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

prove that 7^N+5 is divisible by 6

Answers

Answer:

12/6=2

Step-by-step explanation:

If you set n=∞ it approaches zero

Therefore [tex]7^0+5=12[/tex]

El seño Alonso pidió prestado dinero a una tasa del 8% anual . Si el cargo por interéses ese año es de $360 cuánto recibirá de préstamo?

Answers

Answer:

$ 4500

Step-by-step explanation:

Dejar;

Principal sea P

El tiempo sea T

Tasa sea R

Interés sea yo

De la pregunta;

R = 8%, T = 1 año, I = $ 360, P =?

De;

I = PRT / 100

100I = PRT

P = 100 I / RT

P = 100 * 360/8 * 1

P = $ 4500

How much will this trash can hold? It is 4 feet tall and has abase radius of 1 foot.
______ cubic feet

Answers

Answer:

3 is the answer

Step-by-step explanation:

hope it will help you

A sector with a radius of 12 cm has an area of 607 cm. As = 607 cm r = = 12 cm What is the central angle measure of the sector in radians?​

Answers

Answer:

the answer is 607 divided by 12 which is going to give you 50,53

What’s 1+1

A:2
B:21
C:69
D:420

Answers

Answer:

2 because 1 is the smallest number so if you add 1 and 1 then that is 2

Answer:

ITS 2.

Step-by-step explanation:

So if you had one doggy and you got another doggy, you would have two doggies! A lot of people mistake this by saying 11, but I know its 2.

HELP pls help I will give brainiest

Answers

Answer:

3. True

4. False

5. A

Step-by-step explanation:

How do you solve this?

Answers

Answer: A. 85.5 square feet

Step-by-step explanation: Hope this help :D

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

I'm not sure but I think its a

mples: Find the area of
16 ft

Answers

sorry bro i really need the points i hope u find it tho

Answer:

201.1

Step-by-step explanation:

πx8²=201.1

∛44x-7 -5=0 find the x

Answers

Answer:

x = 3.

Step-by-step explanation:

(∛44x - 7) - 5 = 0

Cube the expression.

44x - 7 - 125 = 0

Subtract.

44x - 132 = 0

Add 132 to both sides.

44x = 132

Divide by 44.

x = 3.

Proof:

(∛44x - 7) - 5 = 0

(∛44(3) - 7) - 5 = 0

(∛132 - 7) - 5 = 0

(∛125) - 5 = 0

5 - 5 = 0

0 = 0

So I have to factor polynomials by grouping

The question: 2m^3-2m^2+3-3m

The answer is supposed to be: (2m^2-3)(m-1)

I do need steps

Thx

Answers

Answer:

(2m^2-3)(m-1)

Step-by-step explanation:

2m^3-2m^2+3-3m

2m^3-2m^2-3m+3

2m^2(m-1)-3(m-1)

(2m^2-3)(m-1)

Answer:

(2m^2-3)(m-1)

Step-by-step explanation:

2m^3-2m^2+3-3m

=(2m^3-2m^2)+(3-3m)

=2m^2(m-1)+3(1-m)

=(m-1)(2m^2-3)

=(2m^2-3)(m-1)

I’m struggling on question C

Answers

One way to find the midpoint is to start at either endpoint (A or B), and count how many spaces it takes to get to the other endpoint. You should count exactly 5 spaces. This means that the midpoint will have us travel 5/2 = 2.5 spaces when we start at either endpoint and walk to the other side.

If we start at point A and move 2.5 units up, then we'll arrive at (-2, 1.5)

If you start at point B (where the red x is) and move 2.5 units down, you'll get to (-2, 1.5)

The midpoint is located at (-2, 1.5)

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

Another method is to use the coordinates of A and B. Point A is located at (-2, -1) and point B is located at (-2, 4)

Focus on the x coordinates for now only. The x coordinates are -2 and -2, so they are the same in this case. Adding them up leads to -2+(-2) = -4. Then we divide by 2 to get -4/2 = -2. It turns out that if the coordinates are the same, then adding them up and dividing by two leads to the same coordinate value.

Now move onto the y coordinates. Points A and B have y coordinates of -1 and 4 respectively. They add to -1+4 = 3 and that cuts in half to 3/2 = 1.5

The results of -2 and 1.5 we got in the previous two paragraphs then immediately lead to the midpoint's exact location of (-2, 1.5)

Serena's rabbit weighs 3 1/2 pounds. Jarod's rabbit weighs 3 times as much as Serena's rabbit. How much does Jarod's rabbit weigh?

Answers

The answer would be Jarod’s rabbit weights 10.5 pounds

HELP 15 POINTS
Write a rule for the nth term of the sequence. Then find a20 -
51,48,45,42

Answers

Answer:

45 because it is what I think

Briefly explain the roles and relationships that exists amongst the producers, consumers, and decomposers in an ecosystem such as an ocean.

Answers

*They are all organisms* producers make their own food through a process called photosynthesis, decomposers get energy and nutrients to breaking down the remains of other living organisms and consumers get energy and nutrients by eating other organisms. Hope that helped:)

The roles and relationships that exist amongst the producers, consumers, and decomposers in an ecosystem is described by the food chain.

What is an ecosystem?

The meaning of ecosystem is the complex of a community of organisms and its environment functioning as an ecological unit.

Producer is an organism that produces its own food e.g. photosynthesis in plants. Also known as the base of the food-chain.

Consumer is an organism that consumes (eats) either a producer or another consumer e.g. animals will solely eat plants (herbivore), solely animals (carnivore), or a combination of both (omnivore).

Studies are showing that most animals are omnivores. Even pre-concluded herbivores or carnivores are found to eat a small variety of both plants and animals in a pinch. E.g. a deer would eat a baby bird if it found it on the ground.

Decomposers are organisms that 'eat' and break up dying/decaying material e.g. earthworms and fungi.

All of this together is the food cycle.

Learn more about ecosystem, click;

https://brainly.com/question/13979184

#SPJ3

You have just planted a new tree. To support the tree, you attach a wire from the trunk of th tree to a stake in the ground. Each wire has a length of 7 feet. Suppose you put the stakes in the ground 5 feet from the base of the trunk. Approximately how far up the trunk should you attach the wires?

Answers

Answer: 4.9 ft

Step-by-step explanation:

Given

Length of wire [tex]l=7\ ft[/tex]

Stake is at a distance of [tex]5\ ft[/tex] from the base of tree

suppose wire is attached y ft  above the base of tree

from the figure, we can write

[tex]\Rightarrow 7^2=5^2+y^2\\\Rightarrow y^2=49-25\\\Rightarrow y=\sqrt{24}\\\Rightarrow y=4.89\approx 4.9\ ft[/tex]

HELP ASAP (please no link or reported) will give brainleast!!!

Answers

Answer: SA=33ft^2

have an amazing day <3

I hope this helped and was right

suzanne is running a 5km race. so far she has ran 1,250m. how many more meters does she need to run to complete the race?

Answers

Answer: 3750 m

Step-by-step explanation:

Remember that there are different units; one is in km and the other is in m

I’ll go from km to m

1 km = 1000 m

Therefore 5 km = 5 x 1000 m

5km = 5000 m

Now, we just subtract to find how much more Suzanne have to run

5000 m - 1250 m = 3750 m

Lucia compro 12 pares de media a 60 pesos cada una 7 remeras a 156 pesos cada una y 2 pantalones a 350 pesos cada uno.Si pago con 3000 pesos¿le sobro o le falto dinero?¿cuanto?

Answers

Answer:

A Lucia le sobró dinero y la cantidad que sobró es: 488 pesos.

Step-by-step explanation:

Para determinar si le faltó o le sobro dinero, debes determinar el costo total de lo que compró multiplicando el precio de cada artículo por la cantidad comprada y sumando estos valores:

(60*12)+(156*7)+(350*2)=720+1092+700=2512

Dado que pagó con 3000 pesos y el costo total de lo que compró es de 2512 pesos y este valor es menor que 3000 en 488 pesos, la respuesta es que le sobró dinero.

what is 3/8 plus negative1/2

Answers

Answer:

-1/8

Step-by-step explanation:

write all numerators above the least common denominator 8

3-4/8

calculate the product

-1/8

Answer:

negative 1/8 or 0.125

Step-by-step

-1/2 cancells out the plus, so it is just 3/8 - 4/8 = -1/8

A grocery store sells a bag of 5 oranges for $3.10. If Ishaque spent $2.48 on oranges, how many did he buy?

Answers

4 Oranges, 310 divided by 5= 64, 64 times 4=248.

PLZZZ HELPPPP WILL MARK BRAINLIEST

Answers

Answer: 1

Heres why: If you subtract the 1 from 2 you get 1

Brainliest and 15 points will mark brainliest if you have a correct response to my question and people that give irresponsible answers get their account reported.

Answers

Answer:

Part A: One.

Part B: (3, 5)

Step-by-step explanation:

Part A: A solution to a pair of equations is generally where the two functions intersect. As we can see, a graph is provided, so things are facilitated. We can see that they only intersect once, which means only one answer.

Part B: The solution, which as we have learned is where the two lines intersect, is (3, 5), as that is, again, the point of intersection.

A line passes through the points (4, -1) and (2,3). What is the slope of the line?
-2. 2
1/2
-1/2

Answers

Answer:

-2

Step-by-step explanation:

To find the slope of a line with 2 given points, you use the formula

m=y2-y1/x2-x1

Now you plug in the points which would be m=3-(-1)/2-4 which equals m=4/-2

4/-2 equals -2

The slope is -2

Please help me out with this :) and explain if you can

Answers

Answer:

there are twelve total combinations

Step-by-step explanation:

just by looking at the problem though,

ABCD

AB

AC

AD

BA

BC

BD

CA

CB

CD

DA

DB

DC

normally, because some of them are repeated, we need to get rid of some

AB

AC

AD

BC

BD

DC

since this is about passwords though, we need to keep all of the same twelve combinations because the order of the letters are important

This is the question I'm having trouble with in math class

Answers

Answer:

c

Step-by-step explanation:

ik

Dionte needs to make at least $140 over winter break to pay back his parents. If he makes $15 per sidewalk that he shovels for, how many sidewalks must he shovel to meet his goal?

Answers

15 dollars from 1 sidewalk

140 dollars from ? sidewalks

140/15 =9.333(bar)

Dionte needs to shovel 10 sidewalks

Someone help me im struggling!!

Answers

Step-by-step explanation:

SI = P × R × T / 100

= 56780 × 3 × 3 / 100

= 5110.2

Use the given function to find the indicated value(s) of x. (Enter your answers as a comma-separated list.)
For f(x) = √2x + 2 − √x + 18, find x such that f(x) = −1.

Answers

Answer:

For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;

-0.757, -17.5

Step-by-step explanation:

Given that the function is f(x) = √(2·x + 2) - √(x + 18)

The value of 'x' when f(x) = -1, is given as follows;

-1 = √(2·x + 2) - √(x + 18)

-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19

2·x² + 38·x + 36 = (3·x + 19)/2

2·x² + 38·x + 36 - (3·x + 19)/2 = 0

4·x² + 73·x + 53 = 0

From which we get;

x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)

x ≈ -0.757, and x ≈ -17.5

!!!!!!NEED HELP ASAP BRAINLIEST REWARD!!!!!!

a. Provide two independent events that you know the probability of.

b. Explain how you know these events are independent.

c. Find the probability that they both occur.

a. Provide two dependent events.

b. Explain how you know these events are dependent.

c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.

example below:

Answers

Step-by-step explanation:

!!!!NEED HELP ASAP BRAINLIEST REWARD!!!!!!

a. Provide two independent events that you know the probability of.

b. Explain how you know these events are independent.

c. Find the probability that they both occur.

a. Provide two dependent events.

b. Explain how you know these events are dependent.

c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.

example below: xD xD XD xD xD

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