Janet is in a race at a summer camp. She must run around a circular lake. She knows rhe diameter of the lake is 1.5 miles how far will Janet run? Use 3.14 for π

Answers

Answer 1

Answer:

4.71 miles

Step-by-step explanation:

Janet must run the length of the circumference of the circular lake.

The circumference of a circle is given as:

C = πD

where D = diameter of the circle.

The diameter of the circular lake is 1.5 miles. Therefore, its circumference is:

C = 3.14 * 1.5

C = 4.71 miles

She must run 4.71 miles.

Answer 2

Answer:

4.71

Step-by-step explanation:


Related Questions

A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other three sides. The area A(x) in square meters of the field is a function of the length x in meters of each of the sides perpendicular to the barn wall

Answers

Answer:

Rectangular area as a function of x :   A(x)  = 200*x  + 2*x²

A(max) = 5000 m²

Dimensions:

x = 50 m

l  = 100 m

Step-by-step explanation:

"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:

A(r) = x* l     and the perimeter of the rectangular shape is

P = 2*x + 2*l   but we won´t use any fencing material along the wll of the barn therefore

P  =  2*x + l       ⇒   200 = 2*x  + l      ⇒   l  = 200 - 2*x      (1)

And the rectangular area as a function of x is:

A(x)  = x * ( 200 - 2*x)  ⇒  A(x)  = 200*x  + 2*x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  200 - 4*x     ⇒   A´= 0

Then    200 - 4*x  = 0     ⇒   4*x =  200   ⇒  x  = 50 m

We find the l value, plugging the value of x in equation (1)

l  = 200 - 2*x     ⇒ l = 200 - 2*50   ⇒  l = 100  m

A(max)  =  100*50

A(max)  = 5000 m²

Answer:

Sorry man i dont know they answer

Step-by-step explanation:

The graph shows the relationship between mass and volume for pure silver. Use the graph to determine the density of pure silver to the nearest tenth and complete the explanation of how do you find the density

The density is equal to the
A. Run
B. Rise
C. Slope
D. Degree

The density of sliver is approximately __ g/cm cube

Answers

Answer:

C. Slope and [tex]10.49 g/cm^3[/tex]

Step-by-step explanation:

We're missing the graph itself, but I can make an educated guess:

- Assuming x = volume and y = mass:

[tex]p = \frac{m}{v}[/tex]

density = mass/volume

x = volume = run

y = mass = rise

mass/volume = rise/run = slope

The slope of the line (assuming the graph is purely linear) represents mass/volume, which is the formula for density.

I had to Google the density of silver itself. Do the math from the graph for a more appropriate answer, as the graph may be less scientifically precise.

cAnswer:

Step-by-step explanation:

Mr. Blackburn is buying new carpet for his family room and hallway. The floor plan is shown below.
Pls help me ASAP

Answers

Answer:

Step-by-step explanation:

3.2 times 1.5  plus 6 times4.2= 30 meters of carpet.

Answer:

He needs 23.7 of carpet

Step-by-step explanation:

multiply 4.2 and 6 which is 25.2. Then subtract 1.5 from 25.2 which is 23.7.

Work out, giving your answer as a mixed number:

4 2/3 + 1 3/4

Answers

Look at the attached picture

hope it will be helpful to you..

V2 is equal to + 2 a s derive

Answers

Answer:v² =u²+2aaS​

                                                                                                                                 

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Answers

Answer:

D

Step-by-step explanation:

see attachment

Find the value of the variable in each pair of similar figures. Round the answers to the nearest tenth. please help!!!!​

Answers

Answer:

x = 18 units

w = 20 units

n = 6.9 units

Step-by-step explanation:

Given: Similar figures

To find: value of the variable in each pair of similar figures

Solution:

Figures are said to be similar if they have same shape and not necessarily same size.

Corresponding sides of similar figures are always proportional.

[tex]ABCD\sim JKLM\\\frac{AB}{JK}=\frac{AD}{JM}\\\frac{12}{x}=\frac{6}{9}\\x=\frac{12\times 3}{6}=18\,\,units[/tex]

[tex]\Delta NOP\sim \Delta XYZ\\\frac{XZ}{NP}=\frac{YZ}{OP}\\\frac{12}{3}=\frac{w}{5}\\w=\frac{12\times 5}{3}=20\,\,units[/tex]

[tex]\Delta GHI\sim \Delta PQR\\\frac{GI}{PR}=\frac{GH}{PQ}\\\frac{3}{n}=\frac{7}{16}\\n=\frac{3\times 16}{7}=\frac{48}{7}=6.9\,\,units[/tex]

Find the next two terms of the geometric sequence 567, 189, 63 … .

Answers

Answer:

As we can observe,

F(1) = 567

F(2) = 189 = 567/3 = F(1)/3

F(3) = 63 = 189/3 = F(2)/3

=> F(4) = F(3)/3 = 63/3 = 21

Hope this helps!

:)

Answer:

21 then 7

Step-by-step explanation:

The dimensions of a chocolate box are: height=x + 2 inches, length=2x+5 inches, and width=4x-1 inches. If the volume of the chocolate box is 605 cubic inches, what is the value of x?

Answers

I hope this helps you

Answer:

To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.

Step-by-step explanation:

[tex]V=605 \text{in}^3[/tex]

Then one can also state the following:

[tex]V=(x+2)(4x-1)(2x+5)[/tex]

Following up with this substitution:

[tex]605=(x+2)(4x-1)(2x+5)[/tex]

Proceeding with a FOIL procedure:

[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]

[tex]605=8x^{3}+34x^{2}+31x-10[/tex]

[tex]0=8x^{3}+34x^{2}+31x-615[/tex]

Using PRZs:

[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]

By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.

[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]

Giving the following the polynomial:

[tex]0=(x-3)(8x^2+58x+205)[/tex]

Now one can evaluate the discriminant of that quadratic:

[tex]58^2-4(8)(205)=-3196[/tex]

Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]

− 5/6 ​x=−10/3 solve for X​

Answers

Answer:

X = 4

Step-by-step explanation:

-5/6x = -10/3

x = -10/3 * -6/5

x = 60/15

x = 4

Answer:

The result for this equation is [tex]x =4[/tex] .

Step-by-step explanation:

Solve the equation for [tex]x[/tex] :

[tex]-\frac{5}{6}x =-\frac{10}{3}[/tex]

[tex]\frac{-\frac{5}{6}x }{-\frac{5}{6} } =\frac{-\frac{10}{3} }{-\frac{5}{6} }[/tex]

[tex]x = 4[/tex]

So, the answer for this equation is [tex]x =4[/tex]  .

Question 2 of 10
2 Points
What is the location of the point on the number line that is of the way from
A = 37 to B = 13?
A 19
B. 28
C. 31
D. 25

Answers

Answer:

31

Step-by-step explanation:

The simplified form of 3root45 - root 125 + root 500

Answers

Answer:

the answer and explanation is in the picture

please like and Mark as brainliest

hope this helps

HELP ASAP!
Point A is located at (1, 4), and D is located at (-3, 6). Find the coordinates of the point that lies halfway between A and D. (5 points)

(3, 4)

(-3, 4)

(1, 5)

(-1, 5)

Answers

Answer:

I believe the answer is (-1,5)

Step-by-step explanation: because when you draw it out on a coordinate plain (-1,5) lies right in the middle of these two points.

A recipe calls for 2 3/4 cups on milk. If the recipe is tripled, how much milk is needed?

Answers

8 1/4 should be the answer

Answer:

8 1/4

Step-by-step explanation:

33/4 simplified is 8 1/4

1
2
3..
4
5
6
8
9
10
Which set of data does not contain any outliers?
113, 115, 103, 154, 109, 111, 119
141, 151, 111, 142, 149, 140, 150
99, 103, 91, 104, 109, 107, 97
131, 135, 131, 99, 138, 136, 140

Answers

Answer:

99, 103, 91, 104, 109, 107, 97

Step-by-step explanation:

The bold is the outlier

113, 115, 103, 154, 109, 111, 119

141, 151, 111, 142, 149, 140, 150

131, 135, 131, 99, 138, 136, 140

Help me out!!!! What is it

Answers

Answer:

92

Step-by-step explanation:

180-88=92

Supplementary angles equal 180 degrees

Answer:

92 degrees

Step-by-step explanation:

180-88=92

Graph the circle x2 + y² + 16x - 16y + 124 = 0

Answers

Answer:

the second option

Step-by-step explanation:

The graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

To graph the circle x² + y² + 16x - 16y + 124 = 0, we first need to rewrite it in standard form:

x² + 16x + y² - 16y + 124 = 0

(x² + 16x + 64) + (y² - 16y + 64) = -124 + 64 + 64

(x + 8)² + (y - 8)² = 4

Now we can see that the circle has center (-8, 8) and radius 2.

To graph it, we can plot the center point and then draw a circle with radius 2 around it.

Hence, the graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.

To learn more on Circles click:

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whats the product for (2z-3)^3

Answers

Answer:

8z^3-36z^2+54z-27

Step-by-step explanation:

(2z-3)^3

(2z)^3*(2z)^2*3+3*2z*3^2-3^3

8z^3-3*4z^2*3+3*2z*9-27

8z^3-36z^2+54z-27

Answer:

[tex]8z^3-36z^2+54z-27[/tex]

Step-by-step explanation:

[tex](2z-3)^3\\(2z-3)(4z^2-12z+9)\\2z(4z^2-12z+9)-3(4z^2-12z+9)\\8z^3-24z^2+18z-12z^2+36z-27\\8z^3-36z^2+54z-27[/tex]

What is the area of sector​ GPH?

Answers

Answer:

Area of GPH = pi x 15^2 x 40/360 = 78.54 (yd2)

Hope this helps!

Answer:

78.5 yards²

Step-by-step explanation:

Area of a sector:

Theta/360 × pi × r²

40/360 × 3.14 × 15²

78.5 yd²

15. Find the largest number which divides 70
and 125 leaving remainders 5 and 8,
respectively ​

Answers

Answer:

13

Step-by-step explanation:

70 - 5 = 65

125 - 8 = 117

Find the Greatest Common Divisor of 65 & 117

65 = 5 * 13

117 = 3 * 3 * 13

GCD = 13

13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively

The amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function: y = 8.50x - 5. After 2 months, the laundromat made 20 dollars, but the linear function predicted they would make 12 dollars. What is the residual value for this data?

Answers

Answer:

[tex] \hat y = 8.5*2 -5 = 12[/tex]

And the residual is defined as:

[tex] e_ i = y_i -\hat y_i [/tex]

And replacing we got:

[tex] e_i = 20-12 = 8[/tex]

Step-by-step explanation:

For this case we know that the amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function:

[tex] y = 8.50 x -5[/tex]

And fter two months we know that the laundromat made 20 dollars. And if we use the linear function we got:

[tex] \hat y = 8.5*2 -5 = 12[/tex]

And the residual is defined as:

[tex] e_ i = y_i -\hat y_i [/tex]

And replacing we got:

[tex] e_i = 20-12 = 8[/tex]

what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (-2, - 3) (-4, - 9)​

Answers

Answer:

The slope is 3

Step-by-step explanation:

The slope is 3 because when you set up the equation (-2,-3) is labeled as x1 and y1 and (-4,-9) is labeled as x2 and y2. When you set up the equation you get -9--3 / -4--2, which becomes -6/ -2, which then becomes -3/-3, which is really just 3. :)

The slope of the line given is 3.

What is a slope of a line?

Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

Given is a line passing through points (-2, -3) (-4, -9)​, we need to find its slope,

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:-

y₂-y₁ / x₂-x₁

Here, (x₁, y₁) and (x₂, y₂)  are (-2, -3) (-4, -9)​

So, the slope is = -9+3 / -4+2 = -6 / -2 = 3

Hence, the slope of the line given is 3.

Learn more about slopes, click;

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1. Find the volume of the rectangular prism.
4 ft
6 ft
8 ft

Answers

Answer:

192[tex]feet^3[/tex]

Step-by-step explanation:

The formula for the area of a rectangle is : [tex]length*width[/tex]

In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.

To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.

1) Multiply 6 by 4.

[tex]6*4=24[/tex]

2) Multiply 24 by 8.

[tex]24*8=192 feet^3[/tex]

Unit 5. 4) Please help. Marcie purchases a helium tank that contains 7.9 cubic feet of helium. Marcie is making a balloon display that contains 15 spherical balloons with a one-foot diameter. Will the helium tank provide enough helium for the display? Why or why not?

Use 3.14 for π in your calculations. Round your answer to the nearest tenth if necessary.

Answers

Answer:

The correct answer is option c.

9. What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter.
The figure is not drawn to scale.
8.8 cm
/
4.7 cm
13.1 cm
313.3 cm3
436.4 cm
541.8 cm3
681.5 cm3

Answers

Answer:

The answer is 541.8 cm³

Step-by-step explanation:

you just have to multiply the measures of each side:

(8.8)(4.7)(13.1) = 541.8

Solve the right triangle. Round decimal answers to the nearest tenth.
С
12
B
9
A
AB=
m M I need help

Answers

Answer:

15

Step-by-step explanation:

Use the Pytago theorem.

AB^2=AC^2+BC^2

AB^2= 9^2 + 12^2

= 225

AB = [tex]\sqrt225}[/tex]

= 15

can someone helpme please​

Answers

Answer: the first box is 1/5 since one of 5 squares are shaded.

The next box the answer is “there are 4 groups 1/5.

The next answer is 4/5

The last answer is 4/5

Step-by-step explanation:

Which function is the result of vertically shrinking ƒ(x) = (x + 1)2 by a factor of 1∕6?
Question 6 options:

A) ƒ(x) = (6x + 1)2

B) ƒ(x) = (1∕6x + 1)2

C) ƒ(x) = 6(x + 1)2

D) ƒ(x) = 1∕6 (x + 1)2

Answers

Answer:

[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Step-by-step explanation:

Vertical stretch or shrink

[tex]y=c \cdot f(x)[/tex]

a stretch by a factor of c if  c>1

a shrink by a factor of c if c<1

c is the factor

We are given that factor = 1/6 <1

So, Vertical shrink

So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]

We are given that [tex]f(x) = (x + 1)^2[/tex]

So,[tex]y=\frac{1}{6}(x+1)^2[/tex]

Option D is true

Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Answer:

ƒ(x) = (1∕6x + 1)^2

Step-by-step explanation:

what's the value of a cube if the length is 44 the height is 45 in The width is 43?​

Answers

Answer:

Step-by-step explanation:

Value of a cube = length*height*width

Value of a cube = 44*45*43

                          = 85140

I hope it'll help you much

Thank you for asking

PLEASE ANSWER THIS ASAP

Answers

Answer:

i really dont know

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The slope (rate of change) are 2/5 or .4 for both of them

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