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Brums [2.3K]
1 year ago
8

Find the probability that a randomly

Mathematics
1 answer:
Alina [70]1 year ago
6 0

Answer:

31.8\%

Step-by-step explanation:

The area of the circle is A=\pi r^2=\pi(4)^2=16\pi

The area of the triangle is A=\frac{bh}{2}=\frac{8*4}{2}=\frac{32}{2}=16

Hence, the probability of a randomly selected point within the circle falls in the red shaded area is \frac{16}{16\pi}=\frac{1}{\pi}\approx0.318\approx31.8\%

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Isolate x in 4x+4y=12
e-lub [12.9K]
4x+4y=12
(-4y) (-4y)
4x= 12-4y
Divide 4
12-4y/4= x
I really hope it makes sense
6 0
3 years ago
What is the distance between points (-5, 5) and (2, 3)
scZoUnD [109]

the answer is (7,2). your welcome

4 0
3 years ago
Express $0.\overline{5}$ as a common fraction in lowest terms.
andreyandreev [35.5K]
<h3>Answer:  5/9</h3>

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

Explanation:

0.\overline{5} means that the 5's go on forever because of that horizontal bar over top. So we can write it as 0.\overline{5} = 0.55555\ldots

The three dots indicate it goes on forever following that pattern.

Let

x = 0.55555....

Multiply both sides by 10 to move the decimal point 1 spot to the right

10x = 5.55555....

Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.

After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.

Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.

3 0
2 years ago
Jordan works for a landscape company during his summer vacation. He is paid $12 per hour for mowing lawns and $14 per hour for p
vitfil [10]

Answer:

m+g\leq40

12m + 14g\geq250

Step-by-step explanation:

Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.

Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.

He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.

Then, the system of the inequality becomes

m+g\leq40

12m + 14g\geq250

8 0
3 years ago
Suppose that Marlie had decided to apply for a private loan rather than a federal loan. She has
34kurt

Using simple interest, and considering a loan of $5,000, it is found that:

a) Her monthly payment is of $74.17.

b) She will pay back $8,900.

c) The total interest amount is of $3,900.

The amount of money after <u>t years</u> in <em>simple interest</em> is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

In this problem:

  • The loan is of $5,000, hence A(0) = 5000.
  • The APR is of 7.8%, hence r = 0.078
  • 10 years, hence n = 10

Item b:

A(10) = 5000[1 + 0.078(10)] = 8900

She will pay back $8,900.

Item a:

$8,900 will be paid in 10 x 12 = 120 months, hence:

M = \frac{8900}{120} = 74.17

Her monthly payment is of $74.17.

Item c:

<u>Loan of $5,000, pays back $8,900</u>, hence:

8900 - 5000 = 3,900

The total interest amount is of $3,900.

A similar problem is given at brainly.com/question/13176347

5 0
2 years ago
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