The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 8,400 square meters. What is the perimeter of the th rack? Use 3.14 for pi

Answers

Answer 1

Answer:

468.4 meters

Step-by-step explanation:

Find the width of the rectangle.

The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.

A=length*width

8,400=140*width

60= width

Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a​ circle, the perimeter of the two semicircles is equal to the circumference of one circle.

The circumference of a circle is equal to pi​d, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.

​So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.

≈188.4

(2 times 140)+ 188.4

​So, the perimeter of the track is 468.4 meters.


Related Questions

Simplify-2(4x-6)+3(8x+2)

Answers

Answer:

-8x +12 + 24x +6 = 0

16x + 18 =0

16x = -18

x = - 18/16 = - 1.125

-8x+12 + 24x+6
Which then simplifies to:
16x + 18

A gray whale's heart beats 64 times in 8 minutes. What is the whale's heart rate in beats per minute? 8 heartbeats per minute 56 heartbeats per minute 72 heartbeats per minute 512 heartbeats per minute

Answers

Answer:

8 heart beats per minute

Step-by-step explanation:

64/8

Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.

1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet​

Answers

Step-by-step explanation:

Volume of square pyramid

= (Base length)² * (Height/3).

Therefore we have 8 = 2² * (h/3).

=> 8 = 4 * (h/3), h/3 = 2, h = 6.

Hence the height is 6 feet. (1)


What force is affected when the distance between two objects remains the name and the mass of each object is doulod?
HELP quick

Answers

Answer:

gravitational force or  A the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

it a

If (x + 1)(x - 5) = -9, then which of the following statements is true?
A x+1=0 or x-5=0
B x+1=9 or x-5=-9
C x-2=0

Answers

Answer:

B, although i believe that you wrote wrong, it should be x+1= -9, instead of positive 9

Step-by-step explanation:

Someone please help! I’m willing to pay for someone to help me with my five problems!

Answers

Answer:

28

Step-by-step explanation:

Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28

If you need more help, you can comment! :)

20 over 35 equals 110 over b

Answers

Answer:

[tex]b=192.5[/tex]

Step-by-step explanation:

We can set up the following proportion:

[tex]\frac{20}{35}=\frac{110}{b}[/tex].

Cross-multiply to solve for [tex]b[/tex]:

[tex]20b=110\cdot 35,\\b=\frac{110\cdot35}{20}=\fbox{$192.5$}[/tex].

Hey there![tex]\bold{\dfrac{20}{35}=\dfrac{110}{b}}[/tex]Cross multiply [tex]\bullet \ \bold{numerator \times denominator }\\ \\ \bullet \ \bold{denominator \times numerator}[/tex][tex]\bold{20\times b = 110 \times 35}\\ \\ \bold{20\times b=20b}\\ \\ \bold{110\times35=3,850}\\ \\ \underline{\bold{New\ equation: 20b = 3,850}}[/tex]DIVIDE [tex]\bold{20}[/tex] on BOTH SIDES[tex]\bold{\dfrac{20b}{20}=\dfrac{3,850}{20}}[/tex]CANCEL out:   [tex]\bold{\dfrac{20}{20}}[/tex] because that gives you [tex]\bold{1}[/tex]KEEP: [tex]\bold{\dfrac{3,850}{20}}[/tex] because it helps us solve for [tex]\bold{b}[/tex][tex]\bold{b = \dfrac{3,850}{20}=\dfrac{3,850\div10}{20\div10}=\dfrac{385}{2}}[/tex][tex]\boxed{\boxed{\huge{\bf{Answer: b = \dfrac{385}{2}}}}}\checkmark[/tex]Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]

If 3 oranges cost $1.75, how much would 18 oranges cost?

Answers

Answer:

31.5 i think

Step-by-step explanation:i used multi if its wrong im so sorry

Answer:

10.50$

Step-by-step explanation:

if you divide the cost of 3 oranges by 1 orange you get one oranges price then multiply it by 18.

please help ILL GIVE BRAINLIEST

Answers

Answer:

1 2 and 4th

Step-by-step explanation:

that is it

Square ABCD is shown in the xy-coordinate plane. The square will be
dilated with the center O by a scale factor of 2 to create square A'B'C'D'.
Which statements are true?
Select all that apply.

BC ||B'C'
AC=A'C'
AD_CD
Point D' has the same coordinates as point C.
Point C' lies on the line containing points 0 and C.

Answers

9514 1404 393

Answer:

  A, C, D, E

Step-by-step explanation:

Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:

BC║B'C'AC ⊥ line C'D'D' and C have the same coordinatesC' lies on line OC

Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?

Answers

Answer:

27 years old

Step-by-step explanation:

Full question isDaniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel? Solution

Daniel = d, Sara = s, Luke = l, Rachel = r

We get below relations:

d = 0.15sl = 0.75sr = 3d ⇒ r = 3*0.15s  ⇒ r = 0.45s

Sum of ages:

d + s + l + r = 141

Substitute and solve for s:

0.15s + s + 0.75s + 0.45s = 1412.35s = 141s = 141/2.35s = 60

Rachel's age is:

r = 0.45*60 = 27

write an absolute value inequality for the graph below.
use x for your variable.

Answers

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.


Wrote an expression equivalent to the one below using the identity property 4x1

Answers

Answer:

1x4

Step-by-step explanation:

identity property is any number multiplied by itself is the same number

34 1/3% of animals at the shelter are dogs. About what fraction of the animals are dogs?

Answers

Answer:

Step-by-step explanation:

34%=34100

=0.34

=0.341×100100

=34/100

=17/50

if x+y = 1, and x^2 + y^2 = -1, what is x^7 + y^13?
1) 0
2) 1
3) -2
4) 2
5) -1

Answers

Solve for x and y :

x + y = 1   →   y = 1 - x

x ² + y ² = -1

x ² + (1 - x)² = -1

x ² + (1 - 2x + x ²) = -1

2x ² - 2x + 1 = -1

2x ² - 2x + 2 = 0

x ² - x + 1 = 0

x ² - x + 1/4 = -3/4

(x - 1/2)² = -3/4

x - 1/2 = ±√(-3/4)

x - 1/2 = ±√3/2 i

x = 1/2 ± √3/2 i   →   x = exp(± /3)

y = 1 - (1/2 ± √3/2 i )   →   y = -1/2 ± √3/2 i   →   y = exp(± 2/3)

Then

x ⁷ + y ¹³ = exp(± 7/3) + exp(± 26/3)

… = exp(± /3) + exp(± 2/3)

since 7π/3 is equivalent to π/3, and 26π/3 is equivalent to 2π/3 (both modulo 2π).

In either case, we get

x ⁷ + y ¹³ = x + y = 1

so the answer is (2) 1.

HELP PLS ASAP 25 POINTS YOU CAN SAVE MY GRADE PLS
Evaluate the expression below when x = 5.
3x(2x - 7)
A.) 0
B.) 24
C.) 45
D.) 143

Answers

Answer:

C.) 45

Step-by-step explanation:

3x(2x - 7)

3 * 5 (2 * 5 - 7)

15 * (10 - 7)

15 * 3

45

Hope this helps :)

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Answers

Is this Morse code ......

Answer:

nice picture bro

Step-by-step explanation:

Suppose that a chemist is mixing two acid​ solutions, one of 15​% concentration and the other of 25​% concentration. Which of the following concentrations could not be​ obtained?

Choose the correct answer below.

Answers

Answer: d. 29%

Step-by-step explanation:

The mixture of the two concentrations should equal a concentration that is between the concentration percentages of the two solutions.

This is because the lower concentration percentage will pull the higher one down while the higher concentration will pull the lower one up. It will not be possible to get a mixture concentration that is lower than the lower concentrated acid or higher than the higher concentration acid.

Mixture concentration must be between 15% and 25%.

Option D at 29% is therefore not possible.

what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?

A. 30 calories

B. 202 calories

C. 270 calories

D. 360 calories

Answers

Answer: C

Step-by-step explanation:

Help me I'm too tired to think and this is easy.

Please tell me if this number is greater than, less than or equal to 5. The number is -(-5)

Answers

Answer:

equal to

Step-by-step explanation:

two negatives equals positive

Answer:

Equal

Step-by-step explanation:

Double negative equals a positive. Gn

please send answers ​

Answers

Answer:

multiple 10.5x10.5 and then 7x7 and then add both answer s

Step-by-step explanation:

Answer is explained above

Help plssss with my exit ticket

Answers

Answer: 200.96 ft^2

Step-by-step explanation:

area of circle = (3.14 (pi))r^2

Radius is 6 (16 (the diameter)/2 = 8)

Answer:

Answer is H 200.96 :) Have a Happy Thursday!!

Jane drove 693 miles in 11 hours.
At the same rate, how long would it take her to drive 411 miles?

Answers

Answer:

approx. 6.523809523809524 hours

Step-by-step explanation:

Let us first find how long it takes Jane to drive 1 mile.

11/693 = approx. 0.015873015873016 hours to drive one mile.

She drives 411 miles, so we can multiply that by 411:

0.015873015873016 * 411 = approx. 6.523809523809524 hours

I hope this helps! :)

Answer:

6.52 hours

Step-by-step explanation:

693 miles divided by 11 hours = 63 miles per hour.

411 miles divided by 63 miles = 6.52380952 miles

Round to 2 decimal places: 6.52 hours

Can any of you plz answer? (math)

Answers

Omg I took that lesson on I ready, your answer is 4 (please mark brainliest)

Find the area of the figure. Assume all measurements are centimeters.

Answers

Answer:

The total area of the figure is 68.5 square centimeters.

Step-by-step explanation:

To calculate the total area, we must concieve it by the sum of areas of smaller triangles and rectangles. We present our strategy in the image attached below:

[tex]A = A_{1}+A_{2}+A_{3}+A_{4}+A_{5}[/tex] (1)

Where all areas are measured in square centimeters.

Please notice that [tex]A_{2}[/tex], [tex]A_{3}[/tex] and [tex]A_{5}[/tex] are triangles and [tex]A_{1}[/tex] and [tex]A_{4}[/tex] are rectangles.

The resulting area is calculated below:

[tex]A = (1)\cdot (2) + \frac{1}{2}\cdot (2)^{2} +\frac{1}{2}\cdot (3)\cdot (7)+(9)\cdot (5)+\frac{1}{2}\cdot (2)\cdot (9)[/tex]

[tex]A = 68.5\,cm^{2}[/tex]

The total area of the figure is 68.5 square centimeters.

I need help with this question from my daughters 1st grade math class. I believe the answer should be 12 but the teacher says the answer should be 6. How is the answer 6?

Mackenzie picks some apples.
She eats 3 apples.
Now she has 9 apples.
How many apples did Mackenzie pick to start?
A. 3 apples
B. 6 apples
C. 9 apples
D. 12 apples

Answers

Answer:

d.12

Step-by-step explanation:

its saying she ate 3 an now has 9. so you really add 3 to 9 an your answer is 12. in other words x=9+3 for your level of math. i'll be glad to help her with her home work for now if you would like me to.

Answer: Option D 12 apples

Step-by-step explanation:

SOOOO

She ate 3 apples and after that, she left with the 9 apples

They asked how many did Mackenzie pick.

SO its past tense

we have to add 3 apples that she just ate

so 9+3= 12 apples

I think your teacher is wrong because I think your teacher thought that she had 9 apples actually she has 9 apples after she just ate. So if it was before she has eaten the apples then it would be 6

Tell the teacher that she/he is wrong and give this explanation  

I hope this helps you and your teacher

Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Answers

Answer:

please refer to the above attachment

(D) is the right answer.

How to get 6/9 as a decimal using division help

Answers

the answer is .6666666667

PLEASE HELP ME PLEASEEEEEEEEEEEEEE

Answers

The answer would be five 1/3s in 1 2/3, considering one whole is 3/3 plus another 2/3 would be five 1/3s

Lisa has 5 Pink, 3 Red and 12 Blue balls. What is the probability of randomly picking up a Red or Pink ball?

Answers

There are a total of 20 balls, 8 of which are red or pink . 8/20 reduced is 2/5
It’s there if you go 5 dagres up
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