A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.5. The cooler has 16956cmCubed of water in it. How many cups can be filled from the cooler?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.

Answers

Answer 1

Answer: the answer is 150 :)

Step-by-step explanation: Volume of a cone is

V = 1/3 pi * r^2 *h

The volume of one cone is

pi = 3.14

r = d/2 = 6/2 =3

h=9

Substitute what we know

V = 1/3 * (3.14) * (3^2) * (9)

  = 27* 3.14

  = 84.78  cm^3

The water cooler has 12717 cm^3 water

Divide the water by the volume of the paper cup cone  and we will know how many paper cup cones we can fill, assuming we fill them completely.

12717/ 84.78 = 150

We can fill 150 paper cup cones. have a great day!


Related Questions

Find CD. Assume segments that appear to be tangent are tangent.​

Answers

Answer: 5

Step-by-step explanation:

What is the mean of the values in the dot plot?



Enter your answer in the box.

Answers

Answer:

the mean is 46.

Step-by-step explanation:

The total is 460 and divided by the amount of numbers(10) is 46.

Are the expressions 5 ( x - 3) and 5x + 15 equivalent? use the distributive property to support your answer

Answers

Answer: No

Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to negative three you will end up with -15. And 15 is not equal to negative 15.

I hope this helps!

Does this mean my data is normally distributed or not? How did you know?

Answers

Answer:

There are most likely a few outliers, with the rest of the data close to the mean. The standard deviation is an indication of how "wide" the peak of the graph is. Since we have a very large range, that means that the values cover a very large range. But since the standard deviation is small, that means that most of the values are extremely close to the average (or mean) of the values. With that in mind, let's look at the options and see what fits. The distribution is very flat with a gradual increase in frequency as the numbers approach the mean. * This would have a rather large standard deviation since most of the values would be a fair distance from the mean. So this is a bad choice. There are most likely a few outliers, with the rest of the data close to the mean. * This is a very accurate description of the situation. So it's the correct choice. You can't really know anything about the distribution's shape without actually seeing it, or having more data. * This is a cop out and quite wrong. Therefore this is a bad choice. The distribution is essentially normal or bell shaped. * This is what is usually expected, but since we have a small standard deviation, the curve is more definitely NOT bell shaped. So this is a wrong choice...

Step-by-step explanation:

#caryonlearning correct me if im wrong

The graph of a logarithmic function is shown below.

On a coordinate plane, a curve starts in quadrant 3 and curves up in to the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.

What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers

Answers

Answer:

x > -2.

Step-by-step explanation:

Starts at x = -2 then carries on without bounds.

Answer:

x > –2

Step-by-step explanation:

The answer above is correct.

Johnny wants to go to his friends house. Johnny is located at (0, 0) and Johnny's friends lives at (5, 7). If each line on the graph represents one mile, which of the following must johnny do to get to his friends house?

A. Go East for 5 miles then North for 7 miles.
B. Go West for 5 miles then North for 7 miles.
C. Go East for 5 miles then South for 7 miles.
D.Go West for 5 miles then south for 7 miles.

Answers

Answer:

A

Step-by-step explanation:

The answer is A because on a graph you have to move 5 units right on the x line and 7 units up on the y line. This means East for 5 miles then North for 7 miles.

The area of parallelogram is 104 square units and base length is 13. What is the height of the parallelogram?

Answers

Answer :

8 units

Step-by-step explanation :

Here,

Area of the parallelogram is 104 sq. units

Base length of the parallelogram is 13 units.

We know that,

[tex]{\longrightarrow \qquad{ \mathfrak{ \pmb{Base \times Height = Area_{(Parallelogram)}}}}}[/tex]

Now, Substituting the values in the formula :

[tex]{\longrightarrow \qquad{ \sf{ {13 \times Height = 104}}}}[/tex]

[tex]{\longrightarrow \qquad{ \sf{ {Height = \dfrac{104}{13} }}}}

[/tex]

[tex]{\longrightarrow \qquad{ \pmb { \frak{Height \: \: {= 8}}}}}[/tex]

Therefore,

The Height of the parallelogram is 8 units.

Question :-

The Area of Parallelogram is 104 units² . Its Base is 13 units . What is the Height of the Parallelogram ?

Answer :-

Height of Parallelogram is 8 units .

Explanation :-

As per the provided information in the given question, we have been given that the Area of Parallelogram is 104 units² . Its Base is given as 13 units . And, we have been asked to calculate the Height of the Parallelogram .

For calculating the Height , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Parallelogram} \: = \: Base \: \times \: Height \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf { Area \: _{Parallelogram} \: = \: Base \: \times \: Height } [/tex]

[tex] \longmapsto \: \: \: \sf { 104 \: = \: 13 \: \times \: Height } [/tex]

[tex] \longmapsto \: \: \: \sf { \dfrac {104}{13} \: = \: Height} [/tex]

[tex] \longmapsto \: \: \: \sf { 8 \: = \: Height} [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Height \: = \: 8 }} [/tex]

Hence :-

Height of Parallelogram = 8 units .

[tex] \underline {\rule {204pt} {4pt}} [/tex]

Additional Information :-

[tex] \begin{gathered} \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered} \end{gathered} [/tex]

What is the slope and y-Intercept of the equation on the graph?

Answers

Answer:

Slope: 3/2

Y-Intercept: 3

Step-by-step explanation:

The y-intercept is very easy to discover as it is just the Y coordinate when X is zero or "intercepts" the x axis. So if you look directly above the origin you see that the line has the point (0, 3).

The Y Intercept is 3

The slope is found using the slope formula of y2-y1/x2-x1

Lets take two points from the line. We have the (0, 3) point that I mentioned earlier and we can get the x-intercept of (-2, 0)

Lets Solve!

3- 0 = 3

0-(-2) = 2

3/2 is the slope

So the formula is Y = 3/2 + 3

Select all the true statements about the following parallelogram

Answers

Answer:

it is D. and A.

Step-by-step explanation:

um because

2) A square piece of land was divided by a 850-meter diagonal fence. One side of the land measures 700 m. how many meters of fence does the owner need to complete the fencing of half of the land? formod hy nutting i smuares fonether 1 souare is at the center. What is the​

Answers

The length of fence materials needed to cover a land of sides 700m ,700m and 850m is 2250 meters

Perimeter of Flat Shapes

Given Data

Diagonal = 850 meterSide of fence = 700 meterShape of land = Square

Since the shape of the land is that of a square

All the sides will be 700 meter

Dividing the land into two pieces, the side will be

700, 700, 850

hence the length of fence needed to cover the land is

Perimeter = 700+700+850

Perimeter = 2250 meters

Learn more about perimeter here:

https://brainly.com/question/24304697

PLEASE SOLVE THIS QUICKLY
Log 50/ Log 6 -3

Answers

Answer:

-0.8

________________________________________________________

Solve

If the value of log 50 rounds to 1.7, find the value of log 6 and -3

[tex]log6 = 0.77815125038[/tex]

Subtract by 3.

[tex]log6 - 3 = 2(estimate)[/tex]

Divide by ㏒ 50

[tex]\frac{log6 - 3 }{50} = -0.8(estimate)[/tex]

________________________________________________________

Questions

Ask in the comments box.

a sector of a circle has a central angle measure of 60°, and an area of 14 sq inches, what is the area of the entire circle​

Answers

Answer:

area of entire circle = 84 in²

Explanation:

[tex]\sf \dfrac{\theta}{360} *\pi *r^2 = Area \ of \ sector[/tex]

===========

[tex]\sf \rightarrow \dfrac{60}{360} *\pi *r^2 = 14[/tex]

[tex]\sf \rightarrow \dfrac{1}{6}\pi *r^2 = 14[/tex]

[tex]\sf \rightarrow r^2 = \dfrac{14*6}{ \pi}[/tex]

[tex]\sf \rightarrow r = \sqrt{\dfrac{84}{ \pi} }[/tex]

[tex]\sf \rightarrow r = 5.17\ in[/tex]

Area of circle:

[tex]\sf \pi r^2[/tex]

=====

[tex]\hookrightarrow \sf \pi (5.17)^2[/tex]

[tex]\hookrightarrow \sf 84\ in^2[/tex]

i think it’s #1 but what’s the work?

Answers

You have to divide first then subtract
You correct the answer is 1

Because sin^-1(-2/5)=-23.578
Plug in cot theta = -2.29
which is approximately equal to 1

So you are right option 1 is correct

Find the value of X to the nearest tenth.

Answers

Step-by-step explanation:

REFER TO THE ATTACHMENT

HEY IN WHICH CLASS YOU ARE ROSA

Answer:

my answer is 7.5

Step-by-step explanation:

let me know if I'm incorrect

Gabriel has these bags of chips in his kitchen cabinet.
• 3 bags of Takis
• 2 bags of Doritos Cool Ranch
• 2 bags of Hot Cheetos
• 2 bags of Funyuns
• 1 bag of Ruffles
Gabriel will randomly choose one bag of chips. Then he will put it back and randomly
choose another bag of chips. What is the probability that he will choose a bag of
Funyuns and then a bag of Hot Cheetos?
The probability that he will choose a bag of Funyuns and then a bag of Hot Cheetos is
end
.:
1
25
::
:
42

Answers

Answer:

The answer for the first part is 2/5

Step-by-step explanation:

Because if you add the total number of bags it equals 10 and then you do 2/10 because if 2 bags of funyuns and another 2/10 because its 2 bags of hot cheetos so 2/10+2/10=4/10 and simplified it is 2/5

PLEASE MARK AS BRAINLIEST

Draw a rectangle which all sides are different lengths

Answers

This is impossible. A rectangle has 4 90 degree angles and 2 sets of equal sides.

Can, you help me thanks. <3

Answers

Answer:

I think the 1st one is the answer

Step-by-step explanation:

if it helpful to you give me a brainliest

Two angles of a quadrilateral measure 125° and 35°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answers

Answer:

120° and 80°

Step-by-step explanation:

quadrilateral = 360°

125° + 35° = 160°

360° - 160° = 200°

3/5 of 200° = 120°

200° - 120° = 80°

Answer:

Step-by-step explanation:

Finding the missing angles of quadrilateral:

Ratio of other two angles = 3 : 5

Other two angles are 3x , 5x

Sum of all angles of quadrilateral = 360

125 + 35 + 3x + 5x = 360

Combine like terms

          160 +  8x  = 360

Subtract 160 from both sides

                     8x  = 360 - 160

                     8x = 200

Divide both sides by 8 to isolate x

                       x = 200/8

                        x = 25

5x = 5*25 = 125

3x = 3*25 = 75

The other two angles are 125° , 75°

The circumference of a sphere is 18π inches. Find the volume of the sphere in terms of π

Answers

Answer:

volume=12п

Step-by-step explanation:

circumference =2пr

2пr=18п

r=18п:2п

r=9

volume of sphere= (4/3)*п*r

volume=(4/3)*п*9

volume=4*п*3

volume=12п

What is the quotient?

690/16

A.
B.
C.
D.

Answers

43 is the quotient

=======

[tex]\rightarrow \sf \dfrac{690}{16}[/tex]

[tex]\rightarrow \sf 43\dfrac{2}{16}[/tex]

=========

In a mixed fraction like: [tex]\sf a \dfrac{b}{c}[/tex]

a = quotientb = remainderc = divisor

Answer:

43

Step-by-step explanation:

To find the quotient of 690/16, the first step is to simplify the expression so that it would be easier to simplify.

[tex]\rightarrowtail \dfrac{690}{16} = \dfrac{345}{8}[/tex]

Now, let's simplify the expresssion using long division.

(Refer to image attached)

According to the image, we can tell that quotient is 43. Keep in mind that the quotient is the number obtained at the top.

A mute for a brass instrument is formed by taking a solid cone with a radius of 10 centimeters and an altitude of 20 centimeters and cutting off the top. The cut is made along a plane that is perpendicular to the altitude of the cone and intersects the altitude 6 centimeters from the vertex. Round your answers to the nearest hundredth.

What is the surface area of the original cone?
What is the surface area of the cone that is removed?
What is the surface area of the mute?

Answers

By using the formula for the area of a cone, we will get:

i)  942 cm^2ii)  84.78cm^2iii)  885.48cm^2

How to get the surface areas?

First, let's find the area of the original cone. Remember that for a cone of radius R and height H, the surface area is:

A  = pi*R^2 + pi*R*H

Then for the original cone where:

R = 10cm

H = 20cm

The area is:

A = 3.14*(10cm)^2 + 3.14*10cm*20cm = 942 cm^2

Now, we remove a smaller cone at 6 cm from the vertex, so we are removing a cone with height of 6 cm, and the radius of this cone is given by:

R' = R*(H'/H) = 10cm*(6cm/20cm) = 3cm

So the area of the removed cone is:

A' = 3.14*( (3cm)^2 + 3cm*6cm) = 84.78cm^2

The final area of the mute will be equal to the difference between the area of the original cone and the area of the removed cone, plus the area of the top cross-section (a circle of radius of 3cm)

A'' = 942 cm^2 - 84.78cm^2 + 3.14*(3cm)^2 = 885.48cm^2

If you want to learn more about areas, you can read

https://brainly.com/question/6613758

HELP ASAP! GIVING BRAINLIEST TO BEST ANSWERS FOR THESE 2 QUESTIONS!

Answers

Answer:Option AOption DSolution:In order to multiply fractions, we should multiply the numerator of the first fraction times the numerator of the second fraction, like so:3•5=15Do the same with the denominator:10•7=7015/70 is the answer.Same with the other fractions:7•2=1410•4=40Hence, 14/40 is the answer.

Hope it helps.

Do comment if you have any query.

Let's start off with  1. 3/10 * 5/7

3/10×5/7=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

(3×5) / (10×7) = 15 / 70

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 70 using

GCF(15,70) = 5

(15÷5)/ (70÷5)=3/14

Therefore:

3/10×57=3/14

Now, #2. 7/10 * 2/4- We do the same process.

7/10×2/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

(7×2) / (10×4)=1440

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 40 using

GCF(14,40) = 2

(14÷2) / (40÷2) = 7/20

Therefore:

7/10×2/4=7/20

Hope this helps!

Virgil opened an account with a deposit of $815.
. The bank pays 5% interest compounded annually on this account.
• Virgil makes no additional deposits or withdrawals.
How much interest will the account have earned after 6.5 years?

Answers

Answer:

  $304.15

Step-by-step explanation:

The amount of interest earned can be found from the formula ...

  I = P((1 +r)^t -1)

  I = $815((1 +0.05)^6.5 -1) ≈ $815(0.373189) ≈ $304.15

Virgil's account will have earned about $304.15 in interest in 6.5 years.

bob leaves school and starts walking home at a speed of 3 mph. At the same time, his sister leaves their house and starts biking to school at a speed of 12 mph. how far from home is their school if they meet in 10 minutes

Answers

We will see that the distance between the home and the school is 0.5 miles.

How far from home is their school?

We know that they meet in school after 10 minutes.

So, the distance from home to school will be equal to the slowest of the speeds times 10 minutes (we assume that the faster one arrives at school earlier than in 10 minutes).

This will be:

3 miles per hour *10 minutes.

Note that the units are different, so we write 10 minutes in hours.

1 hour = 60 min.

(1/ 60) hour/min = 1.

Then:

10 min = 10 min*(1/ 60) hour/min = 0.167 hours.

Now we can find the distance to their school as:

D = 3 mi/h*0.167 h = 0.5 miles.

If you want to learn more about speed, you can read:

https://brainly.com/question/4931057

Answer:

2.5 miles

Step-by-step explanation:

big brain

Is 5 + 3(1 - x) equivalent to 8 - 8x?

Answers

Answer:

No, 5 + 3(1 - x) is NOT  equivalent to 8 - 8x.

Step-by-step explanation:

To see if they are equivalent to each other, we first need to simplify the first expression:

5 + 3(1 - x)

Distribute the 3 into the parenthesis:

5 + 3 -3x

Combine like terms:

8 - 3x

No, 5 + 3(1 - x) is NOT  equivalent to 8 - 8x.

Helena is an engineer that designs packaging for new products. She designed a box in the shape of a rectangular prism with dimensions of 10 inches by 7 inches by 4 inches. What is the surface area of the box? 138 square inches 276 square inches 280 square inches 441 square inches

Answers

Answer

276 square inches.

Step-by-step explanation:

Area of rectangular prism = 2(lb + bh + lh)

2(10*7 + 7*4 + 10*4)

2( 70 + 28 + 40)

2 * 138

276 square inches
please give me Brainliest

Answer:

answer is b

Step-by-step explanation:

Find the value of X and y in this figure

Answers

Answer:

Step-by-step explanation:

Divide and simplify. − 8 15 ÷ − 3 5 A) − 3 25 B) − 4 5 C) 13 15 D) 8 9
A 100 points

Answers

Step-by-step explanation:

- will be cancel

then

815/35= 23.28

Nothing is going in..i don’t understand

Answers

Answer:

Step-by-step explanation:

Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.

x

=

2

,

4

You can expand these and find the answer :

[tex]4^{6} : 4^{2} = 4.4.4.4.4.4 :4 : 4 = 4.4.4.4.(4:4).(4:4) = 4.4.4.4.1.1 = 4.4.4.4 = 4^{4}[/tex]

Basically, to simplify this, the only thing you have to do is minus the powers if divided, and add the powers of multiplied.

hello i have a question: when youre doing mean median range and mode, if you get the number 10.33 as the mean for example, do you round it to 10.30 or 10? or keep it as 10.33?? please help ty

Answers

Answer:

It depends on the question! You should look at the other values of the data and see what they are rounded to and apply it for the mean too. If not, I normally round it to 3 significant figures.

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