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sveticcg [70]
3 years ago
12

The angular velocity of a point with radius 8 feet is 10 pi radians per second. Find the speed of the point.

Mathematics
2 answers:
Monica [59]3 years ago
6 0

Answer:

80π feet/ second.

Step-by-step explanation:

Angular velocity of a point = 10π radians per second

Radius of the circle is 8 feet.

We know the formula of angular velocity is

Angular velocity = \frac{speed}{radius}

10π = \frac{speed}{8}

Speed = 80π feet/ second.

Option C is the answer.

____ [38]3 years ago
6 0

Answer: 80\pi\text{ ft/sec}

Step-by-step explanation:

Formula : \text{Speed= Angular velocity x Radius}   (1)

We are given that , The angular velocity of a point with radius 8 feet is 10 pi radians per second.

i.e. Radius = 8 feet

Angular velocity = 10\pi radians per second.

Then, the speed of the point will be :-

\text{Speed= }10\pi \times 8   [using (1)]

=80\pi\text{ ft/sec}

Hence, the speed of the point =80\pi\text{ ft/sec}

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The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to
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Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

Given equation: 4x^2 -24x + 4y^2 + 72y = 76

First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒4(x^2-6x) +4(y+18y) = 76

or

4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76

4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76

4(x-3)^2 + 4(y+9)^2 - 360 =76

Add 360 on both sides we get;

4(x-3)^2 + 4(y+9)^2 =360 +76

Simplify:

4(x-3)^2 + 4(y+9)^2 =436

Therefore, the given equation is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

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3 years ago
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Answer:

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2.74 + 3.5 = 6.24

Answer

6.24

------------

- 1.5 - (-7.7)

= - 1.5 + 7.7

= 6.2

Answer

6.2

6 0
4 years ago
Read 2 more answers
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