The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.

Answers

Answer 1

Answer:

461.6 ft³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3π(7²)(9)

= 49·3π

= 147(3.14)

= 461.6 ft³


Related Questions

Solve 7/w+4 =5/w+4-6/w

Answers

Answer:

w=-1+[tex]\sqrt{2}[/tex], w=-1-[tex]\sqrt{2}[/tex]

Step-by-step explanation:

A population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. If the population increases by the same percentage between 2011 and 2012, what will the population be in 2012

Answers

Answer: 1,599,960

Step-by-step explanation:

Since the population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. The percentage increase in population will be:

= (1.2 million - 900000) / 900000 × 100

= 300000/900000 × 100

= 33.33%

Since the population increases by the same percentage between 2011 and 2012, then the population in 2012 will be:

= (100% + 33.33%) × 1.2 million

= 133.33% × 1.2 million

= 1.3333 × 1.2 million

= 1,599,960

The population in 2012 is 1,599,960

Evaluate this expression
4cd

if

C = -4 and d = 3

Answers

Answer:

-48

Step-by-step explanation:

4(-4)(3)

-16(3)

-48

Answer:

4(-4) (3)

Step-by-step explanation:

put that in your calccalculator:)

It took 45 seconds to fill an 18 gallon container. At this rate how long will it take to fill a 40 gallon container

Answers

Answer:

[tex]18 \: gallons = 45 \: seconds \\ 40 \: gallons = ( \frac{40}{18} \times 45) \: seconds \\ = 100 \: seconds[/tex]

Please help just need to finish this class and I graduate thanos in advance

Answers

I believe that the answer would be c

What side has the same length as BC?

Answers

Answer:

DE

Step-by-step explanation:

You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.

Please help finals killing me

Answers

Answer:

Solution given:

1.

L.h.s.

cscx+cotx

[tex] \frac{1}{cosx}+\frac{cosx}{sinx}[/tex]

[tex]\frac{1+cosx}{sinx}[/tex]

multiplying and dividing by (1-cosx)

[tex]\frac{(1+cosx)(1-cosx)}{sinx(1-cosx)}[/tex]

[tex]\frac{1-cos²x}{sinx(1-cosx)}[/tex]

we have

1-cos²x=sin²x

[tex]\frac{sin²x}{sinx(1-cosx)}[/tex]

[tex]\frac{sinx}{1-cosx}[/tex]

=R.h.s.

proved.

2.

l.h.s

[tex]\frac{tan y}{1-cot y}+\frac{cot y}{1-tany}[/tex]

[tex]\frac{\frac{sin y}{cos y}}{1-\frac{cos x}{siny}}+\frac{\frac{cos y}{sin y}}{1-\frac{siny}{cos y}}[/tex]

[tex]\frac{\frac{sin y}{cos y}}{\frac{siny -cos y}{siny}}+\frac{\frac{cos y}{sin y}}{\frac{cos y-siny}{cos y}}[/tex]

[tex]\frac{sin²y}{cos y(siny-cosy)}+\frac{cos ² y}{sin y(cos y-siny)}[/tex]

[tex]\frac{sin²y}{cos y(siny-cosy)}- \frac{cos ² y}{sin y(-cos y+siny)}[/tex]

[tex] \frac{sin³y -cos³y}{sinycosy(siny -cosy)}[/tex]

[tex] \frac{(sin y- cos y)(sin²y+sinycosy+cos²y)}{sinycosy(siny -cosy)}[/tex]

[tex] \frac{sin²y+cos²y +siny cosy}{sinxcosy}[/tex]

[tex] \frac{1+sinxcosy}{sinycosy}[/tex]

[tex]\frac{1}{sinycosy}+1[/tex]

1+cscysecy

R.h.s.

proved.

og ready.com/student/dashboard/home
A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle mo
each time the wheel goes around? (Use as an approximation for 7.)
88 inches
64 inches
44 inches
56 inches

Answers

Answer:

88 in

Step-by-step explanation:

we have to find the circumference of the circle which is ;

C = pie d

= 22/7 x 28

= 88 in

A boat is heading towards a lighthouse, where Serenity is watching from a vertical distance of 141 feet above the water. Serenity measures an angle of depression to the boat at point A to be
9°. At some later time, Serenity takes another measurement and finds the angle of depression to the boat ( now at point B ) to be 61°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.



Please help me

All the pts I have ​

Answers

A boat is heading towards a lighthouse, where Serenity is watching from a vertical distance of 141, the distance from point A to point B. is mathematically given as

BC=78.1575

What is the distance from point A to point B.?

Generally, the equation for the angle is mathematically given as

[tex]tan\theta=\frac{oop}{adj}[/tex]

Therefore

[tex]tan\theta=\frac{141}{AC}[/tex]

Therefore

[tex]AC=\frac{141}{tan 9}[/tex]

AC=890.2389

In conclusion, with triangle BDC

[tex]tan61=\frac{141}{BC}[/tex]

Therefore

BC=141/tan61

BC=78.1575

Read more about distance

https://brainly.com/question/989117

#SPJ1

pls help asap thanks <3

Answers

Answer:59

Step-by-step explanation:

beacause you need to added them all together

2.75 Cards are dealt, one at a time, from a standard 52-card deck. a If the first 2 cards are both spades, what is the probability that the next 3 cards are also spades

Answers

Answer:

The answer is "0.00842".

Step-by-step explanation:

Due to these cards, a conventional 52-card set is dealt one at a time.

While the first two cards are spades, then it would be expected that we could find the next three cards tents, too.

Let A draw 2 spade cards out of 52 cards. Let B become the occasion to draw 3 spade cards the remaining 50 end cards [tex](A \cap B)[/tex] was its case where a 52 card spade is chosen [tex](2+3)=5[/tex].

The number of plots drawn first from 13 regular 52-cerd decks equals number of,[tex]n(A)=\binom{13}{2}[/tex]  probability of event [tex]A, PA =\frac{\binom{13}{2}}{\binom{52}{2}}[/tex]

Furthermore, the multitude of possibilities we can pull from of the remaining 11 spades of the previous 3 cards is 50-card decks standard, [tex]n (B) = \binom{11}{3}[/tex]  then, the probability of event, [tex]B, P(B)=\frac{\binom{11}{3}}{\binom{50}{3}}[/tex]

The chances of five cards being drawn (three spades and two spades),

[tex]P(B \cap A)=\frac{\binom{13}{5}}{\binom{52}{5}}[/tex]

Then there is the chance that the next three cards will be picked if the first two are both pads, [tex]P(\frac{B}{A})[/tex]

[tex]\to P(\frac{B}{A}) \\\\ =\frac{P(B\cap A )}{P(A)}\\\\=\frac{\frac{\frac{13}{5}}{\frac{52}{2}}}{\frac{\frac{13}{2}}{\frac{52}{2}}}\\\\= 0.00842[/tex]

How do the absolute values of - 12.5 and 11.5 compare? Choose a symbol to make the statement true.

Answers

Answer:

Step-by-step explanation:

11.5 is greater than -12.5

Answer: -12.5 is greater

-

Step-by-step explanation:

Hi plz help, if you can ill mark you 5 starz! :)

Answers

Answer:

The answers are B, D, and E

Step-by-step explanation:

Answer:

I think B, D, E! Sorry if it's wrong!

Step-by-step explanation:

Only ones that fits the plot!

Corrie is 5 inches taller than Jason who is 4 ft. 9 in. Jennifer is
8 in shorter than Corrie. How tall are Corrie and Jennifer?
(Express answers in simplest terms.)
Corrie_______.
Jennifer_______.​

Answers

Answer:

Corrie = 5 ft.  2 in.

Jennifer = 4 ft.  6 in.

Step-by-step explanation:

If you convert Jason's height to inches then it would be 57 in.

4 x 12 = 48 in.     48 + 9 = 57 in.

To find Corrie's height you just have to add 5 inches to Jason's height.

57 + 5 = 62 in.

And to find Jennifer's height you just subtract 8 inches from Corrie's height.

62 - 8 =  54 in.

Now all you need to do is convert Corrie and Jennifer's height into feet. You have to divide Corrie and Jennifer's height by 12 inches. And if there are leftover or remaining numbers once you divide, they are just inches that you add on after the feet.

Jennifer's height =  54 / 12 = 4 feet and 6 inches are left over.

Corrie's height = 62 / 12 = 5 feet and 2 inches are left over.

What combination of translation is shown below?

Answers

reflection, then translation

Marina starts with $20 in her bank account and she saves $5 each week. Robby has $100 in his bank account, and he saves $2.50 each week. After how many weeks will Macy and Robby have the same amount in their accounts and how much money will that be? Write a system of equations to solve.​

Answers

Answer:

32 at 180

Step-by-step explanation:

If CP = RS 3000 and SP=RS 3300 find profit percentage​

Answers

Answer:

Step-by-step explanation:

CP=Rs 3000

SP=Rs 3300

since SP is greater than CP there is profit

profit%=sp-cp/cp*100%

=3300-3000/3000*100%

=300/3000*100%

=(300*100/3000)%

=30000/3000%

=10%

Answer:

10 percent

Step-by-step explanation:

cp=Rs3000

sp=Rs3300

so cp<sp there is profit

profit=sp-cp

=Rs3300-Rs3000

=Rs300

Now

profit percent =profit × 100percent

cp

= 300 ×100

3000

=10percent

hope it helps

the question below in the file, which shows the number in order from greatest to least?

Answers

Answer:

c

Step-by-step explanation:

a and b start with negative numbers meaning it couldnt be the greatest, then d shoes a negative number second so that cant be it

slope= -1/2, y-intercept = 4​

Answers

Answer:

y=-1/2x+4

Step-by-step explanation:

y=mx+b

where m=slope and b=y-intercept

so

y=-1/2x+4

PLEASEEEEEE HELPPPP IM BEGGING ISOMEONE PLEASEEEE​

Answers

Answer:

Reason : by ASA , x = 36

Step-by-step explanation:

∠ABC = ∠EBD      (vertically opposite angle)

BC = BD = 54        (same length)

∠BAC = ∠BDE       (alternate interior angles)

By ASA , ΔABC ≅ ΔDBE

[tex]54 \times x = 36 \times 54\\\\x = 36[/tex]

Therefore AB:BD = CB:BE
AB/BD= CB/BE
36/54=54/BE
36BE= 54 x 54
BE= 54 x 54 / 36
BE = 81

Regards,
Armycee:)

A baker makes a circular cake that has a radius of 7 inches. If
the baker wants to cover the top of the cake with frosting, how
much frosting should the baker use?

Answers

9514 1404 393

Answer:

  154 in²

Step-by-step explanation:

The area of the cake top is given by the formula for the area of a circle.

  A = πr²

Here, it is convenient to use the approximation π ≈ 22/7, so we have ...

  A = (22/7)(7 in)² = 154 in²

The baker should use 154 square inches of frosting for the top of the cake.

sume that the change in daily closing prices for stocks on the New York Stock Exchange is a random variable that is normally distributed with a mean of $0.35 and a standard deviation of $0.33. Based on this information, what is the probability that a randomly selected stock will close up $0.75 or mor

Answers

Answer:

0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of $0.35 and a standard deviation of $0.33.

This means that [tex]\mu = 0.35, \sigma = 0.33[/tex].

What is the probability that a randomly selected stock will close up $0.75 or more?

This is 1 subtracted by the p-value of Z when X = 0.75. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.75 - 0.35}{0.33}[/tex]

[tex]Z = 1.21[/tex]

[tex]Z = 1.21[/tex] has a p-value of 0.8869.

1 - 0.8869 = 0.1131

0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.

Plz help me well mark brainliest if correct!!.....

Answers

12 and 13 have the same amount of students. so B or C will work. please mark brainliest

A while back, Caleb paid a car insurance
premium of $3,530 per year. Now he pays 20%
more. What does Caleb pay now?
$
Submit

Answers

He now pays $706.

$3,530 x 20% = $706
Answer: $4236
Explanation: 120% of 3530 of 4236

The Briarwood Middle School Chess club has 75 members. Of those members, 15 are 7th graders. What percent of the chess club members are not 7th graders?

(Proportional Reasoning)....

I would really appreciate, if you answered.

Answers

Answer:80

Step-by-step explanation: I am not 100% sure this is right but what i did was 75 - 15 =60, 60/75 in percentage is 80%

Sarah had 6 candy canes. She wanted to give each of her friends 1/3
of a candy cane. How many friends would receive a piece of candy?​

Answers

18 friends

Explanation:
I saw many questions like this. Just use division:
6 ÷ 1/3 = 18

Trust me, this is easy math

A brainliest would be nice, just talk to me back if my answer is correct!
-SpaceMarsh

How to put -2(-6x+3y-1) in distributive property

Answers

Answer:

12x - 6y + 2

Step-by-step explanation:

What is the common ratio of the geometric sequence 4, 16, 64, 256? * please help

Answers

Answer:

4

Step-by-step explanation: 16/4=4

D
Find mZW.
X
WK (11x - 29)
Z
(6x + 5)
mZW

Answers

Answer:

m<W = 103°

Step-by-step explanation:

First, find the value of x

m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)

11x - 29 + 6x + 5 = 180 (substitution)

Add like terms

17x - 24 = 180

Add 24 to both sides

17x = 180 + 24

17x = 204

Divide both sides by 17

17x/17 = 204/17

x = 12

Find m<W:

m<W = 11x - 29

Plug in the value of x

m<W = 11(12) - 29 = 132 - 29

m<W = 103°

The square below has area 100. Find the area of the shaded region.

Answers

Answer:

21.46

Step-by-step explanation:

Start with the square

[tex]A = a^{2} \\100 = a^{2}\\10 = a[/tex]

Each side of the square is 10

This also means the diameter of the circle is 10, with a radius of 5

[tex]A = \pi r^{2} \\A = \pi 5^{2} \\A = 78.54[/tex]

Now substract the area of the circle from the square

x = 100 - 78.54

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