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3 years ago

I NEED HELP WITH A QUICK QUESTION! 30 POINTS!

Mathematics

1 answer:

Artyom0805 [142]3 years ago

6 0

Answer:

The center is (2 ,-3)

The radius is 3

The diameter is twice the radius = 2(3) = 6

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 =r^2

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

(x - 2)² + (y+3)² = 9

(x - 2)² + (y- -3)² = 3^2

The center is (2 ,-3)

The radius is 3

The diameter is twice the radius = 2(3) = 6

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Mrs. Chan buys a new car for $21,000. She pays a sales tax of $0.06 for every $1. She pays a property tax of $16.80 on every $1,

lianna [129]

Answer:

$1612.80

Step-by-step explanation:

Sales Tax would be 0.06 * 21,000 = $1260

Property Tax:

16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.

So the property tax would be 16.80 * 21 = $352.80

Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80

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3 years ago

A rectangle has a width of 5 meters and a length of 7 meters. A similar rectangle has a width of 15 meters. What is the length o

JulijaS [17]

I believe 21 because 5×3 is 15 so 7×3=21

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3 years ago

Read 2 more answers

A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel

frutty [35]

Answer:

The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet

Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

c = The phase shift = 90°

d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

b·x = 45°, therefore;

h = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

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3 years ago

What is the volume, in cubic inches, of a cone that has a radius of 8 inches and a height of 12 inches? Use 3.14 for π , and rou

Doss [256]

Answer:

803.84 in^3

Step-by-step explanation:

First of all we have to find the base area

base area = radius^2 x 3.14 = 8^2 x 3.14 = 64 x 3.14 = 200,96 in^2

the volume can be find with this formula:

V = (base area x height)/3

V = (200.96 x 12)/3 = 803.84 in^3

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3 years ago

14w – 2(1 – w) = 2(5w - 1)

joja [24]

Answer:

w = 10

Step-by-step explanation:

Solving steps are shown in above pic. (source: Photomath)

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3 years ago