A has an area of 25pi square units. Circle B has a radius that is 20% larger than Circle A. What is the area of Circle B?

Mathematics

1 answer:

SVEN [57.7K]2 years ago

3 0

Answer:

Circle B area = 49π square units

Step-by-step explanation:

Circle A radius =√25 = 5 units

(1.2)(5) = 7 = radius circle B

Circle B area = 7²π = 49π square units

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R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.

ELEN [110]

Answer:

$\sf (x+2)^2+(y-2)^2=2$

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

$\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)$

$\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)$

$\sf =(-2, 2)$

Equation of a circle: $\sf (x-h)^2+(y-k)^2=r^2$

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

$\sf \implies (x-(-2))^2+(y-2)^2=r^2$

$\sf \implies (x+2)^2+(y-2)^2=r^2$

To find $\sf r^2$ , simply substitute one of the points into the equation and solve:

$\sf \implies (-3+2)^2+(1-2)^2=r^2$

$\sf \implies 1+1=r^2$

$\sf \implies r^2=2$

Therefore, the equation of the circle is:

$\sf (x+2)^2+(y-2)^2=2$

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2 years ago

The front wall of the storage shed is in the shape of a trapezoid.

KonstantinChe [14]

Answer:

66 square feet

Step-by-step explanation:

please review the attachment for a detailed explanation

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3 years ago

Find the equation of the exponential function represented by the table below

Gennadij [26K]

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation has the form y = 3^x.

Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:

y = 3^(1 + x)

Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)

If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)

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2 years ago

List of 412 multiples of seven

Arlecino [84]

7,14,21,28,35,42,49,56,63,70,77,84

8 0

3 years ago

Read 2 more answers

Can anyone help ? :(

V125BC [204]

Answer: B 65 and C 275

Step-by-step explanation:

Just divide by 3 then multiply by 5

7 0

3 years ago