The volume V of a cone varies jointly as the area of the base B and the height
h. V = 32 cm, when B = 16 cm2 and h = 6 cm. Identify h when
V = 60 cm3 and B = 20 cm2.

Answers

Answer 1

Answer:

h = 9 cm.

Step-by-step explanation:

V = kBh   where k is the constant of variation.

From the given info:

32 = k*16*6 = 96k

So k = 32/96 = 1/3.

So we have the equation of variation:

V = 1/3Bh

When V = 60 B = 20, so:

60 = 1/3 20h

20h = 60 * 3 = 180

h = 180 /20 = 9.


Related Questions

Kira brought chocolate and vanilla cupcakes to school for her birthday. 80 students decided to take a cupcake, and 32 of them picked vanilla. What percentage of the students picked a vanilla cupcake?

Answers

Answer:

40%

Step-by-step explanation:

Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100

(32 / 80) x 100 = 40%

I am probably really dum, but this is hard for me, so can someone help me pls??? (will give brainliest if u have good answers <3)

Answers

1. Yes

2. Yes

3. No

4. Yes

have an amazing day <3

Harry is reading a book that is 597 pages long. He tells a friend that he is about 2/3 of the way done. About how many more pages must Harry read before he finishes the book? PLEASE HELP MEEEEE!!

Answers

Answer:

Harry needs to read 199 more pages

Step-by-step explanation:

2/3 x 597 = 398

597 - 398 = 199

7. Giovanni made the design below for an art project. What is the area of the drawing? 13 in. 5 in. 4in.​

Answers

Answer:

75 in^2

Step-by-step explanation:

Given data

From the figure

We can see a rectangle and a triangle

The area of the rectangle is

Area= L*W

Area= 13*5

Area= 65 in^2

Area of the triangle

Area= 1/2b*h

Area= 1/2*4*5

Area= 2*5

Area= 10 in^2

Hence the area of the composite figure is

Area= 65+10

Area= 75 in^2

Little help on this?

Answers

Answer:

c

Step-by-step explanation:

Answer:

(4,8) , is not a solution of the linear equation

hope it helps

54 can be divided with no remainder by which of the following numbers 2 3 4 5 6 9 10​
LINKS WILL BE REPORTED NOT HAVING IT

Answers

Answer:

6 and 9

Step-by-step explanation:

6 x 9 = 54

2) A block of cheese weighs 0.6 kg. The block is cut into smaller pieces. Each piece weighs 0.05 kg. How many pieces are there? (Show the division equation to solve for this word problem before showing multiplication to solve.)

Answers

Answer:

12

0.6/0.05

(0.6 x 100) / (0.05 x 100)

= 60/5 = 12

Step-by-step explanation:

number of pieces = total weight of the cheese / weight of each piece

0.6 / 0.05

to divide easily, convert the decimals to whole number by multiply both the denominator and numerator by 100

(0.6 x 100) / (0.05 x 100)

= 60/5 = 12

A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is filled to three-quarters of its height, what is the volume of the gas in the container, to the nearest tenth of a cubic inch.

Answers

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

The equation t= 6 + wrepresents the relationship between the number of weeks and the total amount saved.

TRUE OR FALSE
AND WHY

Answers

True hahahahahahahahahhahahahah

Answer:

hello my followers and my

Which of the following is the solution to the equation 64^(z+4) = 1024

Answers

2^(6*(z+4)) = 2^10

6z + 24 = 10
z = -7/3

Select all the correlation coefficients that represent a linear model with a weak correlation .
A. -0.982
B. -0.618
C. -0.103
D. 0.204
E. 0.907
F. 1

Answers

Answer:

C) -0.103 and D) 0.204

Step-by-step explanation:

A linear model with a weak correlation is gonna have an r value closest to 0, whether it be negative or positive. C and D seem to be the best choice as they're closest to 0.

answer for brainlest and 10 points

Answers

Answer: Rational

Explanation:

Any number that can be written as a fraction or mixed number is rational.

57.63004 can be written as [tex]57\frac{63004}{100000}[/tex] , therefore it is rational.

Angle E and angle H are supplementary. If angle E has a measure of 156 degrees, find the measure of angle H

Answers

Answer:

24 degrees

Step-by-step explanation:

Supplementary angles sum up to give 180°

E + H = 180°

156 + H = 180

H = 180 - 156

H = 24°

The circumference of a fire is 96 inches. Determine the radius of the tire. Use 3 for TT.​

Answers

Answer:

radius is 16 inches

Step-by-step explanation:

C = 2πr

96 = 2(3) r

16 = r

At the shop , there were 4 1/10 kg apples and 6 3/4 kg of oranges . If cumtomers bought 7 3/5 kg of apples and oranges , how many kg of apples and oranges were left

Answers

Answer:

3 1/4

Step-by-step explanation:

total kg of apples and oranges in the store =

[tex]4\frac{1}{10} + 6\frac{3}{4}[/tex]

[tex]10\frac{4+30}{40}[/tex]

[tex]10\frac{34}{40}[/tex]

kg left after the sales

[tex]10\frac{34}{40} - 7\frac{3}{5}[/tex]

[tex]3\frac{34 - 24}{40}[/tex] = [tex]3\frac{10}{40}[/tex]

To transform to the simplest form. divide both the numerator and the denominator by 4

3 1/4

A shirt is originally priced at
$
24.50
. The shirt goes on sale for
30
%
off the original price. How much money, to the nearest cent, does the shirt cost including
7
%
tax on the sale price?

Answers

Answer:

$18.35

Step-by-step explanati

Your Welcome

I need help I will give brainliest I promise

Answers

Answer:

1/4 is the answer

Step-by-step explanation:

First, we see that the total students is 20 & the students who got 6 or 7 is 5.

5/20 = 1/4

1/4 = 25%

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi=3.14 in any formulas used.

Answers

Answer:

Perimeter of the entire shape is 114.24

Step-by-step explanation:

Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24

Answer:

Perimeter of the entire shape is 114.24

Step-by-step explanation:

Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi-circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24

***YOU WILL EARN 35 POINTS IF YOU ANSWER THIS ***

Answers

Answer:I’m not sure maybe the 2nd one!:))Mahelps a lot!!

Answer:

The answer is B. 10^3

Help plzzzzz help me

Answers

Answer: 10 < x < 60, or x is from 10 to 60

Step-by-step explanation: A domain of a graph consists of all of the input values shown on the x-axis while the range consists of all of the output values shown on the y-axis. Since the question asks to find the domain, you should look at the values of the graph from left to right. The domain includes all real numbers. Notice the black horizontal line on the graph and match up the beginning of it and the end of it with the values on the x-axis. The line begins at an x-value of 10 and ends at an x-value of 60; therefore, the domain (x-values) is from 10 to 60.

if the ratio of type O to non-type O donors at a blood drive was 37:43. how many would be type O out of 300 donors? will try and mark brainliest . please show the work as well

Answers

Answer:

Step-by-step explanation:

Proportion of type O donors = 37/(37+43) = 37/80

300 × 37/80 = 138.75

139 donors out of 300 are type O.

A ratio shows us the number of times a number contains another number. The number of type O donors out of 300 is 139.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that the ratio of type O to non-type O donors at a blood drive was 37:43. Therefore, the number of type O blood donors be represented by 37x and the number of non-type O blood donors be represented by 43x.

Now, the sum of type and non-type O donor is 300. Therefore, we can write,

37x + 43x = 300

80x = 300

x = 3.75

Further, the Number of type O donors out of 300 can be written as,

Number of type O donors out of 300 = 37x = 37(3.75) = 138.75 ≈ 139

Hence, the number of type O donors out of 300 is 139.

Learn more about Ratios here:

https://brainly.com/question/1504221

#SPJ2

Don't worry it's not a virus just listen to it it's cool

Answers

Answer:

I dunno if i typed it wrong it says video unavailable.

Step-by-step explanation:

HELPPP WHAT IS THE ANSWER DONT SENT A FILE PLZ EXPLAIN STEP BY STEP PLZ I DINT HAVE A LOT OF TIME

Answers

Answer:

2nd option

Step-by-step explanation:

Consider the coordinates of T(- 3, 3 ) → T' (3, - 1 )

- 3 → 3 is 6 units right in the positive  x-direction

3 → - 1 is 4 units down in the negative y- direction

Then translation rule is

(x, y ) → (x + 6, y - 4 )

The answer should be the 2nd option

14 yd

Area Formula= base x height

Base = 7 yd X 2yd Height= 14 yd

Volume = Area of base x height

Answers

Answer:

The volume is 196 cubic yards

Step-by-step explanation:

Given

[tex]Base\ Area = 7yd * 2yd[/tex]

[tex]Height = 14yd[/tex]

Required

The volume

The volume is given as:

[tex]Volume = Base\ Area * Height[/tex]

Where:

[tex]Base\ Area = 7yd * 2yd[/tex]

[tex]Height = 14yd[/tex]

So, the equation becomes

[tex]Volume = 7yd * 2yd * 14yd[/tex]

[tex]Volume = 196yd^3[/tex]

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

Yes.

Step-by-step explanation:

Yes.   Because opposite angles are congruent.

Answer:

yes

Step-by-step explanation:

because opposite angles are congruent

Examine the balanced equation for the reaction between lead(I) nitrate and sodium chloride.
Pb(NO3)2 + 2NaCl → 2NaNO3 + PbCl2
If 10.0 g of sodium chloride react with excess lead(II) nitrate, what mass of lead(II) chloride will be produced?
0 20.8 g
O 23.8 g
O 47.68
O 95.28

Answers

I think the answer is B

find the area of each circle (use pi =3.14)

16mm ​

Answers

Answer:

200.96

803.84

Step-by-step explanation:

I wasn't sure if 16mm was the radius or diameter. If it's the diameter then use the first answer. If it was the radius then use the second answer.

In order to find the area of a circle use equation

[tex]A=\pi r^2[/tex]

r = radius, which is half of the line along the circle. If you have the diameter simply divide it by two and you have the radius.

I need help, please!!!!!!!!!!!!

Answers

Answer:

Its d!!!!!! Welcome!

Step-by-step explanation:

What are the factors of 2x^2 - 10x + 12 ?
1) (x + 2) and (x + 3)
2) (x-2) and (x - 3)
3) (x + 6) and (x - 1)
4) (x - 6) and (x + 1)

Answers

The answer for your problem is going to be 4

CAN SOMEONE HELP PLEASE

Answers

Point of intersection where the two lines meet is at (3, -2)

Answer:

Point of intersection where the two lines meet is at (3, -2)

Step-by-step explanation:

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