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2 years ago

What is the equation of the epicycloid formed by a circle with radius 6 rolling counterclockwise around a circle with radius 12

Mathematics

1 answer:

Ilya [14]2 years ago

3 0

Answer:

Step-by-step explanation:

Radius=24$;*3)5435)

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PLEASE HELP ASAP!!!!

Lapatulllka [165]

We can use x to represent the total vacation budget.
x times .19 = 285
(a percentage is really just a decimal)
x = 285/.19
x = 1500

Final Answer: the total vacation budget is $1500

4 0

3 years ago

Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte

Ymorist [56]

Answer:

Step-by-step explanation:

Write an equation for each statement:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

"She has 10 more dimes than nickels"

d = n + 10

"twice as many quarters as dimes."

q = 2d

How many coins of each kind does she have?

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

.05(d-10) + .1d + .25(2d) = 15.75

.05d - .5 + .1d + .5d = 15.75

.65d - .5 = 15.75

.65d = 15.75 + .5

.65d = 16.25

d = 16.25/.65

d = 25 dimes

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

8 0

1 year ago

Find the greatest possible error for each measurement. 10 1/8 oz

scoray [572]

Answer:

0.0005 oz

Step-by-step explanation:

Usually, the greatest number that is allowed for approximation, assuming that the number itself is obtained by approximation, is the greatest possible error of it.

It is normally half the place value of the last digit in a number.

Like here we have $10\frac{1}{8}$ oz which is equal to $10.125$ oz. The last digit is 5 which is at the thousandth place (0.001) so the greatest possible error for this would be its half.