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rjkz [21]
3 years ago
12

An oval track is made by enclosing semicircles on each end of a 60 m by 120 m rectangle. Find the area enclosed by the track. Us

e 3.14 for pi.
Mathematics
1 answer:
IrinaVladis [17]3 years ago
3 0

Answer:

10026 m²

Step-by-step explanation:

Since there are two semicircles attached to the rectangle, we can just say that that is one circle.

1. The area of the rectangle:<em> length * width = 60 * 120 = 7200 m²</em>.

2. The area of the circle: πr²

a. The radius of the circle: Since the circle is attached to the end of the rectangle, that means that the diameter would be the same length as the width. So, it would be 60 m, therefore, <em>the radius is 30 m</em>.

b. πr² = 3.14*30² = 3.14*900 = <em>2826 m²</em>.

3. Total: 2826 + 7200 = 10026 m².

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Use the simple interest formula method to calculate the future value of an annuity with annual annuity payments of $1200 at 4% i
nikitadnepr [17]

Answer:

Step-by-step explanation:

A = $2,629.35
A = P + I where
P (principal) = $1,200.00
I (interest) = $1,429.35

8 0
2 years ago
What is the area of a square if the length is 4x-3
frez [133]

Answer:

The area  of square in terms of x = 16x² -24x + 9

Step-by-step explanation:

It is stated in the question that the length of a square = 4x - 3

Formula to find the area of the square is

Area = length²

Area = ( 4x - 3 )²

by using ( a - b )² = a² + b² - 2ab

here a = 4x and b = -3

So,

(4x)² + (-3)² - 2(4x)(3)

16x² + 9 - 2(12x)

16x² + 9 - 24x

16x² -24x + 9

The area  of square in terms of x = 16x² -24x + 9

3 0
3 years ago
Read 2 more answers
Ame
crimeas [40]

Answer:

Concept: Mathematical Analysis

  1. 2 friends share 56
  2. 5- 10 dollar bills and 6- one dollar
  3. We split the bills in half to equate equal change.
  4. Hence 5 bills ÷2= 2.5 or 25 dollars
  5. 6 bills÷2= 3 or 3 dollars
  6. You need to make change for the 10 dollars, break a bill into 5's
3 0
3 years ago
In 2008, golfer Annika Sornestam had a driving accuracy of 71%. That is, on par 4 and par 5 holes, her tee shot landed in the fa
Nady [450]

Answer:

Ok, we know that the driving accuracy is of 71%.

Then the first step is to get a spinner that is enumerated from 1 to 100 (in such way that each number is equispaced)

Now, we can mark a section between numbers 1 and 71. (this regio represents the cases where the shot lands in the fairway) and the unmarked region represents the cases where the shot does not land in the fairway.

Now, for each shot, we can spin our spinner next to a fixed pencil, depending on the section of the spinner that is marked by the pencil when the spinner fully stops, we can guess if the shot landed or not in the fairway.

In this way the shot has the region from 1 to 71 (71%) to land in the fairway

and the region from 72 to 100 to not land in the fairway.

If you want to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives, you need to spin the spinner 15 times, and record the oucomes.

8 0
3 years ago
Consider two persons. The age of one persoon isestimated between 25 and 35. The age of the other person isestimated between 15 a
Andrei [34K]

Answer:

Q1. The estimated sum of the two people are between 40 and 55 years old.

Q2. The first person is between 10 and 15 years older.

Step-by-step explanation:

We are given Age Range's for 2 people. The first question is asking for the sum of the two people's ages. In this case we can just <u><em>add</em></u> the two minimum ages together and then the two maximum ages like so,

<u>min:</u> 25 + 15 = 40

<u>max:</u> 35 + 20 = 55

So the estimated sum of the two people are between 40 and 55 years old.

The second question asks how much older the First person is from the Second person. We can calculate this by <u><em>subtracting</em></u> both age ranges like so,

<u>min:</u> 25 - 15 = 10

<u>max:</u> 35 - 20 = 15

So the first person is between 10 and 15 years older.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

7 0
3 years ago
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