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grandymaker [24]
2 years ago
8

Angle DCA is 120°. What percent of the circle's area does this section represent?

Mathematics
1 answer:
dolphi86 [110]2 years ago
4 0
A circle is 360

so we're going to set up a proportion

120        x
------ = ------
360       100

then cross multiply and divide

120 times 100=12000/360=33.3333333

so the answer is C. 33

I hope I've helped!
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How many solutions are there to the system of equations?
hichkok12 [17]

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1

You can identify that:

m=0.8\\b=-1

Apply the same procedure with the second equation. Then:

-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1

You can identify that:

m=0.8\\b=1

The slopes of both lines are equal, therefore  the lines are parallel and the system has NO SOLUTION.

7 0
2 years ago
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Computing if a computer can do one calculation in 0.0000000015 second, then the function t(n) = 0.0000000015n gives the time req
Lelechka [254]

Answer:

t(5,000,000,000) = 7.5 sec

Explanation:

A computer take 0.0000000015 sec to do a calculation.

Given a function t(n) = 0.0000000015n

where n represent the number of calculation.

We need to find the total time computer to do 5 billion calculations.

We plug n = 5 billion = 5,000,000,000

Total taken time t(n) =0.0000000015n

t(5,000,000,000) = (0.0000000015)*(5,000,000,000)

t(5,000,000,000) = 1.5*5

t(5,000,000,000) = 7.5 sec

That's the final answer.

I hope it will help you.



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There are 253,440 inches in 4 miles. If you divide this quantity into the 24 inch strides she takes, you get your answer of 10,560 strides.

Hope this helps! <3

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