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2 years ago

Write the equation of the circle that has its center at (4, 5) and a radius of 3.

Mathematics

1 answer:

alexdok [17]2 years ago

5 0

Answer:

$(x-4)^{2} +(y-5)^{2} =9$

Step-by-step explanation:

The equation for a circle is $(x-h)^{2} +(y-k)^{2} =r^{2}$

(h, k) is the center

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What is the probability of obtaining three heads while flipping a coin

Elina [12.6K]

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2 years ago

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WINSTONCH [101]

Answer:

Step-by-step explanation:

Lets find out first the Area of the rectangle building

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3 years ago

Read 2 more answers

The length of a rectangle is 4 less than three times it’s width. The perimeter is 72 feet. Find the dimensions of a rectangle

ratelena [41]

Answer:

Step-by-step explanation:

so let’s say x is the length. Then the width will be 3x-4. You add them together and multiply by two. The perimeter is 72 so the equation equala 72.

Equation:

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(4x-4)*2=72

8x-8=72

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3 years ago

michele is 52 inches tall. her father is 6 feet and 3 inches tall. exactly how many inches taller is michele

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Answer:

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2 years ago

For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va

Black_prince [1.1K]

Answer:

3 solutions:

$\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}$

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is $tan(\frac{\theta}{2})$ so let's focus on that part of the equation first.

We know that:

$tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}$

therefore:

$cos(\frac{\theta}{2})\neq0$

so we need to find the angles that will make the cos function equal to zero. So we get:

$cos(\frac{\theta}{2})=0$

$\frac{\theta}{2}=cos^{-1}(0)$

$\frac{\theta}{2}=\frac{\pi}{2}+\pi n$

$\theta=\pi+2\pi n$

we can now start plugging values in for n:

$\theta=\pi+2\pi (0)=\pi$

if we plugged any value greater than 0, we would end up with an angle that is greater than $2\pi$ so, that's the only angle we cannot include in our answer set, so: