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Nat2105 [25]
2 years ago
5

The diameter of a circle is 3 times the side length of a square . If the square has an area if 144, what is the length of the ra

dius in the circle?
Mathematics
1 answer:
stellarik [79]2 years ago
5 0
If the square's area is 144, then the two sides are both 12.
The diameter is 3 times the side length (12): 3*12=36
The radius is half of the diameter: 36/2=18

The radius is 18
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Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9 for the second and third​ dig
Anna35 [415]

Using the fundamental counting theorem, we have that:

  • 648 different area codes are possible with this rule.
  • There are 6,480,000,000 possible 10-digit phone numbers.
  • The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.

For the area code:

  • 8 options for the first digit.
  • 9 options for the second and third.

Thus:

8 \times 9 \times 9 = 648

648 different area codes are possible with this rule.

For the number of 10-digit phone numbers:

  • 7 digits, each with 10 options.
  • 648 different area codes.

Then

648 \times 10^7 = 6,480,000,000


There are 6,480,000,000 possible 10-digit phone numbers.

The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

A similar problem is given at brainly.com/question/24067651

5 0
2 years ago
Evaluate the expression 2m + n for m = 17 and n = 8.
iragen [17]

Answer - 42

Expression Evaluated - 2 Times 17 Plus 8

We take the M and the N and substitute 17 for M and 8 for N, then we solve the problem.

Best Of Luck,

     - Ari -

4 0
3 years ago
PLEASE HELP ME I AM HORRIBLE AT TRIGONOMETRY!!! TRIANGLES ARE SO HARD!!!
OleMash [197]

Answer:

A construction worker may use trigonometry when building the roof of a house. They may have to calculate the right angle that hypotenuse must sit at so water doesn't build up on the roof and cause leaks.

(this may be more of an architect's job, as they are the ones that design the houses)

or

An air traffic controller may use trigonometry to find how long it will take an airplane to land/how far the airplane is from the ground while it is in the sky (hypotenuse), based on its height from the ground (opposite) and the distance away from the runway it is (adjacent). They can also calculate the angle of elevation of the airplane from the tower they work in.

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Which expression is equivalent to 9p+9p
mafiozo [28]

Answer:

18p? I don't know what other expressions could be equivalent. I just added 9p to 9p to get my answer.

8 0
2 years ago
A robot can complete 3 tasks in 4/5 hour. Each task takes the same amount of time.
nikitadnepr [17]
A. 16 minutes.
b. around 3.5 tasks.
7 0
3 years ago
Read 2 more answers
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