Reagan just received a new soccer ball that she ordered in the mail. The spherical soccer ball

arrived in a box shaped like a rectangular prism, and the remaining space inside the box was

filled by packing material. The box is 14 inches long, 11 inches wide, and 10 inches tall. If the

soccer ball has a diameter of 8.7 inches, what was the volume of space in the box filled by

packing material?

Answers

Answer 1

Answer:

1540 square in-17.4π in

Step-by-step explanation:

The box's area is 1540 square inches, and the volume of a sphere is 4πr. So we do 4*π*r, which is 4π*4.35, and simplify it to 17.4π. Then we subtract that from the 1540 square in to get the final answer of 1540-17.4π

Reference: π is approximately 3.1415926


Related Questions

is it 290 or 70 is conjugate angle

Answers

A conjugate angle is 360°, 360-70=290!

what is -5/2 divided by 5/7

Answers

Step-by-step explanation:

1) -5/2 = -2.5

2) 7/5 = 1.4

-2.5 ÷ 1.4 = -1.785....

Hope this helps!

Please help, will give Brainiest!
There is a direct proportionality between volume and temperature (in Kelvin) of a gas. The volume of a sample of a gas at 277 Kelvin is 2.1883 L.

Which of the following shows a direct variation equation relating the volume V and the temperature T?

Options:

1. V= 0.0079T

2. V= 126.6T

3. T=606.2V

4. T= 0.0079V

Answers

Answer:

2.  V= 126.6T4. T= 0.0079V

Explanation:

V = kT

[ where k is constant ]

277 = k(2.1883)

k = [tex]\frac{277}{2.1883}[/tex]

k = 126.6

Therefore: V = 126.6T

Vk = T

277k = 2.1883

k = 2.1883/277

k = [tex]7.9 * 10^{-3}[/tex]

V * [tex]7.9 * 10^{-3}[/tex] = T

T = 0.0079V

Therefore T = 0.0079V

Help pls …..———
:….—-

Answers

Answer:

a/

36s ~ 360º

1s ~ ?

so 1 * 360 / 36 = 10º

b/

36*3/4=27s (closest)

36*1/4=9s (farthest)

c/

20ft

Answer:

a) 10°

b) closest:  27 seconds

farthest: 9 seconds

c) 20 ft

Step-by-step explanation:

a) Angles around a point add up to 360°, therefore 1 rotation = 360°

If it makes one rotation in 36 seconds, then there are 10° per second as  360/36 = 10

b) closest to wall:  this will be a 3/4 rotation:

3/4 of 36 seconds = 0.75 x 36 = 27 seconds

farthest from wall:  1/4 rotation:

1/4 of 36 = 0.25 x 36 = 9 seconds

c) 18 seconds is half of 36 seconds.  Therefore, you will have made a 1/2 rotation.  So you will be on the same horizontal plane as the start position, but on the opposite side of the circle (see attached diagram).

Therefore, you will be 20ft away from the wall (shown in blue).

What is the range of g(x)?

1.all real numbers
2. All real numbers less than 0
3. All real numbers greater than 0
4.all real numbers less than or equal to 0

Answers

Answer:

2

Step-by-step explanation:

I just need for the points

-Brainliset pls help :)

Answers

Answer:

D

Step-by-step explanation:

A recursive formula lets us calculate a term in the sequence by multiplying the previous term by the common ratio r

for the sequence

- 3, 9 , - 27 , 81....

the common ratio r is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3

Then the recursive formula is

f(n) = - 3 f(n - 1) if n > 1

f(1) = - 3

option D

Answer:

D)

Step-by-step explanation:

A recursive formula always has two parts: the value of an initial term (or terms), and an equation defining [tex]a_n[/tex]​​ in terms of preceding terms.

From inspection, the initial term is -3

[tex]\implies a_1=-3[/tex]

[tex]\implies f(1)=-3[/tex]

From inspection, we can see that each term is the preceding term multiplied by -3.  Therefore, the sequence can be defined as:

[tex]a_n=-3(n-1)[/tex]

[tex]\implies f(n)=-3f(n-1)[/tex]

So the recursive formula for the sequence is D)

[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)}} \right.[/tex]

20 points please help me out

Answers

Answer:

Step-by-step explanation:

Vertical angles are opposite angles made by intersecting lines.
Any of these would apply: 1,6 or 2,5 or 3,8 or 4,7

Supplementary angles are two angles that add up to 180. Any two angles that are side by side are 180. For example 1,2 or 4,8 etc..

Answer:

supplementary = <5 and <1

vertical = <5 and <2

Euclid Street is parallel to Lambert Street. City Hall is
located between the streets. From City Hall, a straight
road leads to Euclid Street, intersecting it at a 51°
angle. Another straight road leads to Lambert Street,
intersecting it at a 37° angle. Find X. EXPLAIN and
show your method.

Answers

Answer:

  88

Step-by-step explanation:

Imagine a line through City Hall parallel to the given streets. The angle between that and the path to Euclid Street is 51°, congruent with the alternate interior angle marked 51°.

The angle between our imaginary line and the path to Lambert Street is 37°, congruent with the alternate interior angle marked 37°.

The value of x° is the sum of those two angles:

  x° = 51° +37°

  x = 88

__

Alternate solution

If you extend the path to Euclid Street until it intersects Lambert Street, the alternate interior angle theorem tells you the angle it makes with Lambert Street is 51°. The angle x° is an external angle to the triangle that now has 51° and 37° as remote interior angles. As such, x is the sum of 51 and 37:

  x = 51 +37 = 88

Please please please please help I need help

Answers

y = 3.3x because the pizza guy can deliver 1 pizza in 3.33 minutes, and it's asking to show an equation representing the faster deliverer (burger guy is slower because he can only do 1 delivery per 5 mins)

A line passes through the point (2,7) and has a slope of 9. Write an equation in slope-intercept form for this line.

Answers

Hi there!

We are given a point that the line passes through and the slope of the line, so we can use Point-Slope Form:

[tex]\mathrm{y-y1=m(x-x1)}[/tex]

In this case, y₁=7, m=9, and x₁=2.

Plug in the values:

[tex]\mathrm{y-7=9(x-2)}[/tex]

Now, turn it into Slope-Intercept:

[tex]\rm{y-7=9x-18[/tex]

Move -7 to the right:

[tex]\rm{y=9x-18+7}[/tex]

Add:

[tex]\rm{y=9x-11[/tex] (Answer)

Hope it helps!

Enjoy your day/night!

Please feel free to ask if you have any doubts.

-Sparkles-

3 over 8 by x
Solve "x"
A: 5 over 64
B: 5 over 9
C: 1 over 6
D: 3 over 4

Answers

Answer: 1 is correct

2 is correct

3 is correct

4 is correct

5 is correct

6 is correct

7 is correct

8 is wrong it should be because you wouldn't add you would subtract it and the other number is negative so it would be x=-26

9 is correct

10 is correct

13 is correct

14 I think is correct

I think 15 is incorrect because if he says one less than twice the number of last year then I think you first should subtract 1 from 25 and then divide by 2 this would give you  17 packages

and I think 16 is correct too.

Hope this helped

Step-by-step explanation:

What is the value of y? Please list steps by steps and the reasonings.

Answers

Answer:

y = 6

Step-by-step explanation:

Line QM is the midsegment of KJ and if KP is 9 and PJ is 3 then KJ is 12 so that means QM is half of line KJ because of midsegment therom so QM is 6

Solve 4p^2 – p=0.
p=____, p=_____

Answers

Answer:

p= 0

p= 1/4

............

The sum of Kyra's and Caleb's ages is 37. Caleb's age is equal to twice the quantity of Kyra's age decreased by 4. Let k represent Kyra's age.



Complete each expression to represent the situation.



Kyra's age: , 1 of 3.
Select Choice
years



Caleb's age: , 2 of 3.
Select Choice
(k − , 3 of 3.
Select Choice
) years

Part B
Add the two expressions and set this sum equal to 37 to model the situation with an equation. Solve for k. How old is Kyra?

Answers

Based on the given conditions, formulate:
Rearrange unknown terms to the left side of the equation:
Combine like terms:
Calculate the sum or difference:
Divide both sides of the equation by the coefficient of variable:
Answer: k=41/3

7x- 3(x- 6) = 30
A. X=3
B.x=9
C.x=6
D.x=12

Answers

Answer:

x=3

Step-by-step explanation:

1. Simplify the expression

7x-\left(3\cdot\left(x-6\right)\right)=30

Solve by distributing:

7x-\left(3x+3\cdot-6\right)=30

Simplify the arithmetic:

7x-\left(3x-18\right)=30

Expand the parentheses:

7x-3x+18=30

Simplify the arithmetic:

4x+18=30

A. x=3 I know this bc I took the test

20 points
PLS Help ;0

Answers

A) (x+12) + (5x) = 180
B) <1= 38. <2=130

25°
y
х
30°
x= [ ? 1°

Answers

Answer:

hello

how are you?

x=125

y=55

the sames line on the graph has how many solutions

Answers

Answer:

The same lines have infinite many solutions.

Step-by-step explanation:

Hope that helps!

A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going to be built around the outside edge of the pool path. A circle has a radius of 28 feet. A larger circle goes around the smaller circle that is 4 feet wide. About how many feet of fencing are needed to go around the pool path? Use 3. 14 for Pi. 88 ft 100 ft 176 ft 201 ft.

Answers

There is 201 feet of fencing are needed to go around the pool path.

Given

A circular swimming pool has a radius of 28 ft.

There is a path all the way around the pool that is 4 ft wide.

A fence is going to be built around the outside edge of the pool path.

A circle has a radius of 28 feet.

A larger circle goes around the smaller circle that is 4 feet wide.

Circumference;

For the length of the fence, we need to find the circumference of the outside of the pool path.

The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.

= 28 + 4 = 32 feet

The radius is then equal to 32 feet.

The circumference of the outer edge of the pool path would be equal to the perimeter;

[tex]\rm Perimeter = 2\pi r[/tex]

Where r is the radius.

Substitute all the values in the formula;

[tex]\rm Perimeter = 2\pi r\\\\\rm Perimeter = 2\times 3.14 \times 32\\\\Perimeter = 201[/tex]

Hence, there is 201 feet of fencing are needed to go around the pool path.

To know more about perimeter click the link given below.

https://brainly.com/question/6465134

Answer:

D; 201 is correct

Step-by-step explanation:

Edge

What is the the fraction 1 over 500 as a decimal?

Answers

Answer:

What is 1/500 as a decimal? To write 1/500 as a decimal you have to divide numerator by the denominator of the fraction. So the answer is 0.002

Step-by-step explanation:

Im smart lol

Answer:

0.002

Step-by-step explanation:

I hope this helps!!!

Brainliest?

A teacher wants to find the average (mean) grade on a math test. The gradebook program can provide data about the class as a stem-and-leaf plot or as a box-and-whisker plot. Which plot should she use? Why?

Answers

Answer:

Box-and-whisker plot

Step-by-step explanation:

Box-and-whisker plot is a graph commonly used to not only find the mean but find the minimum, maximum, third and first quartile. In order to calculate the mean of a set of data, you have to rearrange the data and the middle number separating one half of the set, from the other half of the set is the mean. Box-and-whisker plot can accurately show the average grade on this math test.

Hope this helps.

Use the given right triangle to find​ ratios, in reduced​ form, for sinA, cosA, and tanA.

Answers

Answer:

SinA=P/H

CosA=B/H

TanA=P/B

Hypotenuse=85

Perpendicular=13

Base=84

SinA=13/85

CosA=84/85

TanA= 13/84

I think it will help you.

12. Raul invests $6500 at a simple interest rate of 4%. How much will he earn
after six years?
Pleaseeee helpppp

Answers

Answer:

$1,560

Step-by-step explanation:

Interest = Principal x Interest Rate x Time (in years)

I = 6500(.04)(6)

I = 1560

Sector Area Lvl 1: In circle F with m

Answers

Answer:

75.01 sq units

Step-by-step explanation:

Here,

[tex]\theta=m\angle EFG=86\degree[/tex]

[tex]r=EF=10\: units [/tex]

[tex]Area\: of \:sector= \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} \\ \\ = \frac{ 86 \degree}{360 \degree} \times 3.14\: {(10)}^{2} \\ \\ = \frac{86 \times 314}{360} \\ \\ = 75.01 \: {units}^{2} [/tex]

What are angles r? and G?
Please help (NO BOTS!)

Answers

Step-by-step explanation:

given:- M=35

to find :- r and g

r=90

m=35 let G be = x

m+r+g=180

35+90+x=180

125+x=180

x=180-125

x=55

hope this helps you

have a nice day :)

The junior class sold boxes of pecans at $6 each and boxes of peanuts at $5 each. They sold a total of 82 boxes for $440. How many boxes of pecans and peanuts did they sell?


I NEED THE EQUATIONS...I can get the number of pecans and peanuts..I just need the equation to find them..please help me
This is Algebra

Answers

Answer:

Following are the required equations

[tex]x +y=84[/tex]

[tex]6x +5y=440[/tex]

Step-by-step explanation:

Let x boxes of pecans and y boxes of peanuts sold.

Total no of boxes sold = 84

[tex]\implies x +y=84[/tex]

Cost of one box of pecan =$6

So, cost of x boxes of pecans =$6x

Cost of one box of peanuts = $5

So, cost of y boxes of peanuts =$5y

Total sales = $440

[tex]\implies 6x +5y=440[/tex]

if 6 pennies are in each pile, how many pennies are in nine piles?

Answers

Answer:

54

Step-by-step explanation:

6 pennies per pile x 9 piles = 54 pennies

Answer:

54 pennies

Step-by-step explanation:

6 pennies = 1 pile

6 x 9 = 54

a
Johnny throws a football off the balcony to his buddy on the ground. The
position of the ball in the air can be modeled by the equation
16t2 + 176t + 192 , where t represents the time and y represents the
height above the ground.
b.) How high does the football go in the air?

Answers

Answer:

Johnny ‎football ‎balcony ‎176t +

Step-by-step explanation:

Y=x+16
X^2+y^2=128
Find the intersection of the line and the circle

Answers

Answer:

(-8, 8)

Step-by-step explanation:

Plug in the y from the top equation into the y of the bottom equation

x² + (x + 16)² = 128

x² + x² + 32x + 256 = 128

Subtract 128 from both sides to make it equal to zero

2x² + 32x + 256 = 128

                 - 128    - 128

2x² + 32x + 128 = 0

Divide both sides by 2

(2x² + 32x + 128)2 = 0/2

x² + 16x + 64 = 0

Factor the equation

(x + 8)(x + 8) = 0

We see that x will have to be -8 for it to equal zero

so x = -8

Plug the new x into one of the original equations; let's use the top one

y = -8 + 16

y = 8

please answer this aces and experts and if you just spam words as a answer i will report you to a moderator

Answers

Answer:

C. [tex]\frac{1}{3}y-\frac{7}{5}x+\frac{2}{3}-\frac{2}{3}y-\frac{4}{9}[/tex] matches with [tex]-\frac{2}{3} y -\frac{3}{5} x+\frac{2}{9} -\frac{4}{5} x+\frac{1}{3} y[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3} y -\frac{3}{5} x+\frac{2}{9} -\frac{4}{5} x+\frac{1}{3} y[/tex]

[tex]-\frac{3}{5}x+\frac{2}{9}-\frac{4}{5}x=-\frac{7}{5}x+\frac{2}{3}-\frac{4}{9}[/tex]

[tex]-\frac{3}{5}x+\frac{2}{9}-\frac{4}{5}x=\frac{2}{9}-\frac{7}{5}x[/tex]

[tex]-\frac{3}{5}x-\frac{4}{5}x=-\frac{7}{5}x[/tex]

[tex]-\frac{3}{5}x-\frac{4}{5}x+\frac{7}{5}x=-\frac{7}{5}x+\frac{7}{5}x[/tex]

[tex]0=0[/tex]

matched coefficients of x and y, therefore found the answer.

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