A cone has a height of 6 inches and a radius of 7 inches. What is the volume? Keep your answer in terms of pi.

Answers

Answer 1

Answer:

V≈307.88in³

Step-by-step explanation:

V=πr2h

3=π·72·6

3≈307.87608in³

Answer 2

Answer:

[tex]98\pi[/tex]

Step-by-step explanation:

The formula of the volume of a cone is given by [tex]V=\frac{\pi r^2h}{3}[/tex], which, applying the values yields [tex]V=\frac{\pi 7^26}{3} = 98\pi[/tex]


Related Questions

Find the value of p if the mean of the following distribution is 20.

X:- 15 17 19 20+p 23
F:- 2 3 4 5p 6​

Answers

Answer:

X:-15 17 19 20+p 23 there is a difference of 2 between each number so p=1 .

F:-2 3 4 5p 6 there is a difference of one so p needs to be 1 .

What is the slope and y-intercept of this line?

y=−12x+7

slope: 12, y-intercept: −7

slope: −7, y-intercept: −12

slope: −12, y-intercept: 7


slope: 7, y-intercept: −12

Answers

Answer:

  (c)  slope: -12, y-intercept: 7

Step-by-step explanation:

The given equation is in the slope-intercept form:

  y = mx +b

In this form, m is the slope, and b is the y-intercept.

__

Comparing the given equation to the form, we see ...

  y = mx +b

  y = -12x +7   ⇒   m = -12, b = 7

The slope is -12; the y-intercept is 7.

Which kind of triangle must triangle XYZ be?

Answers

The type of triangle XYZ which is made, when the two line segments XY and ZY are tangent to circle, is an isosceles triangle.

What is the theorem of two tangents from external point?

When the two tangent are drawn to a circle from an exterior point then according to this theorem-

The length of these two tangents is equal.Both the tangents subtend equal angle at the center of the circle.The angle between the two tangent is bisect by the line joining to the exterior point and the center.

The figure of the circle O is attached below. Here, line segments XY and ZY are tangent to the circle.

As both the tangents are drawn from the same point, thus the length of XY and ZY is equal.

[tex]XY=YZ[/tex]

When the two sides of a triangle is equal, then it is known as the isosceles triangle.

Thus, the type of triangle XYZ which is made, when the two line segments XY and ZY are tangent to circle, is an isosceles triangle.

Learn more about the theorem of two tangents from external point here;

https://brainly.com/question/8705027

#SPJ1

What is 1/2 of 0.45x-1/4?

Answers

Answer:

0.45x−0.125

Step-by-step explanation:

0.45x-1/4

0.45x - 0.25 ÷ 2

0.45x−0.125

Help please please WILL MARK BRAINIEST

Answers

Let's consider the information given:

states that this is a regular polygon

          ⇒ means that all the side lengths are equal

this is a hexagon since it has six sides

To calculate the area of the hexagon:

   ⇒ must know the formula

         [tex]Area = \frac{3\sqrt{3} }{2} s^2[/tex]

s: length of one side --> 7 units

Let's solve: (remember we need to round the final answer to the nearest hundredth)

   [tex]Area = \frac{3\sqrt{3} }{2} *7^2=73.5\sqrt{3} =127.306[/tex]  ≈ 127.31 square units

Answer: 127.31 square units

Hope that helps!

Goran is running for president of the chess club, and he received 24 votes. There are 40 members in the club. What percentage of the club members voted for Goran?

Answers

Answer:

60%

Step-by-step explanation:

[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]

Given:

value = 24 votesTotal value = 40 members

Substituting these into the formula:

[tex]\implies \sf \left(\dfrac{24}{40}\right) \times 100=0.6 \times 100 = 60 \%[/tex]

Therefore, 60% of the club members voted for Goran.

If a point P is moving such that the lengths of the tangents drawn from P to the circles
[tex]x^2+y^2-4x-6y-12=0[/tex]
and
[tex]x^2+y^2+6x+18y+26=0[/tex]
are in the ratio 2:3 then find the equation of the locus of P.​

Answers

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

→ Answer :-

[tex]\sf{(x_{1} \: - y_{1})[/tex]

→ Explanation :-

[tex]\sf{Equations \: of \: the \: circles \: are:}[/tex]

        [tex]\sf{S = x^2 \: + \: y^2 \: - \: 4x \: - \: 6y \: - \: 12 = 0}[/tex]

        [tex]\sf{S_{1} = y^2 \: + \: y^2 \: + \: 6x \: + \: 18y \: + \: 26 = 0}[/tex]

 [tex]\sf{P(x_{1}, \: y_{1}) \: is \: any \: point \: on \: the \: locus \: and \: PT_{1,} \: PT_{2} \: are \: the \: tangents \: from \: P \: to \: the \: two \: circles.[/tex]

[tex]\sf{Given \: condition \: is:}[/tex]

[tex]\sf{\frac{PT_{1}}{PT_{2}} = \frac{2}{3}[/tex]

[tex]\sf{3PT_{1} \: = \: 2PT_{2}[/tex]

[tex]\sf{3(x^2 \: + \: y^2 \: - \: 4x \: - \: 6y \: - \: 12) = 2(x^2 \: + \: y^2 \: + \: 6x \: + \: 18y \: + 26)[/tex]

       [tex]\sf{3x^2 \: + \:3 y^2 \: - \: 12x \: - \: 18y \: - \: 36 = 2x^2 \: + \: 2y^2 \: + \: 12x \: + \: 36y \: + 52}[/tex]

       [tex]\sf{x^2 \: + \: y^2 \: - \: 24x \: - \: 54y \: - \: 88 = 0}[/tex]

[tex]\sf{This \: is \: the \: locus \: P \: \sf{(x_{1} \: - y_{1})[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Help?? um i can’t select multiple pics so..the other two Drop down menus say ..

A) (x - 5)(x - 1)
B) (x + 5)(x + 1)
C) x-1
D) x-5
—-
A) -1
B) 5
C) 2
D) -5

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x^2 -3x-10}{x^2 -6x+5}[/tex] × [tex]\frac{x-2}{x-5}[/tex] = [tex]\frac{(x-5)(x+2)}{(x-5)(x-1)}[/tex] × [tex]\frac{x-2}{x-5}[/tex] = [tex]\frac{(x+2)(x-2)}{(x-1)(x-5)}[/tex]  ( Domain is x ≠ 1 and x ≠ 5 )

The expression has an excluded value of x = 5

Which pieces of information may be found on a person's credit report?

Select each correct answer.

credit card balance

late payments

person's address

income

household size

age

Answers

Answer:

credit card balance

late payments

income

Answer:

See below ~

Step-by-step explanation:

On a person's credit report, the following information may be found :

credit card balancelate paymentsperson's address

You recently discovered that your job provides a 30% matching towards your retirement. If you deposit $300 each month into a retirement account with an APR of 5.50%, what would you type in Excel to find the balance after 25 years?

Answers

Answer:

Total amount of every money dat I have deposited

Need help on one question

Answers

Answer:

write it so that we can know

now I can't see

Matt and Mindy each built a rectangular prism that has a length of 5 units, a width of 2 units, and a height of 4 units. Matt used cubes that are 1 cm on each side. Mindy used cubes that are 1 in. on each side. What is the volume of each prism? ​

Answers

Answer:Matt’s is 40cm^3 and Mindy’s is 40in^3

Step-by-step explanation:5x2x4=40units^3

Answer:volume of rectangular prism is = whl= 2*4*5=40 unit³

the prism of the matt built will have the volume of 40cm³

where as Mindy will have 40in³

therefore,

1in=2.54cm

Mindy built volume= 40*2.54cm³= 101.6cm³

Keith is the owner of a cafe. He bought 28.6 pounds of apples for making pies. Apples cost$1.75 per pound. He also bought a can of chocolate syrup for $27.75. What was the amount that Keith spent?

Answers

Answer:

$77.514

Step-by-step explanation:

28.6 x 1.74 + 27.75 =  77.514

"I have a 40% chance of being selected as the captain of the volleyball team and a 75% chance of being elected student body president." What is the probability that Cara will be selected as the captain of the volleyball team and will be elected student body president?

Answers

Answer:

30% chance of them both happening

Answer:

thats going to be and exact 85%!

I used the probability calculater on cal.net

(12-3)\times6+(3\times7)

Answers

Answer:

The answer is 75

Step-by-step explanation:

Subtract: 12 - 3 = 9
2. Multiple:  9 * 6 = 54
3. Multiple: 3 * 7 = 21
4. Add: the result of step No. 2 + the result of step No. 3 = 54 + 21 = 75

Hoped this helped!

can someone help me with this?

Answers

Answer:

  f(x) = 2 -2^x

Step-by-step explanation:

The graph has a horizontal asymptote at y = 2. It has a slope that doubles in each unit interval. This tells you it is an exponential function with a base of 2, and a vertical translation of 2. The curve downward, rather than upward, means the function has been reflected across a horizontal line.

__

vertical shift

An exponential function of the form ...

  y = a·b^x

will have a horizontal asymptote at y=0. The asymptote here is y=2, so 2 has been added to the function value.

base value

The slope of the above function (y=a·b^x) will be multiplied by a factor of 'b' when x increases by 1. Your graph has a slope (rise/run) of -1 for x between 0 and 1, a slope of -2 for x between 1 and 2, and a slope of -4 between x=2 and 3. This behavior indicates that b=-2/-1 = -4/-2 = 2.

scale factor

The function so far looks like ...

  y = a·2^x +2

Using x=0, we can find the value of 'a'.

  1 = a·2^0 +2

  -1 = a . . . . . . . . subtract 2

Then the function is ...

  f(x) = -2^x +2

Dad is getting food ready for my birthday party! Including
me, there will be 18 people at the party. Dad is baking
cookies for us! He can bake 24 cookies per batch.
How many batches should I tell Dad to make so we can each
have 4 cookies?

Answers

Answer: Dad is getting food ready for my birthday party! Including

me, there will be 18 people at the party. Dad is baking

cookies for us! He can bake 24 cookies per batch.

How many batches should I tell Dad to make so we can each

have 4 cookies?

Step-by-step explanation:

Answer:

3 batches and a half = 84 cookies

Step-by-step explanation:

24 x 3= 84

84 divided by 19= 4.4

HGD

Write the mixed number as an improper fraction 2 3/10

Answers

Answer:

23/10

Step-by-step explanation:

and put the denominator as it is

Answer ↓

[tex]\boxed{\rm{pls\:refer\:to\:explanation}}[/tex]

Step-by-step explanation:

First multiply the whole part (2) times the denominator (10) :

20

Add the numerator (3) :

23

That's the numerator of our improper fraction .

The denominator stays the same .

So the answer is :

[tex]\boxed{\frac{23}{10}}[/tex]

[tex]\footnotesize\text{hope\:helpful}[/tex]

Solve the following quadratic equation: x^2-10x+25=51

please show steps i don’t understand

Answers

1. Simplify the quadratic equation into its standard form

Formula : ax^2+bx+c=0

Subtract  from both sides:

x^2-10x+25=51

x^2-10x+25-51=0

x^2-10x-26=0

Use the standard form,  ax^2+bx+c=0, to find the coefficients of our equation.

x^2-10x-26=0

a=1

b=-10

c=-26

The quadratic formula gives us the roots for ax^2+bx+c=0, in which a, b and c are numbers (or coefficients), as follows :

x=(-b±sqrt(b^2-4ac))/(2a)

to get the result :

x=(10±sqrt(204))/2

Simplify 204  by finding its prime factors:

The prime factorization of 204 is 2^2*3*17

x_2=-2.141

Answer:

x = 5 ± √51

Step-by-step explanation:

x² - 10x + 25 = 51

x² - 10x + 25 - 51 = 51 - 51

x² - 10x - 26 = 0

Factors with a product of -26 and a sum of -10:

NONE! Solve by completing the square (see attachment)

Step 1: Rearrange

x² - 10x + 25 = 51

x² - 10x = 26

Step 2: Add (b/2)² to both sides

x² - 10x + (-10/2)² = 26 + (-10/2)²

x² - 10x + 25 = 51

Step 3: Factor and solve

(x - 5)² = 51

x - 5 = √51

x = 5 ± √51

BRAINLIEST please if this helped!

Calculate the percent

Answers

35% of 35 is 12.25. The answer is 12.25.

Write (5 – 8i)2 in simplest a + bi form.

Answers

Answer:

10-16i

Step-by-step explanation:

use distrubutive property and treat i like a variable

Someone please help!​

Answers

Step-by-step explanation:

<1 = 180°-102° = 78° (the extended angle is 180°)

<2 = <5 = 58°

<3 = 180° - 78° - 58° = 44° (the sum of the angles inside of a triangle is 180°)

<4 = 180° - 44° - 58° = 78° = <1 (the extended angle is 180°)

Frenza is planning an $160,000 expansion to launch a new product line. Frenza currently earns $100,000 in net income, and the new product line will yield $50,000 in additional income before any interest expense. Frenza has three options: (1) do not expand, (2) expand and issue $160,000 in debt that requires payments of 8% annual interest, or (3) expand and raise $160,000 from equity financing. For each option 1, 2, and 3, compute (a) net income and (b) return on equity (Net income ÷ Equity). Ignore any income tax effects. (Round "Return on equity" to 1 decimal place.) Show less 1 2 3 Don’t Expand Debt Financing Equity Financing Income before interest expense $92,000 Interest expense 0 12,800 0 Net income $100,000 Equity $400,000 $400,000 Return on equity % % %

Answers

Based on the current income to Frenza, and the proposed expansion amount, the net income and return on equity for the three options are:

Don't Expand:

Net income = $100,000.Return on equity = 25%.

Debt financing:

Net income = $137,200.Return on equity = 34.3%.

Equity financing:

Net income = $150,000.Return on equity = 26.8%.

What happens if Frenza doesn't expand?

Net income will remain at $100,000.

Return on equity would be:

= Net income / Equity

= 100,000 / 400,000

= 25%

What happens if Frenza uses debt financing?

Income goes to $150,000.

Net income:
= Income - interest

= 150,000 - (8% x 160,000)

= $137,200

Return on equity:

= 137,200 / 400,000

= $34.3%.

What happens if Frenza uses equity financing?

Income goes to $150,000.

No interest payment so net income is $150,000.

Return on equity:

= 150,000 / (400,000 + 150,000 new equity)

= 26.8%

Find out more on return on equity at https://brainly.com/question/1427854.

504,047 written in expanded form

Answers

Answer:

500,000 + 4,000 + 40 + 7

BRAINLIEST please if this helped!

9. An airplane is 325 miles from the airport. To get to the present positionthe plane flew 205 miles due south from the airport and then flew due westTo the nearest mile, how far west didi the plane fly?

Answers

*Answer* : 66,525


*explanation* : 325 x 205=

In your own words describe how to find the area of a composite
figure? What are the steps you would take to solve a problem like
this?

HELP PLS ILL MAKE THE BRAINIEST SAY THANKS AND RATE 5 STARS JUST HELP ME IN LIKE 5 - 10 MIN PLS!

Answers

Answer:

A=LxW

Step-by-step explanation:

cut the shape into easier pieces then go to one piece and x the W with the L for example 4x5 then x them and youll get your area like this A=LxW = 20=4x5 like that then do the same for the other pieces then once you x them all add them and youll get the whole area for your shape

hoped it helped :)

If the area of the rectangle is twenty-four-and-thirty-two-hundredths square inches, what’s the measurement of the width?

Answers

Answer:

Can't answer this without knowing the height of the rectangle ...

Step-by-step explanation:

Answer: 3.2

Step-by-step explanation: Trust me, I got it right.

Solve the following problems.
Given: IL Perpendicular EJ at M
Prove: mEL + mll = 180°
Just need the proof!

Answers

FULL EXPLANATION & ANSWER:

12. In a language survey of students, it is found that 80 students know English, 60 know
French, 50 know German, 30 know English and French, 20 know French and German, 15 know English and German and 10 students know all the three languages. How many students know at least one language ?

Answers

Answer:

190 students

Step-by-step explanation:

Just focus on the first half of the problem: 80 english, 60 French, and 50 German. Added together this gives you 190

please help be answer this

Answers

Answer:

D

Step-by-step explanation:

[tex](2x +12)(2x + 8)[/tex]

[tex]4 {x}^{2} + 16x + 24x + 96[/tex]

[tex]4 {x}^{2} + 40x + 96[/tex]

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