1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sholpan [36]
3 years ago
5

A cone has a volume of 602.88 cubic centimeters and a radius of 6 centimeters. What is its height? Use ​ ≈ 3.14 and round your a

nswer to the nearest hundredth.
Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

15.98cm

Step-by-step explanation:

Given data

Volume= 602.88cm^3

Radius= 6cm

The formula for the volume of a cone is

V= 1/3 πr^2h

substitute

602.88= 1/3*3.142*6^2*h

602.88=1/3*3.142*36*h

602.88=37.704*h

h= 602.88/37.704

h= 15.98cm

Hence the height is 15.98cm

You might be interested in
At 3:00 PM a man 138 cm tall casts a shadow 148 cm long. At the same time, a tall building nearby casts a shadow 199 m long. How
Elenna [48]

The answer is 51 Meters. I subtracted the man from the building and it's 51 meters.

3 0
2 years ago
Read 2 more answers
Let $f(x) = x^2 + 4x - 31$. for what value of $a$ is there exactly one real value of $x$ such that $f(x) = a$?
enot [183]

To solve for this, we need to find for the value of x when the 1st derivative of the equation is equal to zero (or at the extrema point).

So what we have to do first is to derive the given equation:

f (x) = x^2 + 4 x – 31

 

Taking the first derivative f’ (x):

f’ (x) = 2 x + 4

 

Setting f’ (x) = 0 and find for x:

2 x + 4 = 0

x = - 2

 

Therefore the value of a is:

a = f (-2)

a = (-2)^2 + 4 (-2) – 31

a = 4 – 8 – 31

a = - 35

7 0
3 years ago
Y is inversely proportional to x.
Inessa [10]

Answer:

1. xy = 63

2. y = 3

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

y\ \alpha\ \frac{1}{x}

Convert variation to equation

y\ = \frac{k}{x} ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

7 = \frac{k}{9}

Multiply both sides by 9

9 * 7 = 9 * \frac{k}{9}

63 = k

Substitute 63 for k in equation 1

y = \frac{63}{x}

Multiply both sides by x

x * y = \frac{63}{x} * x

xy = 63

Hence, the equation connecting x and y is xy = 63

Solving for when x = 21

Substitute 21 for x in the above equation

21 * y = 63

Divide both sides by 21

\frac{21 * y}{21} = \frac{63}{21}

y = 3

4 0
3 years ago
Can you help me with this it’s so confusing plz help me with both is this
mars1129 [50]

Answer:

First picture: -4,913

Second picture: 20.25

Step-by-step explanation:

-17^5/-17^2 = -17^3

-17 × -17 × -17 = -4913

4.5^5/4.5^3 = 4.5^2

4.5 × 4.5 = 20.25

Do you see how I had the same whole number on the top and bottom? (17 was on top and 17 was on bottom)

The exponents were those tiny numbers you saw.

Whenever you are dividing by the same whole number (-17/-17), you can subtract exponents.

When you multiply the same whole number, you can add the exponents.

Hope this helps! Best of luck :)

5 0
3 years ago
A pair of jeans is marked up 20% on the original price. The original price was $50. What is the sale price of the pair of jeans
Anarel [89]

Answer:

20% of $50 is $10. This means that the pair of jeans now cost $60 since it got marked up.

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • After every ninth visit to a restaurant you receive a free beverage. After every twelfth visit you receive a free appetizer. If
    11·1 answer
  • Solve for X <br><br> A:4<img src="https://tex.z-dn.net/?f=%5Csqrt%7B7%7D" id="TexFormula1" title="\sqrt{7}" alt="\sqrt{7}" align
    5·1 answer
  • Cos xcos y=1/2(sin(x+y)+ sin(x-y))
    12·1 answer
  • Hey can someone please help 15 points
    15·1 answer
  • Complete the recursive formula of the arithmetic sequence -3,-1,1,3
    5·1 answer
  • All of the following are diagonals of the solid except<br><br> AS<br> BT<br> AC<br> CQ
    5·1 answer
  • Pls pls help me with this
    11·2 answers
  • Find the surface area of the shape below. Answer in NUMBERS only, NO units. Round your answer to the nearest tenth.
    9·1 answer
  • Help ASAP no Rocky:))
    7·1 answer
  • Why is the rate of change of a slope secant and not tangent
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!