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2 years ago

Find the measure of the red arc or chord in ⊙C. The measure of arc XYZ is a °

Mathematics

1 answer:

Igoryamba2 years ago

3 0

The points on the red arc are points A and B

The measure of the red arc is 75 degrees

<h3>How to determine the measure of arc XYZ?</h3>

From the complete question, we have:

Angle DCE = 75 degrees

By vertical angles theorem,

Angle ACB = Angle DCE = 75 degrees

So, we have:

Angle ACB = 75 degrees

The measure of the red arc is the same as the measure of the angle ACB.

So, we have:

Red arc = 75 degrees

Hence, the measure of the red arc is 75 degrees

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Answer:

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Step-by-step explanation:

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Volume of sphere = $\frac{4}{3}$ × π × 9

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In this exercise, consider a particle moving on a circular path of radius b described by r(t) = b cos(ωt)i + b sin(ωt)j, where ω

Bingel [31]

Answer:

Acceleration of the particle = $bw^{2}$

Step-by-step explanation:

We are given the position vector of a particle moving in a circle of radius b units.

r(t) = b cos(ωt)i + b sin(ωt)j

Velocity , v = $\frac{dr}{dt}$ = -bω sin(ωt)i + bω cos(ωt)j

The magnitude of velocity, v = $\sqrt{v_x^{2} +v_y^{2} }$

Squaring both sides,

$v^{2} = b^{2} w^{2}(sin^{2}(wt)+cos^{2}(wt))$

Since $sin^{2}(wt)+cos^{2}(wt))$ = 1

$v^{2} = b^{2}w^{2}$

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a = $\frac{b^{2}w^{2}}{b}$

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2 years ago

A store is offering 15% off al shoes. Ayla purchases shoes and clothes

nika2105 [10]

Answer:

the shoes will automatically get the discount

Step-by-step explanation:

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3 years ago

A single number is chosen from the digits 1 through 30. Find the probability that the number is an even number or a number divis

ladessa [460]

Answer:

There is a 66.67% probability that the number is an even number or a number divisible by 3.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

These are the following even numbers from 1 through 30: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30

There are 15 even numbers.

These are the following numbers divisible by 3 from 1 through 30:

3,6,9,12,15,18,21,24,27,30

We only count the odd numbers here, since we have already counted the even ones.

There are 5 odd numbers divisible by 3.

So there are 20 numbers that are even numbers or divisible by 3. So there are 20 desired outcomes.

Total outcomes:

There are 30 numbers from 1 through 30. So the number of total outcomes is 30.

Find the probability that the number is an even number or a number divisible by 3.

$P = \frac{2}{3} = 0.6667$

There is a 66.67% probability that the number is an even number or a number divisible by 3.

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2 years ago