If a sphere fits snugly inside a cube with 34-in edges. What’s is the approximate volume of the space between the sphere and cube

Answers

Answer 1
Answer:

The volume of the space between the sphere and cube is equal to the volume of the sphere subtracted from the volume of the cube:

V_{}=V_(cube)-V_(sphere)

The volume of a cube is:

V=s^3

s is the length of each edge in the cube

The volume of a sphere is:

V=(4)/(3)\pi\cdot r^3

The diameter of the sphere is equal to the edge of the cube, then, its radiusr is:

r=(s)/(2)

Then, the volume of the space between the sphere and cube is:

V=s^3-(4)/(3)\pi\cdot((s)/(2))^3

s is 34 in

\begin{gathered} V=(34in)^3-(4)/(3)\pi\cdot((34in)/(2))^3 \n \n V=39304in^3-(4)/(3)\pi\cdot(17in)^3 \n \n V=39304in^3-(4)/(3)\pi\cdot4913in^3 \n \n V=39304in^3-(19652\pi)/(3)in^3 \n \n V\approx18724.47in^3 \end{gathered}Then, the approximate volume of the space between the sphere and cube is 18724,47 cubic inches

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James walked 11 miles in 4 hours. If he walkedthe same distance every hour, how many feet
did he walk in one hour?
A 14,520 ft
B 21,120 ft
C 29,040 ft
D 58,080 ft
Help?

Answers

Answer:

A. 14,520 ft

Step-by-step explanation:

To start off this problem, we need to find how many miles James walks per hour. To do that, lets divide 11 by 4.

x=(11)/(4)

x=2.75

Next, since 5,280 feet are in a mile, we need to multiply 2.75 by 5,280:

x=2.75(5,280)

x=14,520

James walked 14,520 ft. in one hour.

A damsel in distress is being

Answers

Check the picture below.


make sure your calculator is in Degree mode.

A new television is on sale for $680.00, which is 20% off of its original price. What was the original price of the television?

Answers

x= original price
% off= 20%
Sale $= $680

STEP 1:
Find discount amount

Discount Amount= % off * Original $
= 20% * x
change % to decimal (% ÷ 100)
= 0.20 * x
= 0.20x

STEP 2:
Find sale price

Sale Price= Original $ - Discount
= x - 0.20x
= 0.80x

STEP 3:
Sale= $680= 0.80x
Solve for x

$680= 0.80x
divide both sides by 0.80
$680/0.80= x
$850= x

ANSWER: The original price is $850

Hope this helps! :)

In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sumof the other angles,
Which of the following could represent the measures of the three angles?
Ox, 2%, 4%
OX, 2x, 3x
OX, 2x, 2x

Answers

Answer:

x, 2x, 3x

Step-by-step explanation:

If we have angle x as one angle, and the 2nd angle is twice the angle, the 2nd angle will be 2x. If the 3rd angle is the sum of the 1st angle and the 2nd angle, we have 2x + x, which equals 3x.

WILL GIVE BRAINLIEST FOR THE RIGHT ANSWER!!!

Answers

ANSWE,LET two numbers be A and B then

A+B=52

A-B=14....linear equation in 2 variable

adding 2 eqns

2A=66... dividing both side by 2

A=33

and put A=33 in eqn A+B=52

B=52-33

B=19.

SO. LARGER NUMBER=33

Smaller number=19

Determine whether each ordered pair is a solution of the system.5-7x+2y2 =-10
1-5x-2y =-22

a) (-4,-6)
b) (6,4)

Answers

According to the system:

5 – 7x + 2y² = -10

1 – 5x – 2y = -22

______________

a) No ; (4, 6) is not a solution to the

system. This point does not touch either equation.

b) No ; (6, 4) is not a solution to the system. This point does not touch either equation.

Solutions:

( (122 - 3 √(101))/(25), ( - 7 +3 √(101))/(10)) ≈ (3.674, 2.315) \n ( (122  +  3 √(101))/(25), ( - 7  - 3 √(101))/(10)) ≈ (6.086, -3.715)

x = ( 122 ∓ 3√101 ) / 25 ≈ 3.674 or 6.086

y = ( -7 ± 3√101 ) / 10 ≈ 2.315 or -3.715