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Dima020 [189]
3 years ago
6

15. What is the area of the circle whose equation is (X - 9)2 + (y - 3)2 = 64?

Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0

Answer:

64π

General Formulas and Concepts:

<u>Geometry</u>

Area of a Circle Formula: A = πr²

  • <em>r</em> is radius

<u>Pre-Calculus</u>

Center-Radius Form: (x - h)² + (y - k)² = r²

  • (h, k) is center
  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(x - 9)² + (y - 3)² = 64

↓ Compare to Center-Radius Form

Center (9, 3)

Radius² = 64

<u>Step 2: Find Area</u>

  1. Substitute in variables [Area of a Circle Formula]:                                         A = π(64)
  2. Multiply:                                                                                                             A = 64π
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Answer:

188π in^2

Step-by-step explanation:

Surface area of the rocket = surface area of the cone + surface area of the cylinder

Surface area of a cone = πr(r+h^2+r^2)

r = 8/2 = 4 in

4π( 4 + 3^2 + 4^2) =

4π ( 4 + 9 + 16) = 116π in^2

Surface area of a cylinder = 2πrh+2πr^2

(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2

116 + 72 = 188π in^2

4 0
3 years ago
A tea infuser in the shape of a right rectangular pyramid is 7.9 cm tall and has a base 3 cm long and 1.5 cm wide. To make the b
kaheart [24]

Answer:

  • 28.44 cm³

Step-by-step explanation:

<u>Full volume is:</u>

  • V = lwh
  • V = 3*1.5*7.9 = 35.55 cm³

<u>Volume of tea required:</u>

  • 35.55*80/100 = 28.44 cm³
4 0
3 years ago
HIJK is a rectangle. Find the value of x and find the length of each diagonals. If hj=19+2x and ik=3x+22
viva [34]
Hj  and ik are  opposite sides of the rectangle so they areequal in length.

19 + 2x = 3x + 22
19-22 = 3x-2x
x = -3 

We can't find the length of the diagonals as we have no information about the width.
8 0
3 years ago
Lisa's test grades are 79, 89 and 90
Vaselesa [24]

Answer:

<u>94</u>

Step-by-step explanation:

Equating the mean to the scores :

  • 88 = 79 + 89 + 90 + x / 4
  • 352 = 258 + x
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6 0
2 years ago
Read 2 more answers
Point A bisects LS BC. If LS BA=6x-3 and LS AC= 3x+7. Solve for X. PLS ANSWER QUICKLY!!!
denis23 [38]

Based on the bisection of line BC by point A, the value of x is 10/3

<h3>How to determine the value of x?</h3>

The given parameters are:

  • Point A bisects BC
  • BA = 6x - 3
  • AC= 3x + 7

Because the point A bisects BC, then

BA = AC

Substitute the known values in the above equation

So, we have

6x - 3 = 3x + 7

Collect the like terms

6x - 3x = 3 + 7

Evaluate the like terms

3x = 10

Divide both sides of the equation by 3

x = 10/3

Hence, based on the bisection of line BC by point A, the value of x is 10/3

Read more about bisectors at:

brainly.com/question/6725549

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8 0
1 year ago
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