what is the approximate radius of the bowl shown that is shaped as a hemisphere

What Is The Approximate Radius Of The Bowl Shown That Is Shaped As A Hemisphere

Answers

Answer 1

Answer:

Approximate radius of the given hemisphere is 3 in.

Step-by-step explanation:

Formula to calculate the volume of a hemisphere is given by,

V = [tex]\frac{2}{3}\pi r^{3}[/tex]

Since, volume of the given hemisphere in the picture = 56.52 in²

By substituting the value of V in the formula,

56.52 = [tex]\frac{2}{3}\pi r^{3}[/tex]

Now solve the expression for the value of 'r',

r³ = [tex]\frac{3}{2\pi }(56.52)[/tex]

r³ = 26.99

r = ∛(26.99)

r = 3 in.

Therefore, approximate radius of the given hemisphere is 3 in.


Related Questions

Find the equation of the line shown

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = B(- 3, - 1 ) and (x₂, y₂ ) = A (1, 7)

m = [tex]\frac{7+1}{1+3}[/tex] = [tex]\frac{8}{4}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 7 ) , then

7 = 2 + c ⇒ c = 7 - 2 = 5

y = 2x + 5 ← equation of line


Springs are used to measure the mass of objects. The extension of a spring, E centimeters, is
directly proportional to the mass, M kilograms, of the object hanging from the spring. A 4-kg
load stretches a spring by 2.5 cm. If a 6-kg load is hung on the spring, find the extension of the
spring in centimeters.

Answers

Answer:

The extension of the 6-kg load is 3.75 cm

Step-by-step explanation:

4/2.5 = 6/x

Cross multiply:

4x = 15

15/4 = x

x = 3.75

Find the perimeter and area of the rhombus.​

Answers

answer:

perimeter- 12 units

area- 4.5 units

step-by-step explanation:

perimeter-

p=4a

=4*3

=12

area-

a=pg/2

=3*3/2

=4.5

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

At track practice, Preston
practiced running the hurdles for 2
hours. Then he practiced the high
jump for 1 hour and 30 minutes. If
Preston's track practice ended at
1:30 P.M., what time did it start?

Answers

His practice started at 10:00 am

A right triangle has legs fand g. The length of f = 11 inches.m m angle G=73^ What is the length of leg g to the nearest tenth?

Answers

The length of leg g given the length of leg f and angle G in the right triangle is 36.3 inches.

What is the length of leg g ?

A right triangle is a 3 sided polygon that is made up of an hypotenuse. One of the angles measure 90 degrees.

G = Tan G x f

Tan 73 x 11

3.3 x 11 = 36.3 inches

To learn more about trigonometry, please check: https://brainly.com/question/22782564

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Help please will give brainiest
Write the equation of the line in Slope-Intercept Form.
(0,4) (3,2)

Answers

Answer:

y = -3/2x+ 4

Step-by-step explanation:

What is the median value of the data set shown on the line plot?

HELP ASAP

Answers

Answer:

Median: 6

Step-by-step explanation:

1,2,3,3,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,11

half of 22 (total numbers) is 11, on the 11th spot it is 6


Help I’ll give brainliest!

Answers

Answer:

-2.8

Step-by-step explanation:

Gradient/slope = [tex]\frac{-11 - 3}{3--2}[/tex] (change in y / change in x)

= [tex]\frac{-11 - 3}{3+2}[/tex] =[tex]\frac{-14}{5}[/tex]= -2.8

Cuanto de dos mas dos

Answers

Answer:

Probably 4

Step-by-step explanation:

My day was pretty great, so I felt like answering this question to help out in any way possible. I hope to hear about your day, too, soon!

A city manager made a scatter plot of the number of retail stores in a certain city over the years. The scatter plot had a trend line with an equation of y = 11x + 12, where y is the total number of retail stores and x is the number of years since 1990 Mark and his family moved to the city in 1997. Use the equation to predict how many retail stores there were in 1997.

Answers

If the number of the years will be 7. Then the number of the retail stores will be 89.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A city manager made a scatter plot of the number of retail stores in a certain city over the years.

The scatter plot had a trend line with an equation of y = 11x + 12, where y is the total number of retail stores and x is the number of years since 1990 Mark and his family moved to the city in 1997.

Use the equation to predict the number of retail stores there were in 1997 will be

The number of the years will be

x = 1997 - 1990

x = 7 years

Then we have

y = 11 × 7 + 12

y = 77 + 12

y = 89

More about the linear system link is given below.

https://brainly.com/question/20379472

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50 pt = ?gal

50 pt = ?pt

PLEASE HELPPPP ‍

Answers

Answer:

50 pints is 6.25 gallons.

What do you mean by the second one?

Step-by-step explanation:

50 ÷ 8 = 6.25

Answer:

50 pints is 6.25 gallons.

50 ÷ 8 = 6.25

Step-by-step explanation:

6+1+7+8+9+5+4+6+7+7+7+7+7

Answers

Answer:81

Step-by-step explanation: calculator cause I got Mind jambled-

Answer:

[tex]81[/tex]

Step-by-step explanation:

6 + 1 + 7 = 14

8 + 9 + 5 = 22

4 + 6 + 7 = 17

7 + 7 + 7 + 7 = 21.

now add all of the results together.

14 + 22 + 17 + 21 = 81

hence, the answer is 81.

Evaluate:
-6 ÷ 3
(-2)(-3)
8 - 4 ÷ -2
14 - 8 ÷ 4 × 0(5 - 3)

Answers

-6 ÷ 3=__

6 ÷ 3=2

-+2

=-2

(-2)(-3)=__

-2*-3

=6

8 - 4 ÷ -2=__

4÷-2=-2

8--2

=10

4 - 8 ÷ 4 × 0(5 - 3)

=4

hope this helped ○( ^皿^)っ

I need help in right triangle trigonometry can someone help we can text? There are 17 questions I need help with

Answers

Answer:

Okay, see, one or two questions I would help but doing your entire homework/test/quiz or whatever it is I don't think so. Why don't you at least try and then maybe i'll help.

Step-by-step explanation:

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces.

Which factorization could represent the number of water bottles and weight of each water bottle?

6(10x2 + 8x + 2)
12(5x2 + 4x + 2)
6x(10x2 + 8x + 2)
12x(5x2 + 4x + 2)

Answers

The answer is B. 12(5x^2+4x+2)

Answer: 12(5x2 + 4x + 2) is correct answer

Step-by-step explanation:

60x2 + 48x + 24  

if we take 6 as a common factor

6(10x^2+8x+4)     so first option is not true

if we take 12 as a common factor

12(5x2 + 4x + 2)

6x & 12x can not  be taken as common factor..

so the correct option is 2nd one..

A student has taken three math tests so far this semester. His scores for the first three tests were 65​, 67​, and 69. Suppose his test scores continue to improve at the same rate. What will be his grade on the sixth​ (and final)​ test? What will be his total score for all six​ tests?

Answers

Answer:

75

Step-by-step explanation:

Scores for his first tests were 65, 67, 69.

Rate of change: +2

y=2x+63; 63 is the 0th test he took, his first test was 65, so 65-2=63. 2x is the rate of change, his tests scores increase by 2 each time.

x=6, 6th test score

y=2(6)+63

y=12+63

y=75

So, on his 6th test he will get a score of 75

What is the length of the unknown
leg of the right triangle?

Answers

Answer:

2ft

Step-by-step explanation:

Someone answer this please

Answers

Answer:

x=41/2

Is the answer when y=9

The maintenance crew of a hotel has to monitor the temperature of the hotel pool and hot tub. To enhance comfort, the management team requests that the mean pool temperature and the mean hot tub temperatures not differ by more than 15 degrees. To estimate the difference in these mean temperatures the maintenance crew selects a random sample of 8 times to check the hot tub temperature and a random sample of 10 times to check the pool temperature. Although the sample sizes are small, the distribution of temperature for the pool and for the hot tub does not show strong skewness or any outliers. The mean pool temperature is 86 degrees with a standard deviation of 3 degrees. The mean hot tub temperature is 101 with a standard deviation of 1.8 degrees. What is the correct 95% confidence interval for the true difference in the population means (hot tub – pool)? Use the conservative df.

Answers

Answer: Option D

Explanation: 100%

The formula for the area of a circle is A = π r^2? Which equation shows the formula in terms of r?

Answers

The correct answer is C

20 people each bring 3 food dishes to an awards banquet. The dishes are shared equally by 180 people at the banquet. How many people share 1 food dish?

Answers

Answer:

3 people

Step-by-step explanation:

If 20 people each bring 3 food dishes to an awards banquet, the total amount of food brought will be (20 * 3) = 60foods

If the dishes are shared equally by 180 people at the banquet, then;

60foods = 180 people

1 food = x

Cross multiply

60* x = 180

60x = 180

x =180/60

x = 3

Hence 3 people will share 1 dish

20 points!!! Permutations and combinations question.

Answers

Answer:

7,9,10

hope it helps

have a good night

How do you find this answer?

Answers

Answer:

if we use Pythagorean method, we  could know that A^2+B^2=C^2, so 5^2+12^2 equals 169, and 169 is 13^2

Step-by-step explanation:

The perimeter of a rectangular school yard is 428 meters. It is 100 meters wide. How long is it?

Answers

Answer:

i dont think theres engouh info to answer that

Step-by-step explanation:

So first you want to do: 100(2)=200 then you subtract 200 from 428 which =228
Then do 228/2= 114
So the rectangle is 114 meters long

Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be

Answers

Answer:

$130,626.56

Step-by-step explanation:

Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be?

We are told that: She obtained a 25/8 balloon mortgage at 3.85%

This means the loan is amortized for 25 years and she would be monthly payment for 8 years before making the balloon payment.

Step 1

We find Monthly payments

Pmt = (A * i * (1 + i)ⁿ) / ((1 + i)ⁿ - 1)

Where:

Pmt - monthly payment;

A - Loan amount = $168,125

i - periodic interest rate = 3.85% = 0.0385

and

n - number of periods =

1 year = 12 months

8 years = x

x = 8 × 12 months = 96 months

n = 96 months

Pmt = (168,125 × 0.0385 * (1 + 0.0385)⁹⁶) / ((1 + 0.0385)⁹⁶- 1)

Pmt = $873.56

Step 2

When we find the monthly payment, we can compute the balance due after the term of a balloon loan.

B = (A * (1 + i)ⁿᵇ) - Pmt / i * ((1 + i)ⁿᵇ - 1)

Where:

B - Balloon payment

nb - Number of balloon loan periods =

Pmt - Monthly payment = $873.56

B = (168,125 × (1 + 0.0385)⁹⁶) - 873.56 / 0.0385 × ((1 + 0.0385)⁹⁶- 1)

B = $130,626.56

plz help with both questions (no link plz) 15 point and will make brainly

Answers

Answer:

question 5) 340.5

Step-by-step explanation:

abigails decorating buissness charge for every hour = $100+$13.50= 113.5

for 3 hour charges will be= 113.5 x 3= 340.5

hope it helps ❤️

i'll give you a brainliest for the correct answer lyy

Answers

Answer:

(-4,-5)

Step-by-step explanation:

[tex]x+4y=-24\\ x=-24-4y[/tex]

[tex]x=-24-4y\\ 4(-24-4y)-2y=-6\\ -96-16y-2=-6\\ 96+16+2=6\\ 18y=6-96\\ 18y=-90\\ y=\frac{-90}{18} \\ y=-5[/tex]

[tex]x=-24-4(-5)\\ =-24+20\\ =-4[/tex]

more of my brothers wwork for yalll have fun and tysm!

Answers

Answer: 3/4 x 48
3 x 12
= 36

Got 12 by reducing the numbers with the Greatest Common Factor (GCF) 4

Answer:

i cant wait to start are life together, with are son. im so thankful for u becca. ily

Step-by-step explanation:

PLEASE HELP! NO LINKS- I WILL MARK BRAINLIEST!

6) using this picture, find the side measure of side G.
A) 18
B) 27
C) 9 square root 3
D) 24

(I tried and the answer is NOT C, it’s either A, B, or D)

Answers

Answer:

B

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{g}{18\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2g = 54 ( divide both sides by 2 )

g = 27 → B

Bilbo found a great deal on rings. He bought a ring for 70% of the original price. If he saved $45, what was the original price?

Answers

Answer: $150

Step-by-step explanation:

If Bilbo bought the ring for 70% of the original price, this means that he saved:

= 100% - 70%

= 30%

$45 is therefore 30% of the original price.

Assuming the original price is x:

30% * x = 45

x = 45/30%

x = $150

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