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topjm [15]
2 years ago
14

The tip of a windshield wiper travels a distance of 31 inches in one 90 revolution. What is the

Mathematics
1 answer:
Allushta [10]2 years ago
3 0

Answer:

Option F, 10 inches.

Step-by-step explanation:

For a circle of radius R, the perimeter is:

P = 2*pi*R

such that pi = 3.14

If we have a section of that circle defined by an angle θ, the length of the arc is:

A = (θ/360°)*P =  (θ/360°)* 2*pi*R

In this case, we have a circle whose radius is defined by the length of the windshield wiper.

We also know that in one 90° revolution (so it travels the length of the arc of 90° two times) the tip travels a distance of 31 in.

Then:

A = 2*[(90°/360°)*2*3.14*R] = 31in

We need to solve this for R.

R = 31in/( 2*(90°/360°)*2*3.14) = 9.8in

We can round this to the next whole number:

R = 10in

The correct option is F.

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Amanda is a cabinetmaker. She makes cabinets using one of three types of wood: birch, maple, or cherry. She can finish each type
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Assume that each material in each category has an equal chance of being selected.

Categories:
(a) Type of wood used to make the cabinet: birch, maple, cherry.
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(c) Knob: bronze, steel, wood.
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Therefore
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6 0
3 years ago
Akiba Ellis deposits the following in her checking account: 6 five-dollar bills, 5 two dollar bills, 12 one dollar bills, 9 half
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Answer:

$106.08

Step-by-step explanation:

Given:

6x $5.00

5x $2.00

12x $1.00

9x= 0.50

6x25 cent

42x10 cent

10x5 cent

15=15cent

$97.23

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

6 five dollar bill is $30.00

so 5 two dollar bill is $10.00

12 one dollar bills is $12.00

9 half dollar bill mean 0.50 cent since it Half and that would make $4.50

6 quarter so 6x25 which equal $1.50

42 dimes and dimes =10 cent so 42x10 which equal $4.20

10 nickels and nickels = 5 cent so 10x5=0.50

15=15 pennies

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

30.00+10.00+12.00+4.50+1.50+4.20+0.50+0.15+97.23 =

$106.08 Total Deposit

5 0
2 years ago
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