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d1i1m1o1n [39]
3 years ago
11

A hamster wheel has a diameter of 8.5 in. How many inches does the hamster run in one revolution? Use 3.14 to approximate for pi

e.
Mathematics
1 answer:
Ne4ueva [31]3 years ago
8 0
The wheel turns 26.69 inches in one revolution.
Explanation:When it asks, "how many inches does the wheel turn in one revolution," it is asking for the circle's circumference. The formula for circumference is pi x diameter (3.14 x 8.5). So we would multiply 3.14 x 8.5, which we get 26.69. Therefore, the wheel turns 26.69 inches in one revolution

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Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y=x+2 and the parabol
Viktor [21]

Answer:

8 π or

25.13 unit^3 to the nearest hundredth.

Step-by-step explanation:

(A)

The height of the shell is (2 + x - x^2) and  the radius is (2 - x).

V = 2π ∫(2 - x)(x + 2 - x^2) dx  between the limits x = 0 and x = 2.

=  2π ∫ (2x + 4 - 2x^2 - x^2 - 2x + x^3) dx

 = 2π ∫ (x^3 - 3x^2 + 4 ) dx

= 2π [ x^4/4 - x^3 + 4x ]  between x = 0 and x = 2

= 2 π [4 - 8 + 8 )

= 2 π * 4

= 8π

= 25.13 unit^3 to the nearest hundredth.

4 0
3 years ago
Convert 27.0 meter per second to kilometer per hour<br><br> Note: i need this ASAP plzz
DedPeter [7]

Answer:

97.2

Step-by-step explanation:

multiply the speed value by 3.6

8 0
3 years ago
8.4.9 On or off the line &amp; Practice Problems
Andrews [41]

Answer:

Number of quarters → 15

Number of dimes → 2

Step-by-step explanation:

Let the number of dimes I have = y

And number of quarters = x

Since, I have amount in my pocket = $2

Therefore, 0.10y + 0.25x = 2

100(0.10y + 0.25x) = 100×2

25x + 10y = 200

5x + 2y = 40

2y = -5x + 40

y = -2.5x + 20 ---------(1)

Total number of coins in my pocket = 17

x + y = 17

y = -x + 17 ---------(2)  

By using a graphing calculator we can graph these two lines (As attached)

Solution of the given system of equations will be the point of intersection of these lines.

Solution → (2, 15)

Number of quarters → 15

Number of dimes → 2

4 0
3 years ago
What is 4 to the 6th power over 4 to the 8th power?
andreev551 [17]

4⁶ / 4⁸

Since the 'bases' are the same on top and bottom, you can
just subtract the bottom exponent from the top one.

4⁶ / 4⁸
= 4⁶⁻⁸
= 4⁻²
= 1/4²
= 1/16
8 0
3 years ago
Match the pairs of variables with the type of relationship they show
kumpel [21]
I believe that correlation without causation is the number of doctors

Correlation with causation is the number of high school seniors. Hope this helps!
6 0
3 years ago
Read 2 more answers
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