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LenaWriter [7]
3 years ago
15

Melvin is pushing a tire during workout with the dimensions shown how many square inches of space has a tire covered after Melvi

n pushes the tire 5 times around
Mathematics
1 answer:
valentina_108 [34]3 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I would show you how to solve it.

Solution:

A circle is the locus of a point such that its distance from a fixed point which is its center is always constant.

The tire has the shape of a circle. Therefore the distance the tire covers if it is pushed around once is the same as the circumference of the tire. The circumference is given by:

Circumference = 2πr; where r is the radius of the tire

Let us assume that the tire has a radius of 7 cm. Hence:

Circumference = 2π(7) = 44 cm

If the tire moves around 5 times, the distance covered = 5 * circumference of tire = 5 * 44 cm = 220 cm

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At what point on the curve x^2 + y^2 = 9 is the tangent line vertical?
Gemiola [76]

x² + y² = 9 is the equation of a circle with center (0, 0) and radius 3.

This puts the vertices at (-3, 0), (3, 0), (0, -3), and (0, 3).

When is the tangent line vertical? <em>when it passes through the x-axis.</em>

Answer: (-3, 0), (3, 0)

7 0
3 years ago
If 3/x=5/y then what is the value of y/x?<br> plss help
netineya [11]

Answer:

Step-by-step explanation:

3/x=5/y

3y/x=5

y/x=5/3

7 0
3 years ago
A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.
Romashka-Z-Leto [24]

Answer:

<em>The probability that it is grape juice, given that the juice is not sugar free is </em><em>0.769 or 76.9%</em>

Step-by-step explanation:

P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}

A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.

Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.

Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,

P(\text{Grape }\cap \text{ Not sugar free})=\dfrac{10}{27}

P(\text{Not sugar free})=\dfrac{10+3}{27}=\dfrac{13}{27}

Putting the values,

P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}=\dfrac{\frac{10}{27}}{\frac{13}{27}}=\dfrac{10}{13}=0.769

5 0
3 years ago
Read 2 more answers
a) find center of mass of a solid of constant density bounded below by the paraboloid z=x^2+y^2 and above by the plane z=4.(b) F
slava [35]

Answer: x-bar = y-bar = 0 whereas z-bar = 8/3

               M= (c^2)/8 which is intern equal to 2\sqrt{2}

Step-by-step explanation:

           Find the area, by setting the limits as

               = 4\cdot \int _0^{\frac{\pi }{2}}\int _0^2\int _{r^2}^4\:rdzdrd\theta

                =4\cdot \int _0^{\frac{\pi }{2}}\int _0^2r\cdot \:4-r^3drd\theta

                =4\cdot \int _0^{\frac{\pi }{2}}4d\theta

                 =8\pi

Therefore;

Mxy=  \int _0^{2\pi }\int _0^2\int _{r^2}^4\:zrdzdrd\theta

       z-bar = 8/3

M= 8\pi dividing it into two volume gives us = 4\pi

means  4\pi =\int _0^{2\pi }\int _0^{\sqrt{c}}\int _r^c\:rdzdrd\theta

             4\pi =\left(\pi c^2-2\pi \frac{c^{\frac{3}{2}}}{3}\right)

              c=2\sqrt{2}

       

                 

                 

5 0
3 years ago
The following table shows the monthly defect rate for a product at a manufacturing company.
Lapatulllka [165]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
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