You run around the perimeter of a baseball field at a rate of at least 10 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field? The top of the semicircle is 40% of a circle of radius 175 ft. And the bottom two sides... I think... are 250 ft.

Answers

Answer 1

Answer: 1) we have to calculate the lenght of the baseball field.

perimeter of the baseball field=2(radius)+lenght of a semicircle.

2(radius)=2(175 ft)=350 ft
lenght of a semicircle=40% of a circumference=(40/100)(2πr)

Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=
=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.

10 ft------------------------1 second
789,82 ft----------------- x

x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

answer: 79 seconds.

Answer 2

Answer:

79 seconds

Step-by-step explanation:

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Simplify the expression

x^2 + 3x - 28/ x^2 - 7x + 12

Show your work.

Answers

Answer:

(x^4 + -4 x^3 + 12 x^2 - 28)/x^2

Step-by-step explanation:

Simplify the following:

x^2 + 3 x - 7 x + 12 - 28/x^2

Put each term in x^2 + 3 x - 7 x + 12 - 28/x^2 over the common denominator x^2: x^2 + 3 x - 7 x + 12 - 28/x^2 = x^4/x^2 + (3 x^3)/x^2 - (7 x^3)/x^2 + (12 x^2)/x^2 - 28/x^2:

x^4/x^2 + (3 x^3)/x^2 - (7 x^3)/x^2 + (12 x^2)/x^2 - 28/x^2

x^4/x^2 + (3 x^3)/x^2 - (7 x^3)/x^2 + (12 x^2)/x^2 - 28/x^2 = (x^4 + 3 x^3 - 7 x^3 + 12 x^2 - 28)/x^2:

(x^4 + 3 x^3 - 7 x^3 + 12 x^2 - 28)/x^2

Grouping like terms, x^4 + 3 x^3 - 7 x^3 + 12 x^2 - 28 = x^4 + (3 x^3 - 7 x^3) + 12 x^2 - 28:

(x^4 + (3 x^3 - 7 x^3) + 12 x^2 - 28)/x^2

3 x^3 - 7 x^3 = -4 x^3:

Answer: (x^4 + -4 x^3 + 12 x^2 - 28)/x^2

The value of m in the equation 9m-4=-18+2m

Answers

9m - 4 = -18 + 2m

First, we transfer 2m to the other sideand change operation from positive to negative. We also do the same for -4 andchange operation from negative to positive in order to solve this equation.

9m - 2m =-18 + 4

Next we simplysubtract and add from left to right, respectively.

7m = -14

Then, we can now findm by dividing both sides with 7…

7m/7 =-14/7

We’ve arrived at the answer!

m = -2

Checking:

9(-2) - 4= -18 + 2(-2)
-18 - 4 =-18 - 4
-14 = -14

I hopethis helps. :)

If you would like to know what is the value of m in the equation 9 * m - 4 = - 18 + 2 * m, you can calculate this using the following steps:

9 * m - 4 = - 18 + 2 * m
9 * m - 2 * m = - 18 + 4
7 * m = - 14 /7
m = - 14 / 7
m = - 2

The correct result would be - 2.

Find three ordered pairs for x=9

Answers

Three examples are (9, 1), (9, -5), and (9, 3.2).

A local hamburger shop sold a combined total of 688 hamburgers and cheeseburgers on Thursday. There were 62 fewer cheeseburgers sold than hamburgers How many hamburgers were sold on Thursday?

Answers

Answer:

626

Step-by-step explanation:

So 62 fewer right so 688 combined- 62 cheeseburger =626 hamburger

There are 70 students in a school band. 40%are sixth graders,20% are seventh graders and the rest are eighth graders.How many sixth graders are there.

Answers

Answer:the number of sixth graders is 28

Step-by-step explanation:

Total number of students in the school band is 70. 40% are sixth graders. 20% are seventh graders and the rest are eighth graders. This means that the percentage of eighth graders is 100 - (40+20) = 100 - 60 = 40%

This means that the number of sixth graders would be 40% of the total number of students in the school band. It becomes

40/100 × 70 = 0.4×70 = 28

A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree. Approximately how high up the tree does the top of the pole reach?

A.
17.0 feet

B.
12.7 feet

C.
7.0 feet

D.
1.9 feet

Answers

B. 12.7 because use when i calculated it, it came up to12.69 but when you round the numbers up it will become 12.7

The answer is 12.7 feet. I just took the quiz and got the answer correct.

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