The base diameter and the height of a cone are both
equal to x units.

Answers

Answer 1

Answer:

π x³ /12 is the volume of the cone if  A cone has a height of x and a diameter of x

Step-by-step explanation:

The base diameter and the height of a cone are both equal to x units

Diameter of cone = x  units

Radius = Diameter /2

=> Radius of cone = x/2 units

Height of cone =x units

Volume of cone = (1/3) π r²h

r = radius h = height

=> Volume of cone =  (1/3)π (x/2)² * x

= (1/3) π (x²/4) * x

= (1/12)  π x³

= π x³ /12 cubic units


Related Questions

A box of chocolates contains 18 chocolate squares. 10 of the squares are milk chocolate. 5 are dark chocolate and 3 are white chocolate if christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square

Answers

Answer:

Either %16.67 or %17 if rounded

Step-by-step explanation:.

An easy way to do this is convert the probability from a fraction into a percent. We can do this by taking the total number of chocolate squares (18) and using this as a denominator. Then take the number of white chocolate squares (3) and using this as our numerator. This give us a fraction of 3/18. Now to turn this into a percent, we need to find what you need to multiply 18 by to get 100. We can do this easily by deviding 100 by 18. This is a long decimal so i'll keep it in fraction form (100/18). Now you just have to multiply 3 by (100/18). This is about 16.67. If the answers are rounded it will be 17%.

here is the histogram of a data distribution. all class widths are 1. which of the following numbers is closest to the mean of this distribution a)3 b)5 c)4 d)9 e)7

Answers

The number 5 is closest to the mean of the distribution, option (B) is correct.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

From the histogram:

2, 6, 4, 2, 0, 1, 6, 4, 2, 1

The sum of the above data = 28

= 2×1+6×2+4×3+2×4+0×5+1×6+6×7+4×8+2×9+1×10

= 2+12+12+8+6+42+32+18+10

= 142

Mean = 142/28

= 5.07

Thus, the number 5 is closest to the mean of the distribution option (B) is correct.

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Answer:4

Step-by-step explanation:jus done this question

Which is an advantage of using an ATM as opposed to a bank teller? Select all that apply.

24-hour access
greater number of locations
faster transactions
personal interactions
more types of services

Answers

24 hour access all day also personal interaction

4) Carlo finished answering his homework at 7:20 p.m. If he started at 6:50 p.m., how many minutes did he spend in answering his homework?
a. What is asked?

b. What are given?

c. What is/are the operation/s to be used?

d. What is the number sentence?

e. What is the answer?

Answers

Answer:

a. the time spent answering homework

b. time finished and time started

c. subtraction

d. 7:20-6:50 (unsure how this is supposed to be laid out)

e. Carlo spent 30 minutes answering his homework

Solve for x. Round to the nearest tenth.​

Answers

Answer:

x= 11.87

Step-by-step explanation:

sec(32) = 14 /x

1.18=14/x

x1.18 =14

x= 11.87

Ms. Jones baked 12 cookies on Monday. On Tuesday, she baked 15 cookies, on Wednesday, she baked 18 cookies. If Ms. Jones continues baking cookies this way, how many will she bake on Friday?​

Answers

Answer:

19 or 20

Step-by-step explanation:

well is see

Monday = 12

Tuesday = 12 + 3 = 15

Wednesday = 15 +3 = 18

so the pattern is 3

but now since there is only 14, 13, 19, and 20

we could say she only added 1 or 1 each time

because it said she wanted cookies to stay about 18

1 x 2 = 2

18 + 2 = 20

or

1 + 18

19

sorry if it's wrong

URGENT!!! NEED BY 11:59 EDT time!!!!!!!!!!!!!!!!!!!!!! WORTH 100 POINTS WITH CORRECT ANSWER AND EXPLANATION

Karen has 3 different INTEGER test grades (from a teacher that NEVER gives bonus questions or extra credit) that are all B+ and says that it doesn’t matter how high a grade she gets on the last test of the term because she’ll still only end up with no higher than a B+ test average. What is the SMALLEST score that proves her wrong?

Answers

Usual gradation standards

90+—≥ A+80-90—>A70-80—»B+60-70—»B50-60—⟩C+40-50—»C30-40—»D<30—≥Fail (F)

So inorder to make her wrong we need something less than B+ I e <70

Smallest score is 0 largest score is 70 .

distance between (-71,432) and (511,218) and round to the nearest thousandth

Answers

Answer:

620.097 units

Step-by-step explanation:

1. Consider the following points:

(-71,432) and (511,218)

The objective is to find the distance between these two points using a graphing calculator and round your answers to the nearest thousandth.

Using my knowledge of "Mental Math" I can determine that the final answer is 620.097 units.

based on a survey of 425 master’s programs in business administration, the u. s. news & world report ranked the indiana university kelley business school as the 20th best business program in the country (america’s best graduate schools, 2009). the ranking was based in part on surveys of business school deans and corporate recruiters. each survey respondent was asked to rate the overall academic quality of the master’s program on a scale from 1 “marginal” to 5 “outstanding.” use the sample of responses shown below to compute the weighted mean score for the business school deans and the corporate recruiters. discuss.quality business school corporate assessment deans recruiters 5 44 31 4 66 34 3 60 43 2 10 12 1 0 0

Answers

The deans have a higher weighted mean score for business schools which is 3.8.

What is weighed mean?

The weighted arithmetic mean is similar to the conventional arithmetic mean in that certain data points contribute more than others to the final average.

Weighed mean = (weightage x parameter)/no of parameters

The Weighted mean score for deans

= [(5×44)+(4×66)+(3×60)+(2×10)]/(44+66+60+10)

= 684/180

= 3.8

The Mean weigted score of recruiters

= [(5×31)+(4×34)+(3×43)+(2×12)]/(31+34+43+12)

= 444/120

= 3.7

Hence, The deans have a higher weighted mean score for business schools which is 3.8.

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Have to make the equation on the left look like the equation on the right. There are apparently only 2 steps but I can not figure it out for myself. Also not supposed to touch the second equation just show how you get it from the first.

Answers

Step-by-step explanation:

[tex] \frac{a}{b} c = \frac{a}{ \frac{b}{c} } [/tex]

[tex] \frac{a}{b} c = a \times \frac{c}{b} [/tex]

Answer:

Step-by-step explanation: change A/B/C to A÷B/C then change the division sign into a multiplicmultiplication sign so that you will have A×C/Bwhich will make your left equation = to your right equation

shawn is shoppping for a rug for his dinning room. the rectangular sug he likes measures 5 feat by 7 feet. what is the area of the rug?

Answers

Answer:

35 square feet

Step-by-step explanation:

Area of the rug :

Length x width7 x 535 square feet

pls help with the question in the picture asap

Answers

The measure of DE is triangle ABE is similar to ACD is 9units

Similarity theorem of triangle

For triangles to be similar, the ratio of their sides must be equal to the constant called he scale factor.

From the given diagram;

AB/AE = AC/AD
20/15 = 32/15 + DE

Solve for DE
4/3 = 32/15+DE
4(15+DE) = 3(32)
15+DE = 3(8)
DE = 24 - 15
DE = 9

Hence the measure of DE is triangle ABE is similar to ACD is 9units

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What is 2/8 in its simplest form

Answers

Answer:

14

Step-by-step explanation: because you find a common number that both the numerator and the denominator can be divided by. In this case, it is 2 . You can't divide 14 anymore so that is the final answer.

It’s 1/4

2/8. First find the highest number that goes into it which is 2.
2/2=1
8/2=4
1/4

The new floor plan for the interior of a home is below. Marisa wants to cover various parts of the floors with carpet, tile, or wood.

If tile costs $1.29/sq. ft., how much will the tiled portion of the floor plan cost?
A) $1,548.00
B) $1,161.00
C)5387.00
D) $774.00

Answers

Answer:

C. $774.00

Step-by-step explanation:

First, you have to find the area of the area that is tile, in this case, it is a trapezoid.

Area of Trapezoid formula:

A= 1/2(b1+b2)h

h= height

b=base

A= 1/2(15+25)30

A= 1/2(40)(30)

A=1/2(1,200)

A= 600

Now, you multiply 600 by the cost of the tile to get how much money it will cost.

600*1.29= $774.00

At the second stop sign, Rowena skids to a quick stop. Her bike leaves a 7-foot skid mark in the sand. How many inches long is the skid mark?​

Answers

Answer:

84

Step-by-step explanation:

There are 12 inches in a foot. We have 7 feet. To find how many inches it is, all we do is multiply 7 by 12, which if we do, we get 84.

Hope this helps!

Answer:

84

Step-by-step explanation:

A nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes. What is the probability of the complement of the event? Express your answer as a fraction in simplest form.

Answers

The probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of contains in the bag = 15+10+15 = 40

Total number of nickel = 10

The probability of getting the nickel = 10/40 = 1/4

The complement of the probability:

P' = 1 – 1/4

P' = 3/4

Thus, the probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.

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A survey of 300 farmers in Missouri found that 111 favor the Republican candidate for governor. Construct the 95% confidence interval for the true population proportion of all farmers in Missouri who favor the Republican candidate.

a) 0.280 < p < 0.460
b) 0.324 < p < 0.416
c) 0.368 < p < 0.372
d) 0.315 < p < 0.425

Answers

Answer:

b) 0.324 < p < 0.416

Step-by-step explanation:

b) 0.324 < p < 0.416

How do you write 415,000 in scientific notation

Answers

Answer:

4.15×10⁵

10⁵=100,000

4.15×100,000=415,000

Answer:

4.15 * 10^5.

Step-by-step explanation:

There are 5 digits after the initial digit(4).

So it is:

4.15 * 10^5

PLSS HELP ME WITH THIS 15 POINTSS!

Answers

Answer:

D. y= 1/9x

Step-by-step explanation:

y= 1/9x

(x)=9y

so I think d is your answer sorry if its wrong but i hope i helped.

Answer: D. y= 1/9x

Step-by-step explanation: i think you answer is  correct if not it's ok

Mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.

Use the change of base formula: log base b of y equals log y over log b.

Answers

[tex]~~~~~37^x = 12\\\\\implies \ln\left( 37^x \right) = \ln(12)\\\\\implies x \ln (37) = \ln(12)\\\\\implies x = \dfrac{\ln(12)}{\ln(37)}\\\\\implies x \approx 0.689[/tex]

In parallelogram JKLM if m/JKL-150° find m/LMJ.

Answers

Answer:

150 degrees

Step-by-step explanation:

This is because the opposite angles in this parallelogram are equal.

PLEASE HELP ME HOW TO DO THIS

Answers

Step-by-step explanation:

Area: Length X width

Perimeter: Add all sides

WILL MARK BRAINLIEST
Graph the following exponential function. Show work in how you find the y intercept, talk about the end behavior, and state if it is a growth or decay function.

I already did the graph

Answers

y=1/2(0.25)^0-1. +2

y=1/2(0.25)^-1 +2

y=1/2*4+2

y=2+2

y=4

Step-by-step explanation:

set x to 0 to find y intercept

Find some points

y=1/2(0.25)^{x-1}+2

x=1

y=1/2+2=5/2=2.5

x=2

y=0.25/2+2y=0.125+2y=2.125

As you did the graph already so I haven't attached it .

The Y intercept

Put x=0

y=1/2(0.25)^{-1}+2y=1/0.5+2y=2+2y=4

Y intercept is 4

Hi guys !

Find the missing angle in the given figure .

All the best *​

Answers

Answer:

third angle: 50°

Explanation:

The interior angles of a triangle sum ups to 180°.

Here given two angles: 95°, 35°, x - Let the missing angle be x

When they sum up, they equal to 180:

x + 35 + 95 = 180

x + 130 = 180

x = 180 - 130

x = 50

Given two angles are 35° and 95°

Let the unknown angle be "x"

We know that sum of angles of a triangle is 180°

Therefore,

[tex]\sf{35°+95° + x = 180°}[/tex]

[tex]\sf{130° + x = 180°}[/tex]

[tex]\sf{x = 180°-130°}[/tex]

[tex]\sf{x = 50°}[/tex]

Hence, the missing angle is 50°.

Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.66, the towel cost $21.56,
and the candle cost $9.02 before any coupons or discounts.
She used a $0.50-off coupon on the candle, a $2.75-off coupon on the towel, and the set of dishes was on sale for 10% off the regular price. Which of the following best describes the amounts that Antonia saved?
A. She saved the greatest percentage on the towel.
B. She saved the greatest percentage on the candle.
C. She saved the same percentage on the towel and the set of dishes.
D. She saved the greatest percentage on the set of dishes.

Answers

For set of dishes,price of discount =10%of $35.66=$3.566
Cost price of set of dishes = $35.66
Selling price of set of dishes =$35.66-$3.566
=$32.094

Cost price of towel=$21.56
Price of coupon =$2.75
Selling price after using coupon =$21.56-$2.75= $18.81


Cost price of candle =$9.02
Price of coupon=$0.50
Selling price of candle after using coupon =$9.02 -$0.50 =$8.52

Therefore the answer is D since she saved the greatest percentage on the set of dishes

i need help 7th grade math i need all the answers correct please ASAP

Answers

Answer:

The 8.39-kg bag

Step-by-step explanation:

19.99 divided by 7.98 = $2.51

20.38 divided by 8.39 = $2.43

2.51 > 2.43

So 8.39-kg bag is the better buy

Answer:

7.98: $2.51/kg8.39: $2.43/kgthe 8.39 kg bag is the better buy

Step-by-step explanation:

To find the unit price, divide the price by the number of units. Here, the unit of interest is 1 kg.

__

Unit price of 7.98 kg bag:

  $19.99/(7.98 kg) = $2.51 /kg

__

Unit price of 8.39 kg bag:

  $20.38/(8.39 kg) = $2.43 /kg

__

The 8.39 kg bag has a lower cost per kilogram, so is considered the better buy.

find the area of a square whose perimeter is 840m

Answers

Answer:

Area of square = 44,100 m²

Step-by-step explanation:

Given :-

Perimeter of square = 840 cm

To find :-

Area of sqaure

Solution :-

The find area of sqaure firstly we need to find the length of each side of the sqaure.

We know that,

Perimeter of rectangle = 4 × side

840 = 4 × side

840/4 = side

210 m = side

Side of square is 210 m

→ Area of rectangle = (Side)²

→ Area = (210)²

→ Area = 44,100 m²

Hence, Area of the square is 44,100 m²

Hey ! there

Answer:

Area of square is 44100 m² .

Step-by-step explanation:

In this question we are provided with a square having perimeter of square 840 m . And we are asked to find the area of square .

For finding area of square we need to find the side of square . So , we are finding the side of square by assuming it as " x " metres and then equating it with given perimeter that is 840 m .

We know that ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

[tex] \qquad \quad \underline{\boxed{\frak{Perimeter_{(Square)} = 4 \times Side }}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

SOLUTION : -

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Finding Side ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Substituting value of side as x in formula and equating it with 840 :

[tex] \quad \longmapsto \qquad \: 4 \times x = 840[/tex]

or ,

[tex] \quad \longmapsto \qquad \:4x = 840[/tex]

Dividing with 4 on both sides :

[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{ \dfrac{840}{4} }[/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x= 210 \: m}}}[/tex]

Therefore , SIDE of square is " 210 " metres .

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Finding Area ,

‎ ‎ ‎ ‎ ‎ ‎ ‎

We know that ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

[tex] \: \qquad \: \qquad \: \underline{\boxed{\frak{Area_{(Square)} = Side {}^{2} }}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Now , substituting value of side as 210 in formula :

[tex] \quad \dashrightarrow \qquad \: (210) {}^{2} [/tex]

or ,

[tex] \quad \dashrightarrow \qquad \:210 \times 210[/tex]

Multiplying 210 two times , We get :

[tex] \quad \dashrightarrow \qquad \:\blue{\underline{\boxed{\frak{44100 \: m {}^{2} }}}} \quad \bigstar[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Henceforth , AREA of square having perimeter 840 m is 44100 square metres

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

#Keep Learning

If you solve this i give you 50 points

Answers

Step-by-step explanation:

2) 8,6,5,3 ,57 7,4,2/8

=92/8

mean =11.5

Arrange the terms in ascending order

2,3, 4, 5, 6, 7, 8, 57

the median of the ascending set= 5.5

3) 72 75 85 82 37 108/ 6

459/6

mean =76.5

Arrange the terms in ascending order

37, 72, 75, 82, 85, 108

the median of the ascending set= 78.5

4) 10 students were asked because there were 10 data values in the list.

5) it should be 55/10 =5.5

so its false

6) Sum first and find the mean number

5+4+3+2+1/5

=3

A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.

an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)

Answers

a_n=2(a_n-1 +4)a_n=2a_n-1+8

So

a_2

2a_1+8=2(5)+8=18

a_3

2a_2+8=2(18)+8=44

a_4

2a_3+8=2(44)+8=96

a_5

2a_4+8=2(96)+8=200


(a)
Part A
Moira collected some stones at the beach. Now she wants to make a clear plastic container to display the sto
a stones. To plan the container Moura decides that she must find the volume
the stones
Moira has an aquarium that is shaped like a rectangular prism. It is 8 inches wide, 16 inches long and 10 inches high She plans to use the aquarium to find the value of the room
First, Moira pours some water Then Moira puts the stones in
into the aquarium. She
the aquarium. She measures
measures and finds that the and finds that the water
water reaches to a
reaches to a new height of
height of 4 inches.
7 inches
7 in
Bin
4 in
10 in.
10 in
8 in
16 in.
Using this information, find the volume of the stones. Show your work

Answers

The volume of the stones will be 384 inch³.he volume of the stone is found by subtracting the volume before stones and the volume after stones in the container.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic inch.

Volume before the stones are put in the container is;

[tex]\rm V_1 = L bh \\\\ V_1= 4 \times 16 \times 8 \\\\ V_1= 512 \ inch^3[/tex]

The volume after the stones are put in the container is;

[tex]\rm V_2= 7 \times 16 \times 8 \\\\\ V_2= 896 \ inch^3 \\\\[/tex]

The volume of the stone is found by subtracting the volume before stones and the volume after stones;

[tex]\rm V = V_2-V_1 \\\\\ V=896-512 \\\\ V_2= 384 \ inch^3[/tex]

Hence,the volume of the stones will be 384 inch³.

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