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3 years ago

The equation of a circle is x2 + y2 - 12y + 20 = 0

Mathematics

1 answer:

choli [55]3 years ago

8 0

Answer:

Center: (0, 6); radius = 4

Step-by-step explanation:

x^2 + y^2 - 12y + 20 = 0

We must complete the square in y.

x^2 + y^2 - 12y = -20

x^2 + y^2 - 12y + 36 = -20 + 36

x^2 + (y - 6)^2 = 16

(x - 0)^2 + (y - 6)^2 = 4^2

Center: (0, 6); radius = 4

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What is the volume in cubic centimeters of a right circular cone with radius 2 centimeters and height 9 centimeters?

andreev551 [17]

Answer:

$V = 37.7cm^3$

Step-by-step explanation:

The formula for the volume of a cone is:

$V = \frac{1}{3} \pi r^2h$

Given:

- Radius = 2cm

- Height = 9cm

Let's plug these into the equation:

$V = \frac{1}{3} \pi (2)^2(9)$

Now solve:

$V = \frac{1}{3} \pi (4)(9)\\V = \frac{1}{3}\pi 36\\V = \frac{36}{3} \pi \\V = 12\pi \\V = 37.7cm^3$

Therefore, the volume of the cone is 37.7cm^3.

<em>I hope this helps!!</em>

5 0

3 years ago

Write the number in standard form.

WINSTONCH [101]

Answer:

The number in standard form is 233.64

8 0

3 years ago

How would I figure out what L= is if V=168 yd W= 7 yd H= 3 yd?

Mariulka [41]

We can assume that the shape is a rectangular prism by the given dimensions

Volume of a rectangular prism
Volume = Area of Base × Height of prism
= Length × Width × Height of prism
Substitute!
168 = L × 7 × 3
168 = L × 21
Divide 21 on either sides to isolate L

$\frac{168}{21}$ = $\frac{L*21}{21}$
21 and 21 cancels out

8 = L
L = 8 yd

6 0

3 years ago

Help :( i came into class late

Setler [38]

Answer:

If this isnt right im sorry but i think that it is the last answer

sorry if i got it wrong please tell me

Step-by-step explanation:

4 0

4 years ago

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