What is the radius of a hemisphere with a volume of 885 in^3, to the nearest tenth of
an inch?

Answers

Answer 1

Answer:

The desired radius is r = 7.5 inches

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³.  A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.

We know that the volume of the hemisphere is 885 in³:

885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.

This is equivalent to:

885 in³ = (2π/3)r³.

We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):

(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³

Then r³ = 422.556 in³

Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:

r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)

The desired radius is r = 7.5 inches


Related Questions

Sailor Sheftat
Angle Terminology with Equations
Aug 03, 8:01:46 AM
?
ZA and B are complementary angles. If mZA= (6x – 4)º and m
ZB = (x + 17), then find the measure of ZA.
BE
Answer:
Submit Answer
attempt 1 out of 2
Pls help

Answers

Answer:

Does the answer help you?

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 10, 10, 8, 4, 5, 7, 7, 4, 3, 10.
A. 4
B. 10
C. 7
D. 6

Answers

Answer:

I think 10 is the correct answer.

The Inquartile range of the data set that consists of those numbers is D.6

For several weeks, the function f(x) = 3(4) * represented the number of birds infected with an illness x weeks after the first birds became sick. How did the number of sick birds change each week? ​

Answers

Answer:

Step-by-step explanation:

The number of sick birds grew by a factor of 4 each week.  In other words, the number of sick birds quadrupled each week.

made this question as soon as possible ​

Answers

Answer:

Step-by-step explanation:

x = 52°

I need help ASAP!!!Please explain the answer

Answers

Answer:

The formula for area is length times width.

it's 8m long, and 6m wide. When we multiply it, we get 48m that is for one side of the cube, so we count how many sides there is. There's 6, so we multiply 6 times 48 and the complete surface area for the whole cube is 288m

The answer to this problem

Answers

Answer:

x = 12°

y = 1.4 cm

Step-by-step explanation:

1. Because the two triangles are similar, their corresponding angles are congruent.

so

3x + 14 = 50

Subtract 14 from both sides

3x = 36

Divide both sides by 3

x = 12

x = 12° (remember units)

Check work:

3(12) + 14 = 50

36 + 14 = 50

50 = 50

2. Because the two triangles are similar, their corresponding sides are in equal proportion.

Two sides of triangle ABE are

5.6 and 4

And two corresponding sides of triangle ACD are

5.6 + y and 5

So

5.6 / 4 = (5.6 + y) / 5

Cross multiply

5.6 * 5 = 4(5.6 + y)

Multiply 5.6 * 5 on the left

28 = 4(5.6 + y)

Distribute the 4 to each term

28 = 4*5.6 + 4*y

Simplify the right side

28 = 22.4 + 4y

Subtract 22.4 from both sides

5.6 = 4y

Divide by 4 on both sides

1.4 = y

y = 1.4 cm (remember units)

Check our work:

5.6/4 = (5.6 + 1.4)/5

1.4 = 7/5

1.4 = 1.4

Rewrite the fraction with the indicated denominator

Answers

Answer:

170

Step-by-step explanation:

17/7

Multiply the top and bottom by 10

17*10/ 7*10  =170/70

The fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].

The given fraction is[tex]\frac{17}{7}[/tex].

Convert the fraction with a denominator of 70.

To do this, multiply the numerator and denominator by 10:

[tex]\frac{17}{7} \times \frac{10}{10}[/tex]

[tex]=\frac{17 \times 10}{7 \times 10}[/tex]

[tex]=\frac{170}{70}[/tex]

Hence, the fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].

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#SPJ6

I need help right now PLEASE!! !Please explain your answer

Answers

Answer:

Step-by-step explanation:

Need help with this VOCAB ASAP!!!PLEASE MAKE SURE U KNOWN ITS RIGHT

Answers

Answer:

inscribed polygon

congruent

hope that helped :)

given m||n find the value of x

Answers

Answer:

x = 127

Step-by-step explanation:

The angles are alternate exterior angles  and alternate exterior angles are equal when the lines are parallel

x = 127

1.) You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 1.4 feet long, if the remaining piece needs to be 1.17 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.

2.) You are looking at your power bill for the month, you pay 13 cents per kilowatt-hour. Your power bill came out to $83.96 homes many KWH of energy were used in your house this month?

3.) you were looking at your power bill for the month, you pay nine cents per kilowatt hour. Running a 60 W lightbulb for one hour is .0 6 KWH, if you leave a light on all the time that has 5 lightbulbs in it how much would that cost in a 30 day month? answer in the form of $2.54 without the dollar sign

Answers

Here we have 3 general algebraic problems that we need to solve. Using simple reasoning we can solve these.

1) L = 4.4 ft

2) This month you used 645.85 KW-h in your home.

3)Cost =  $19.44

1) You will buy a board of length L.

You will cut two pieces that are 1.4 ft long.

So at this point, the length of the board piece is:

L - 1.4ft - 1.4ft = L - 2.8ft.

Now, you want this to be 1.17 times longer than 1.4ft, then we need to solve:

L - 2.8ft. = 1.17*(1.4ft) = 1.638ft

L = 1.638ft + 2.8ft = 4.438ft

Rounding to the nearest tenth, we get:

L = 4.4 ft

This is the length of board you should buy.

2) Here we know:

You pay $0.13 per KW-h

This month, you pay a total of $83.96

The total number of  KW-h you used is equal to the quotient between the total amount you paid and the price of a single KW-h, this is:

N = $83.96/$0.13  = 645.85

This month you used 645.85 KW-h in your home.

3) Here we know:

You pay $0.09 per KW-h.

Running the bulb for one hour consumes 0.06 KW-h

So, if you leave one of these lights on all day (24 hours) it would consume:

24*0.06 KW-h = 1.44 KW-h

If you instead leave 5 of these bulbs, you will consume 5 times that amount:

5*1.44 KW-h = 7.2 KW-h

This is in one single day, if you do this for 30 days, the total consumption is:

30* 7.2 KW-h = 216 KW-h

And you pay $0.09 for each one of these, then the cost is 216 times $0.09

Cost = 216*$0.09 = $19.44

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Answer:

This will help for more:

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Step-by-step explanation:

k12

Find the following measure for this figure.
3
The volume for this figure??

Answers

Answer:

24

Step-by-step explanation:

Volume of a cuboid = length*base*height or 4*2*3=24. The volume of this cuboid is 24.

I NEED HELP ASAP!!!PLEASE EXPLAIN THE ANSWER

Answers

Answer:

Below

Step-by-step explanation:

To find surface area, you can just find the area of each side and add them up!

11 ft x 9 ft x 2 = 198 ft^2 (this is the surface area of the front and back)

12 ft x 9 ft x 2 = 216 ft^2 (this is the surface area of the sides)

12 ft x 11 ft x 2 = 264 ft^2 (this is the surface area of the top and bottom)

Surface area = 198 + 216 + 264

                      = 678 ft^2

Hope this helps! Best of luck <3

Someone please help fasttt!!

Answers

Answer:

the slope is -1/4 throughout the line.

Step-by-step explanation:

the slope of a line never changes anywhere on the line. otherwise it would not be a line.

the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.

and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).

therefore -1/4

Answer:

3rd option

Step-by-step explanation:

The line has the same slope over the whole line

Calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)

m = [tex]\frac{3-0}{-12-0}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex]

The slope is - [tex]\frac{1}{4}[/tex] throughout the line

Consider the functions F and G in the tables below
PLEASE HELP PLEASE

Answers

Answer:

Option A, As x increases, the rate of change exceeds the rate of f

In a mathematics class, half of the students scored 79 on an achievement test. With the exception of a few students who scored 49, the remaining students
scored 78. Which of the following statements is true about the distribution of scores?
A. The mean is greater than the mode.
B. The mean is greater than the median.
C. The mean and the median are the same.
OD. The mean is less than the median

Answers

Answer:

i went with mean is less than median

Step-by-step explanation:

other website lol

Write an equation of the line. What is the equation of the line?

Answers

Answer:

y=-1

Step-by-step explanation:

As the line is horizontal in nature and pass through (2,-1), the equation is y=-1

Find the area of the shaded region

Answers

Answer:

12 sq. units

Step-by-step explanation:

The formula for finding the area of a triangle is a = 1/2bh, or 1/2 times base times height.

To do this, multiply the base (6) and height lengths (4). This gets you 24.

But we're not done. You must then multiply by 1/2, which is the same a dividing by 2/1 or 2. 24/2 = 12. Slap on the unit of measurement and you've got your answer.

For the polynomial, (((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)
a. Determine the coefficient of x^3.
b. Determine the coefficient of x^6.
c. Determine the constant of the term
polynomial.
d. Determine the degree of the polynomial.

Answers

Answer:

Hello,

Step-by-step explanation:

[tex](((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\[/tex]

11) MZHGF = 16x + 4, m EGF = 110°,
and MZHGE = 3x + 11. Find x.
G
H
F
E

Answers

Answer:  x = 9

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

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

--------------------

Extra info (optional section)

Use this x value to find each angle shown below

angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degreesangle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

9514 1404 393

Answer:

  11) x = 9°

  13) x = -12°

Step-by-step explanation:

11) ∠HGE +∠EGF = ∠HGF

  (3x +11) +(110°) = (16x +4)

  117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms

  9° = x . . . . . . . . . . . . divide by 13

__

13) ∠BCF +∠FCD = ∠BCD

  (x +78) +(x +41) = 95°

  2x = -24°

  x = -12°

Can you help me on 19?

Answers

Answer:

7+k=0

7-0=k

k=7

Step-by-step explanation:

7+k=0

7-0=k

k=0

Please help me ill give brainliest!!​

Answers

Answer:

3744.64

Step-by-step explanation:

To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.

Answer:

cylinder= A=πr²h

=3.14×4²×9

=452.16

rectangle=A=l×w×h

=19×11×11

=2299

total area=452.16+2299

=2751.16

Step-by-step explanation:

A rectangle has an area of 16x + 24. What could the length and width of the rectangle be?
a. 2 and 8x + 12
b. 2x and 20
c. 4 and 10x
d. 8x and 2 + 3x

Answers

Answer:

a. 2 and 8x + 12

Step-by-step explanation:

16x + 24

Factor out 2

2(8x+12)

Area is length times width

2 * (8x+12)

Answer: a. 2 and 8x + 12

Step-by-step explanation:

Area of a rectangle is length times width.

(2)(8x+12) = 16x + 24

HURRY ASAP 80 (I NEED THIS ANSWER BY TONIGHT OR TOMORROW)
Discussion Topic
Is there more than one way to find the slope of a line? If so, describe both methods of solving for slope.

Answers

Answer:

yes there are more than one ways to find slope of a line.

Step-by-step explanation:

When both the points are given of same line we may use formula to find slope.

If equation of line is given we can convert it into slope intercept form and then we can find slope.

How to find the absolute value of |2b+4| with b=-8

Answers

Step-by-step explanation:

the absolute value simply removes a negative sign, if there is one. if there is no negative sign, it leaves the argument untouched.

so, we need to calculate the argument first :

2b + 4 = 2×-8 + 4 = -16 + 4 = -12

|-12| = 12

that's it.

I need help right away ASAP!!!Please help me please finding the missing angle

Answers

[tex]\\ \sf\longmapsto tan\Theta=\dfrac{P}{B}[/tex]

[tex]\\ \sf\longmapsto tan40=\dfrac{48}{x}[/tex]

[tex]\\ \sf\longmapsto 0.8=\dfrac{48}{x}[/tex]

[tex]\\ \sf\longmapsto 0.8x=48[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{48}{0.8}[/tex]

[tex]\\ \sf\longmapsto x=60[/tex]

Answer:

x = 57.2

Step-by-step explanation:

first : the third angle is (the sum of all angles in a triangle is always 180 degrees) : 180 - 90 - 40 = 50 degrees.

law of sines :

x/sin(50) = 48/sin(40)

x = 48 × (sin(50)/sin(40)) = 57.2


In algebraic expression

Three-fourths the square of a number.

Answers

Answer:

3/4x^2

Step-by-step explanation:

Answer:

[tex] \frac{3}{4} \sqrt{x} [/tex]

where 'X' is the number

Step-by-step explanation:

hope this helps

Circles in the Coordinate Plane
Acellus
Complete the equation of this circle:
А
1

Answers

Answer:

(x -+2)² + (y - 4)² = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 2, 4) and r = 6 , then

(x - (- 2))² + (y - 4)² = 6² , that is

(x + 2)² + (y - 4)² = 36 ← equation of circle

Question 1 of 10
What was part of President Johnson's plan for Reconstruction?
O A. Land for freedmen
B. Pardons for Confederate leaders
C. Pardons for carpetbaggers
D. Voting rights for freedmen
Joelvin

Answers

Answer:

B

Step-by-step explanation:

Pardons for Confederate leaders

Shelly charges $10 per hour for her babysitting servives. Last month Shelly babysat for 15 hours. This month she babysat for n hours.

a. Write an expression using parentheses to describe how much money she made.

b. Given that n=12, evaluate your expression using the distributive property.​

Answers

Answer:

A.  10(15) + 10n = $ made for babysitting

B. $270

Step-by-step explanation:

B. 10(15) + 10(12)

150 + 120 = $270

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