A high school track is shaped as a rectangle with a half circle on either side.
A rectangle has a length of 96 meters and width of 35 meters. 2 semicircles with diameters of 35 meters are on each end of the rectangle.
Jake plans on running four laps. How many meters will Jake run? Use 3.14 for Pi.

301.9 m

823.6 m

1,207.6 m

1,647.2 m

A High School Track Is Shaped As A Rectangle With A Half Circle On Either Side.A Rectangle Has A Length

Answers

Answer 1

Answer:

Option (3)

Step-by-step explanation:

Track is shaped as a rectangle with a semicircle on either side.

Therefore, length of the track = 2(Length of rectangle) + perimeter of a complete circle formed by joining the semicircles on each side.

= 2(96) + 2πr

= [tex]192+2\pi (\frac{35}{2})[/tex]

= 192 + 35π

= 192 + 109.9

= 301.9 m

Since, Jake plans to run four laps.

Therefore, distance covered by Jake = 4 × 301.9

                                                              = 1207.6 m

Option (3) will be the correct option.

Answer 2

Answer:

C

Step-by-step explanation:

i did the test and got it right :D


Related Questions

Find the selling price of a $32 item after a 50% markup.
The selling price is $

Answers

Answer:

The seelijg price is $48.

Step-by-step explanation:

Markup is the amount a store adds to its cost of an item to come up with the selling price.

store cost + markup = selling price

If the markup on an item is 50%, then the store adds 50% of its cost to its cost to arrive at the selling price.

$32 + 50% of $32 =

= $32 + 0.5 * $32

= $32 + $16

= $48

Answer:

50% of 32 is 16 so it it 16$

can you do 3 pages of work for me?

Answers

Answer:

if it is easy i can do it

hope it helps

Answer:

3

Step-by-step explanation:

I will help

1. Find the length of X (in the picture) plssss I need help.​

Answers

Step-by-step explanation:

[tex] \frac{5}{4} = \frac{x}{6} \\ 4x = 30 \\ x = 7.5[/tex]

What is the difference between equation and function?
A. All of the options

B. An equation tells us in a clear term the nature of relationship between one variable and the other variable(s), but a function may not be explicit enough

C. An equation and a function is that, for an equation each of the values of independent variable should give a corresponding value of a dependent variable , that is not compulsory tor a function.

D. All equations are functions but not all functions are equations

Answers

Answer:

A is the answer........

Chad has a rope that is 15 yards long. How many pieces of rope measuring 5/7 of a yard can he divide his rope into?
A. 28
B. 21
C. 35
D. 14

Answers

Answer:

Chad can divide his rope in 21 pieces. (Answer B)

Step-by-step explanation:

To solve we divide.

15 divided by 5/7 is what we need to know.

When dividing fractions it is the same thing as multiplying by the reciprocal (flipped version of the fraction).

[tex]15[/tex] ÷ [tex]\frac{5}{7}[/tex] = 15 × [tex]\frac{7}{5}[/tex]

[tex]\frac{15}{1}[/tex]  × [tex]\frac{7}{5}[/tex] = [tex]\frac{105}{5}[/tex]

[tex]\frac{105}{5}[/tex] = 21

Chad can divide his rope in 21 pieces.

Answer:

21 pieces

Step-by-step explanation:

Divide (5/7 yd / piece) into 15 yds:

   15 yds

----------------------- = 21 pieces

(5/7 yd / piece)

I’ll give brainlist to best answer

Answers

Answer:

12.25

Step-by-step explanation:

Expression

x^2 + 2y

x = 2.5

y = 3

x^2 = 6.25

2y = 3*2 = 6

x^2 + 2y = 6.25 + 6

x^2 + 2y = 12.25

Answer:

12.25

Step-by-step explanation:

We find the equation x^2 + 2y when x = 2.5 and y = 3.

We just have to replace x with 2.5 and y with 3 in the equation:

x^2 becomes 2.5^2

2y becomes 2 * 3 (When a variable is next to a number it means multiply)

So we get 2.5^2 + 2 * 3

We first do 2.5^2. 2.5^2 is the same as 2.5 * 2.5, which equals 6.25

Next we do 2 * 3 which equals 6

So it is 6.25 + 6, which is 12.25

How many vertices does a triangular prism have?
4 5 6 9

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Vertices are the vertex points. there are 4 vertices at the bottom and 2 vertices at the top which makes 6.

Hope this helps

The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. table. f(x) 012) --2 -1 1 Of(0) = } f(1) = -1 0 کی ادN Of(2)= 1 1 2 Of(4) = ? 2 2 Na​

Answers

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

[tex]f(x)=\frac{1}{2}x+\frac{3}{2}[/tex]

Option 1

[tex]f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}[/tex]

          [tex]=-\frac{1}{4}+\frac{3}{2}[/tex]

          [tex]=-\frac{1}{4}+1+\frac{1}{2}[/tex]

          [tex]=1+\frac{1}{4}[/tex]

          [tex]=1\frac{1}{4}[/tex]

So, [tex]f(-\frac{1}{2} )=-2[/tex] is false.

Option 2

f(0) = [tex]\frac{1}{2}(0)+\frac{3}{2}[/tex]

     = [tex]\frac{3}{2}[/tex]

True.

Option 3

f(1) = [tex]\frac{1}{2}(1)+\frac{3}{2}[/tex]

    = [tex]\frac{3+1}{2}[/tex]

    = 2

Therefore, f(1) = -1 is false.

Option 4

[tex]f(2)=\frac{1}{2}(2)+\frac{3}{2}[/tex]

       [tex]=1+1+\frac{1}{2}[/tex]

       [tex]=2\frac{1}{2}[/tex]

Therefore, f(2) = 1 is false.

Option 5

f(4) [tex]=\frac{1}{2}(4)+\frac{3}{2}[/tex]

     [tex]=2+\frac{3}{2}[/tex]

     [tex]=\frac{4+3}{2}[/tex]

     [tex]=\frac{7}{2}[/tex]

True.

Options (1) and (5) are the correct options.

The vector w=ai+bj is perpendicular to the line ax+by=c and parallel to the line bx−ay=c. It is also true that the acute angle between intersecting lines that do not cross at right angles is the same as the angle determined by vectors that are either normal to the lines or parallel to the lines. Use this information to find the acute angle between the lines below.

2x+5y=4, 7x+3y=8

Answers

Answer:

The angle between the liens is 135 degree.

Step-by-step explanation:

Equation of first line

2 x + 5 y = 4 ...... (1)

Equation of second line

7 x + 3 y = 8 ..... (2)

The slope of a line is given by

[tex]m = \frac{- coefficient of x}{coefficient of y}[/tex]

Slope of first line

[tex]m = -\frac {2}{5}[/tex]

Slope of second line

[tex]m'= - \frac{7}{3}[/tex]

The angle between the two lines is given by

[tex]tan\theta = \frac{m- m'}{1 + m m'}\\\\tan\theta = \frac{-\frac{2}{5}+\frac{7}{3}}{1+\frac{2}{5}\times \frac{7}{3}}\\\\tan\theta = -1 \\\\\theta = 135^o[/tex]

Caleb types 100 words in 5 minsutes . What is the unit rate

Answers

Answer:

The unit rate is 20.

Step-by-step explanation:

Divide 100 (words) by 5 (minutes) to get 20 words every minute.

The volume of a cone with a diameter of 9 and a height of 120

Answers

Answer: 15268.1403 unit^3 (unit: cm,m,mm)

Step-by-step explanation:

volume of a cone= 1/2*pi*r^2*h

r= radius (unit: cm,m,mm)

h= perpendicular height (unit: cm,m,mm)

volume= 1/2*pi* (9)^2* 120 = 15268.1403 unit^3

Can anyone help me with this question!

Answers

9514 1404 393

Answer:

  D.  (x² -2x -3) +(-x² +4x +2)

Step-by-step explanation:

The tiles on the first row model (x² -2x -3).

The tiles on the second row model (-x² +4x +2).

If the difference is being modeled, it will show as ...

  (x² -2x -3) -(-x² +4x +2) = (x -2x -3) +(x² -4x -2) . . . . . matches none

If the sum is being modeled, it will show as ...

  (x² -2x -3) +(-x² +4x +2) . . . . . matches D

_____

Additional comment

As is often the case, you can select the correct answer without even any understanding of the question. You can do that because the correct answer is the only one that is a true statement. All of the other answer choices are incorrectly "simplified."

Eric wants to buy a new hat
which costs $17. He made
$5 by raking leaves and
$8 by washing cars.
How much more money does he need?

Answers

Answer:

the answer is 4

Step-by-step explanation:

you subtract 13 from 17 =4

Can someone answer with steps and explanation? Thanks.

Answers

Answer:[tex]\color{yellow}{}[/tex]

∆ABC

∆DEF

∆ABC

<C

<D

<X

BE>

CF>

AD>

34>

x9×>

A=3.7

1. Find the equation of variation where a varies jointly as b and c, and a = 36 when b = 3 and c = 4.​

Answers

Problem Solving:-

1. Find the equation of variation where a varies jointly as b and c, and a = 36 when b = 3 and c = 4.

Solution:-

[tex]\sf{a = kbc}[/tex]

[tex]\sf\rightarrow{36= k(3)(4)}[/tex]

[tex]\sf\rightarrow{K= \frac{36}{12}}[/tex]

[tex]\sf\rightarrow{K={\color{magenta}{3}}}[/tex]

Answer:-Therefore, the required equation of variations is a = 3bc.

[tex]{\large{——————————————————}}[/tex]

#CarryOnMath⸙

4. A certain bacteria doubles every day. If there are 810 bacteria on day one, how long will it take the bacteria to grow to 206550?

Answers

Answer:

255 days

Step-by-step explanation:

810 ÷ 206550 = 255

PLEASEEEEEEEEEE HELPPPPPP PLSEASEEEE IM BEGGING SOMEONE PLEASEEEEEEEEEEEEEEEEEEEEEEEEE PLEASEEEEEE PLEASEEEEE​

Answers

Answer:

30 degree

Step-by-step explanation:

x + x + 60 + 60 = 180 degree (being sum of interior angles of a triangle )

2x  120 = 180

2x = 180 - 120

x = 60/2

x = 30 degree

Answer:

I'm not quite sure but there is 180 degrees in a triangle and they give us two 60 degrees which add up to 120. So, I'm assuming x = 60 or either 30 degrees if we're solving for both the x's at the top.

I'm really sorry if this is wrong.

5/8 + 3/4 / -2/3- 5/6.

Answers

Answer:

-5/16 or -0.3125

Step-by-step explanation:

Answer:

-11/12

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

15-9x 1/2

I’ll give Brainiest

Answers

Answer:

-9x/2 + 15/2

Step-by-step explanation:

(15-9x)* 1/2

15(1/2)-9x 1/2

15/2 -9x *1/2

15/2-9x/2

-9x/2 + 15/2

Answer:

21/2 ( SEE IMAGE BELOW)

Step-by-step explanation:

Calculate the product

15- 9/2

Calculate the Differnce

21/2

so the answer is 21/2

In the population of young children eligible to participate in a study of whether or not their calcium intake is adequate, 52% are 5 to 10 years of age and 48% are 11 to 13 years of age. For those who are 5 to 10 years of age, 18% have inadequate calcium intake. For those who are 11 to 13 years of age, 57% have inadequate calcium intake.

Required:
a. Use letters to define the events of interest in this exercise.
b. Convert the percents given to probabilities of the events you have defined.

Answers

Answer:

(a) A = 5 to 10 years old

B = 11 to 13 years old

C = adequate calcium intake

I = inadequate calcium intake.

(b) P(A) = 0.52, P(B) = 0.48, P(I|A) = 0.18, P(I|B) = 0.57.

Step-by-step explanation:

Complete question

Please find the attached image

(a) A = 5 to 10 years old

B = 11 to 13 years old

C = adequate calcium intake

I = inadequate calcium intake.

b) P(A) = 0.52, P(B) = 0.48, P(I|A) = 0.18, P(I|B) = 0.57.

Write the equation of the line in Point-Slope Form given the information below. Slope =−1/5 Y-Intercept =−3 Point-Slope Form:

Answers

Answer:

[tex]y - 0= \frac{ - 1}{5}( x + 15)[/tex]

20 POINT MATH PROBLEM HELP

Answers

Answer:

x=50

Step-by-step explanation:

EFI=HFG (diagonals bisect angles)

125=3x-25

125+25=3x

150=3x

150/3=3x/3

50=x

There are 12 squares and 9 circles . What is the simplest ratio of circles to total shapes?

Answers

:) sorry i put the wrong answer before bc i thought i knew it but it was the wrong one and i dont know how to delete the answer sorrryyyyyyyyyyyyyyyy

HELP!! Emma made punch with
1
4
How many gallons of ginger ale does she need to add to make a total of 4 gallons of punch?
Part A
Which diagram can Emma use to help find the number of gallons of ginger ale she needs?
O
B.
A.
4 gal
g
g
9
g
1
2
7
8
3
4
g
O
D.
g
g

Answers

Part A

Answer: Choice B (upper right corner)

Explanation: Simply add the fractions mentioned, plus the g term, and that leads to a total of 4 gallons overall.

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

Part B

Answer: Choice A. 7/8 of a gallon (upper left corner)

Explanation:

The mixed number 1 & 1/2 converts to the improper fraction 3/2

Adding the fractions gets us to

(3/2) + (7/8) + (3/4)

(12/8) + (7/8) + (6/8)

(12+7+6)/8

25/8

So far, 25/8 of a gallon is accounted for. Add on the g to get (25/8)+g

Set this equal to the 4 gallons we want and solve for g

(25/8)+g = 4

g = 4 - (25/8)

g = (32/8) - (25/8)

g = (32-25)/8

g = 7/8

She needs 7/8 of a gallon of ginger ale

given the function f(x) = 2x^2 - 6x +4. calculate the following values

Answers

Answer:

x^1 = 1, x^2 =2

Step-by-step explanation:

its hard to explain but there's the answer

What is the value of x in the triangle?
3/2
X
help please<3

Answers

Answer:

x = 3

Step-by-step explanation:

Assuming the acute angle are 45degrees

Hypotenuse = 3√2

Opposite = x

According to SOH CAH TOA

Sin 45 = opposite//hypotenuse

Sin 45 = x/3√2

1/√2 = x/3√2

Cross multiply

√2x = 3√2

x = 3

Hence the value of x is 3

The measure of ∠1 =

a. 110
b. 62.5
c. 55

Answers

Answer:

option C

Step-by-step explanation:

Answer
D

Explanation

which figure shows the radius of circle O?

Answers

Answer:

D

Step-by-step explanation:

The radius of a circle refers to a segment connecting the center of the circle to the circumference of the circle. This can be seen in selection D), as a segment connects the center of the circle (O) to the circumference or outer edge of the circle.

The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 40 jumpers at a discount rate of 11%, what is the trade discount on the purchase?

Answers

Answer:

The trade discount is

$235.4

Step-by-step explanation:

Given data

Slacks= $22

Jumpers= $37

Number of orders for Slacks= 30

Number of orders for Jumpers= 40

Total cost

22*30=$660

37*40=$1480

=$2140

11% discount can be computed as

=11/100*2140

=$235.4

1. The curved surface area of a cylinder of height 21cm is
660cm", find its radius. please help me .....
I will give brainliest. ​

Answers

Answer:

21 times 660 and then you will get the answer

Mark Brainliest please

Answer: 5 cm

Step-by-step explanation:

Curved Surface area of a cylinder formula :-

2.pie*r*h (where r is the radius)
Height = 21 cm

Curved Surface area of the cylinder = 660 cm2

So, 2* pie* r* h = 660 (Here I will assume pie to be 22/7)

And 2* 22/7 * 21* r = 660

And 132 * r = 660
Therefore, r = 660/132 = 5cnn

Therefore radius of the cylinder = 5 cm
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