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Advocard [28]
3 years ago
12

What is the arc length when Θ = 2 pi over 3 and the radius is 8 cm?

Mathematics
2 answers:
vivado [14]3 years ago
7 0
\phi=\dfrac{2\pi}{3}\\
r=8 \text{ cm}\\
l=r\cdot\phi\\\\
l=8\cdot\dfrac{2\pi}{3}\\
l=\dfrac{16\pi}{3}\text{ cm}

user100 [1]3 years ago
7 0

Answer:

Arc length = Arc length = \frac{16\ pi}{3} = 16 .74 cm

Step-by-step explanation:

Given  :  when Θ = 2 pi over 3 and the radius is 8 cm.

To find  : What is the arc length .

Solution : WE have given that Θ = \frac{2\ pi}{3}

Radius = 8 cm .

Arc length =radius *  angle

Arc length = 8 *  \frac{2\ pi}{3}.

Arc length =  \frac{16\ pi}{3}.

Therefore, Arc length = \frac{16\ pi}{3} = 16 .74 cm

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Write an equation in slope-intercept form for the line that is parallel to y=−4x−3 and that passes through the point (−2,4).
kirill115 [55]

Answer:

The Correct option is Last one y=-4x-4

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line y=-4x-3 is y=-4x-4

Step-by-step explanation:

Given:

y=-4x-3

To Find:

Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3

Solution:

y=-4x-3 ..........Given

Comparing with Slope-Intercept form,  

y=mx+c

Where m =slope  

We get

Slope = m = -4

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the points and so we will get the required equation of the line,

(y-4))=-4(x-(-2))=-4x-8\\\\y=-4x-8+4=-4x-4\\\\y=-4x-4......Equation\ of\ line

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line y=-4x-3 is y=-4x-4

8 0
3 years ago
10 ounces is what fraction of a pound?
kicyunya [14]
There are 16 oz. in a pound.
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7 0
3 years ago
I need help <br> Please help ASAP
soldi70 [24.7K]

Answer:

The volume of the solid is  1,021m^3

Step-by-step explanation:

1. Cylinder

For find the volume of a cylinder we use the next formula:

V_{cylinder} = \pi h r^2 = \pi \cdot 9m\cdot (5m)^2 \approx 706.86m^3

Then the volume of the cylinder is equal to 706.86m^3

2. Cones

For find the volume of a cone we use the next formula:

V_{cone} = \pi \frac{h}{3} r^2 = \pi \cdot \frac{6m}{3} \cdot (5m)^2 \approx 157.08m^3

However there are two cones so we have to multiply the volume of one cone for two and we get the total volume for the cones which is 314.16m^3

3. Sum of the volumes

Finally we sum the volumes of the cylinder and the cones for get the final result

V_{cylinder} + V_{cones} = 706.86m^3 + 314.16m^3 \approx 1021m^3

So approximating the result is 1021m^3

5 0
2 years ago
And hey if you know that 20/100 is 13, then how do you find the amount of 80/100?
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7 0
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Answer:

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