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Murljashka [212]
3 years ago
10

It takes a wheel 200 feet to complete 12 revolutions. Find the length of an arc of the wheel to the nearest hundredth created by

a central angle of 1 radian.
Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer:

  2.65 feet

Step-by-step explanation:

Each revolution corresponds to a central angle of 2π radians, so 12 revolutions represent an arc of 24π radians. That means the arc length of 1 radian is ...

  (1 rad)(200 ft)/(24π rad) ≈ 2.65 ft

The length of the arc with a central angle of 1 rad is about 2.65 feet.

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Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls.
max2010maxim [7]
<h3>Trina uses 3.44 or \frac{ 17.2}{5} pints of white paint</h3>

<em><u>Solution:</u></em>

Given that,

Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls

3/5 of the amount is blue paint, and the rest is white paint

From given,

3/5 of 8.6 pints is blue paint

Remaining = 1 - \frac{3}{5}\\\\Remaining = \frac{2}{5}

Thus, 2/5 of 8.6 pints is white paint

<em><u>How many pints of white paint did she use to paint her bedroom walls? </u></em>

White\ paint = \frac{2}{5} \times 8.6\\\\White\ paint = \frac{17.2}{5}\\\\White\ paint = 3.44

Thus she uses 3.44 or 17.2/5 pints of white paint

5 0
3 years ago
50 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP
Tresset [83]

Answer:

<em>4a ) Difference ⇒ $ 63.24,</em>

<em>4b ) 4 children</em>

Step-by-step explanation:

4a ) If the number of children is represented by the value of x, let us substitute a family of 2 children as value of x into this equation we are given;

y = 21.08 * ( 2 ) + 85.15 ⇒ Multiply 21.08 by 2,

y = 42.16 + 85.15 ⇒ Combine like terms,

y = 127.31

If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;

y = 21.08 * ( 5 ) + 85.15 ⇒ Multiply 21.08 by 5,

y = 105.4 + 85.15 ⇒ Combine like terms,

y = 190.55

Difference; 190.55 - 127.31 = 63.24,

<em>Solution; Difference ⇒ $ 63.24</em>

4b ) If the amount is $ 169.47, let us plug it into our given equation provided amount spent on groceries ⇒ y;

169.47 = 21.08x + 85.15 ⇒ Subtract 85.15 from either side of equation,

21.08x = 84.32 ⇒ Divide either side 21.08,

x = 4 children

<em>Solution; 4 children</em>

7 0
2 years ago
Please help im almost done​
irga5000 [103]

Answer:

1/4

Step-by-step explanation:

the numerator is 12 because there are 12 possible outcomes.  The numerator is 3 because there are 3 numbers in this set that are greater than 9.  You get 3/12 which then simplifies to 1/4

8 0
3 years ago
It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth
zhuklara [117]

Answer:

It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth

Step-by-step explanation:

It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth

7 0
2 years ago
What is slope of the line on this graph
tangare [24]

to go from point to point

we go up six units and to the right 1 unit

slope = 6/1

m = 6

4 0
3 years ago
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