The roof of castle is in the Shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (Use PE= 3. 14 )

Answers

Answer 1
V=1/3 * 3.14 * r^2 * 12
V= 1/3 * 3.14 * (3*3) *12
V= 113.04

Related Questions

help me with this
forgot how to do it

Answers

Answer:

C =113.04 ft

Step-by-step explanation:

[tex]C = 2\pi \: r \\ \\ \implies C =2(3.14)(18) \\ \\ \implies C =113.04 \: ft[/tex]

The State Board of Education has $1,742 to buy new calculators. If each calculator costs $2, how many calculators can the board buy?

Answers

Answer:

871

Step-by-step explanation:

The State Board of Education can buy 871 calculators with the available budget.

Here, we have to find out how many calculators the State Board of Education can buy,

We have to divide the total amount they have ($1,742) by the cost of each calculator ($2):

So, we get,

Number of calculators = Total amount / Cost per calculator

Number of calculators = $1,742 / $2

Number of calculators = 871

So, the State Board of Education can buy 871 calculators with the available budget.

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7. Square numbers, such as 1, 4, 9, etc., can be formed by adding consecutive add made beginning with 1. Which is NOT an example of this fact? 1 + 3 + 5 1 +3 + 5 + 7 1+3 + 5 + 7 +9​

Answers

The first answer! :)))


GLAD I CAN HELP.

Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.


What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place

Answers

We will see that the linear equation is:

y = 1.1*x  -13.5

b) The predicted height is 164.7cm

How to get the linear equation?

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, the line passes through (165, 168) and (174, 178), then the slope is:

a = (178 - 168)/(174 - 165) = 10/9 = 1.1

Then the line is:

y = 1.1*x + b

To get the value of b, we use one of the given points, for example if we use the first one (165, 168) we must have x = 165 and y = 168, replacing that we get:

168 = 1.1*165 + b

168 -  1.1*165  = b = -13.5

The equation is:

y = 1.1*x  -13.5

Now we want to find the height of a person with an arm span of 162cm, then we replace x by 162 to get:

y = 1.1*162 -13.5 = 164.7

The predicted height is 164.7cm

If you want to learn more about linear equations, you can read:

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Patrick added 1/4 teaspoons of cayenne pepper and 1/3 teaspoons of black
pepper to his enchilada sauce. What is the total amount of the two spices that
Patrick added to his sauce?

Answers

Find the lowest common denominator and add.
1/4 or 3/12 of cayenne + 1/3 or 4/12 of black pepper = 7/12 teaspoons of spices total

Find the zeros of the function f(x) = x² + 49.​

Answers

Answer:

does not have

Step-by-step explanation:

the function will never equals zero. because x² is always a positive number. The minimum is 49.

Answer:

no step-by-step answer

x= 7 and x= -7

9. A car is being tested for reliability on a
track by driving at a constant speed. The
car has traveled 150 miles in 3 hours.
a. Complete the table below.

b. If the car breaks down 4.5 hours into
the test and has to stop for a repair
before continuing, what ratio(s) of
distance to time would be affected?

c. How would you expect the ratio to
change? Explain your reasoning.

Help anyone???

Answers

Answer:

Step-by-step explanation:

See attached image.

Three friends decide to rent an apartment and split the cost evenly. they each paid $640 towards the total move in cost of first and last month's rent and a security deposit. if rent is $650 per month, how much was the security deposit? a. $10 b. $207 c. $620 d. $1,270

Answers

The total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.

What is a monthly payment?

The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount or the rent of a service charged monthly.

The rent of the apartment is $650 per month. The rent for the two months (first and last) is,

[tex]\rm M = 2\times 650\\\\M =1300[/tex]

This rent is paid by three friends. Thus, the amount which is paid by an individual friend is,

[tex]\rm P=\dfrac{1300}{3}\\\\P=433.33[/tex]

They each paid $640 towards the total move-in cost of first and last month's rent and a security deposit. Therefore,

[tex]\rm P=640-433P=206.67\\\\[/tex]

Thus, $206.67 is paid by each of them towards security deposits. The total amount of security deposit, deposited by 3 of them, is,

[tex]\rm SD=206.67\times 3\\\\SD=620.01[/tex]

Hence, the total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.

Learn more about the monthly payment here;

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Answer:

Option C

Step-by-step explanation:

I got it right on the test

plewse help me i need help!!?

Answers

Answer:

A

Step-by-step explanation:

[tex] - \frac{4}{3} \times \frac{4}{1} = - \frac{1}{3} [/tex]

Hope this helps

Last week, Harry ran 5 laps around the lake. Sophia ran 1 5/6 times as many laps around the lake as Harry did. How many laps around the lake did Sophia run?

Answers

Answer:

9 1/6 laps

Step-by-step explanation:

1 5/6 * 5   = 11/6 *5  = 55/6 = 9 1/6

HELP PLS!!!! I would appreciate it <333

A circle has a circumference of 26 millimeters. What is the circle's
radius? Use 3.14 for pi and round your answer to the nearest tenth

Answers

Answer:

4.1

Step-by-step explanation:

it was right sooo

For what values of a make each expression true. |a|=-a

Answers

Answer:

a=0

Step-by-step explanation:

Frank is 6 years older than his brother Joe. The sum of their ages is 38. How old is Joe AND Frank?

Answers

Answer:

Joe is 16, Frank is 22

Step-by-step explanation:

To find the solution to this problem, we first divide 38 by two.

38 / 2 = 19.

Then, we subtract 6 from 19 and have 19 and 13.  Obviously, 19 is 6 more than 13 (19 - 13 = 6).  Now, we need to make sure our number on the left is always 6 more than the number on the right.  19 + 3 = 22, 13 + 3 = 16.  Since Frank is older than Joe by 6 years, we get 22 and 16 as their ages.

What is the solution to 2x2 8x=x2-16? x=-4 x=-2 x=2 x=4

Answers

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The equation is given below.

2x² + 8x = x² - 16

Then on simplifying, we have

       x² + 8x + 16 = 0

x² + 4x + 4x + 16 = 0

      (x + 4)(x + 4) = 0

              (x + 4)² = 0

                        x = -4

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

Step-by-step explanation:

help me please need help

missing lengths​

Answers

Step-by-step explanation:

For example ............

Answer:

4. y=3√2 and x=36

Step-by-step explanation:

Here,

interior angle of triangle = 180°

So, 90°+45°+45°=180°

Therefore, the triangle is isosceles triangle

So,

y=3√2 (the corresponding sides of corresponding angle of isosceles triangle are equal)

Again, x^2=(3√2)^2 + (3√2)^2

or, x= √(18 + 18)

or, x=√36

or, x=6

Simplify the given polynomial expressions as much as possible.


(3x - 6)(8x + 2)

Answers

Answer:

Step-by-step explanation:

Remark

All you can really do is remove the brackets. Use FOIL

Solution

First: 3x*8x = 24^2

Outside: 2* 3x = 6x

Inside: -6*8x = - 48x

Last: -6*2 = - 12

Answer

24x^2 + 6x - 48x - 12

24x^2 - 42x - 12

Which term describes the red curve in the figure below?
A. Hyperbola
B. Parabola
C. Ellipse
D. Circle

Answers

Answer:

Hyperbola

Step-by-step explanation:

Sorry if incorect

Hope this helps

3. Triangle ABC with AB = 3 cm, LABC = 40°,
=
and Z BAC = 70°.

Construct a triangle with the given conditions

Answers

Answer: Right angled triangle

Step-by-step explanation: Find attached in the picture

Use the Distributive Property to solve the equation.
3(x-6)+6=5x-4

what is x?

Answers

Answer:

x = -4

Step-by-step explanation:

1) Distribute

3(x - 6) + 6 = 5x - 4

3x - 18 + 6 = 5x - 4

2) Add the numbers

3x - 18 + 6 = 5x - 4

3x - 12 = 5x - 4

3) Add 12 to both sides

3x - 12 = 5x - 4

3x - 12 + 12 = 5x - 4 + 12

4) Simplify

Add The Numbers:

3x - 12 + 12 = 5x - 4 + 12

3x = 5x - 4 + 12

Add the numbers:

3x = 5x - 4 + 12

3x = 5x + 8

5) Subtract 5x from both sides

3x = 5x + 8

3x - 5x = 5x + 8 - 5x

6) Simplify

Combine like terms:

3x - 5x = 5x + 8 - 5x

-2x = 5x + 8 - 5x

Combine like terms:

-2x = 5x + 8 - 8

-2x = 8

7) Divide both sides by each factor

-2x = 8

-2x/-2 = 8/-2

8) Simplify

Cancel terms that are in both the numerator and denominator:

-2x/2 = 8/-2

Divide the numbers:
x = 8/-2

x = -4

Solution:

x = -4

Q4
Find the diameter of a circle if the length of the arc with subtended angle 175° is 12 cm.
(Use it in your calculator.)
1750
B

Answers

Answer:

: L = r * θ = 15 * π/4 =

Step-by-step explanation:

(f-g)(x) f(x)=6x-7 g(x)=9x-4

mcgraw hill algebra 1 chapter 8 lesson 1 question 20

Answers

Step-by-step explanation with the answer:

Use the given functions to set up and simplify (f−g) & (x) . -3 x -3

i need help question below :)

Answers

Answer:

8 mins - 5hrs - 8 mins  (all of the answers are in order btw).

The function, f(n) = 70n – 400, models the profit of the instructor of a guitar class per month, where n is
e number of students enrolled in the class.
How many students must be enrolled in the class for the instructor to make a profit?
ow many students must be enrolled in the class if the instructor needs to make $1,000.00 profit per
onth?

Answers

Using the given function, it is found that:

6 students need to be enrolled for the instructor to make a profit.20 students must be enrolled for the instructor to make a profit of $1,000 a month.

What is the profit function?

The profit when n students are enrolled in the class is given by:

f(n) = 70n - 400.

A profit is made when f(n) > 0, hence:

70n - 400 > 0

70n > 400

n > 5.71.

6 students need to be enrolled for the instructor to make a profit.

A profit of $1,000 is made when f(n) = 1000, hence:

70n - 400 = 1000

70n = 1400.

n = 20.

20 students must be enrolled for the instructor to make a profit of $1,000 a month.

More can be learned about functions at https://brainly.com/question/25537936

Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the function:

f(n) = 70n - 400

To make a profit, f(n) > 0, hence:

70n - 400 > 0

n > 6

For a profit of $1000:

70n - 400 = 1000

n= 20

Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.

Find out more on equation at: https://brainly.com/question/2972832

You roll a number cube one time. What is the probability that you roll a 6 or 4? Enter your answer as a fraction in simplest form.

Answers

Answer:

1/3 because there are 6 numbers on a number cube and the probability of rolling a 6 or 4 is 2/6 and simplified it would be 1/3

Step-by-step explanation:

if it is right, please mark as brainliest

Classify the number as natural, whole, integer, rational, and/or irrational. select all terms that are correct. natural whole integer rational irrational 4,563 natural – 4,563 whole – 4,563 integer – 4,563 rational – 4,563 irrational – 4,563

Answers

The given number 4,563 is a natural, whole, integer, and rational number.

What are the different types of numbers?

A number is a fundamental component of mathematics. there are different types of numbers such as whole numbers, integers, natural numbers, rational and irrational numbers, etc.

Whole numbers are numbers such as 0, 1, 2, ... This is a whole number.

Natural numbers can also be counting numbers. They are the whole numbers but starting at 1, not 0.

Integers are whole numbers with negatives.  This is an integer.

Rational numbers are any numbers that can be written as a fraction.  

We can write this as 4563/1, so it is rational.

Learn more about numbers;

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Assume there are 365 days in a year. (40 points!!!) NEED HELP ASAP will mark brainlist
-What is the probability that ten students in a class have different birthdays?
-What is the probability that at least ten students in a class share their birthday?

Answers

check out brainly.com/question/7567074, same question, verified answer

please helppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

So here, ABCD is being inscribed in a circle, so ABCD is a cyclic quadrilateral (as inscribed in a circle) also, there exists a property of cyclic quadrilateral, i.e, the sum of opposite angles of a cyclic quadrilateral is 180°, so we can just write the following equation using this :

[tex]{:\implies \quad \sf y^{\circ}+83^{\circ}=180^{\circ}}[/tex]

[tex]{:\implies \quad \sf y^{\circ}=180^{\circ}-83^{\circ}}[/tex]

[tex]{:\implies \quad \sf y^{\circ}=97^{\circ}}[/tex]

[tex]{:\implies \quad \boxed{\bf{y=97}}}[/tex]

The polynomial equation x cubed minus 4 x squared 2 x 10 = x squared minus 5 x minus 3 has complex roots 3 plus-or-minus 2 i. what is the other root? use a graphing calculator and a system of equations. –3 –1 3 10

Answers

The negative one is the third root of the equation x³ - 4x² + 2x + 10. Then the correct option is B.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The polynomial equation is given below.

[tex]\rm x ^3-4 x ^2+2 x+ 10 = x ^2 -5 x-3[/tex]

The equation can be written as

[tex]\rm x ^3-5 x ^2+7 x+ 13 = 0[/tex]

The equation has a complex root [tex]- 3 \pm 2 \iota[/tex]

Put x = -1, then we have

[tex]\begin{aligned} (-1) ^3-5 (-1) ^2+7 (-1)+ 13 = 0\\\\-1 - 5 - 7 + 13 = 0\\\\0=0 \end{aligned}[/tex]

The equation is satisfied by the negative one. Then the negative one is the third root of the equation.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

B on edge

Step-by-step explanation:

because B is -1

how do you find the area of a polygon in a coordinate plane?

Answers

Answer: Use this formula

Area = (number of sides × length of one side × apothem)

Step-by-step explanation: The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

Gina rolls a six-sided die, numbered 1 to 6. She wants to find the probability of
rolling a number less than 6. The size of the sample space is 6, because Gina can
roll any of the six numbers on the die. What is the size of the event space?
The size of the event space is
The solution is

Answers

Answer:

5/6

Step-by-step explanation:

thats what it is

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