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3 years ago

11

A hamster is running on a wheel. The diameter of the wheel is 6 inches. The hamster makes the wheel turn 10 times. How far did t

he hamster run?

1 answer:

Ket [755]3 years ago

6 0

Answer:

60 in or 5 FT

Step-by-step explanation:

6 x 10 = 60 in

:D

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I am Lyosha [343]

Central angle = 360 / 24 = 15 degrees

ARc length = r * theta, where theta is the angle in radians and r = radius
= 15 * 15 * pi/180
= 3.93 feet to nearest hundredth.

Area of sector = area of circle / 24 = pi*15^2 / 24 = 29.45 ft^2

6 0

3 years ago

Convert 22 to a numeral in base 2.

musickatia [10]

The answer is 10110

===============================================

Explanation:

Divide 22 over 2. Use long division to find the quotient and remainder
22/2 = 11 remainder 0 <<--- this remainder will be used later. Call it A, so A = 0

Now repeat for the value 11, which was the quotient above
11/2 = 5 remainder 1 <<--- this remainder will be used later. Call it B, so B = 1

Repeat again for the quotient we just got
5/2 = 2 remainder 1 <<--- this remainder will be used later. Call it C, so C = 1

Repeat again
2/2 = 1 remainder 0 <<--- this remainder will be used later. Call it D, so D = 0

Repeat again
1/2 = 0 remainder 1 <<--- this remainder will be used later. Call it E, so E = 1

The last quotient above is 0, so we stop here. If we tried to keep going, then we'd get nothing but 0 remainders forever.

The remainders we got above were:
A = 0
B = 1
C = 1
D = 0
E = 1

The idea is to read the remainders in reverse order in which we found. So we start with E and work back to A
E = 1
D = 0
C = 1
B = 1
A = 0

So 22 base 10 = 10110 base 2

5 0

3 years ago

Read 2 more answers

a bag contains a-r-I-t-h-m-e-t-I-c. Amelia chooses a tile without looking and doesn’t replace it. She chooses a second tile with

olga nikolaevna [1]

<span>The first time she chooses, her chances are 2/10 that she will get an I tile. With not replacing the tile, her second chance will be 1/9. Multiply the two fractions together gives 2/90 = 1/45
(^>^)</span>

5 0

3 years ago

Read 2 more answers

if you were to solve the following system by substitution what would be the best variable to solve and from what equation? 2x+8y

Nina [5.8K]

All the numbers in the first equation have a common factor of 2. Removing that gives
.. x +4y = 6
making it easy to solve for x
.. x = 6 -4y

My choice would be to solve for x using the first equation.

_____
On second thought, it might actually be easier to solve either equation for 8y. That term then directly substitutes into the other equation (equivalent to adding the two equations).
.. 8y = 3x -11 . . . . . from the second equation
.. 2x +(3x -11) = 12 . . . substituting into the first equation
.. 5x = 23 . . . . . . . . . . collect terms, add 11 (what you would get by adding the equations in the first place)
.. x = 4.6
.. y = (3*4.6 -11)/8 = 0.35

4 0

3 years ago

A, B and C are points on a circle with a diameter AB

Tamiku [17]

Answer:

36.575

Step-by-step explanation:

you need to find line ab you can do $A^{2} +B^{2} =C^{2}$ for the triangle and get the line you also need to get the squar root of it as it is still squared then devide by 2 to get the rades then times that by pi and there you go you have the area also sorry for spelling I love math not English

3 0

2 years ago