A cone has a volume of 350 cubic meters. The area of the base is 70 square meters. What is the height of the cone? Show work

Answers

Answer 1

Answer: The height is 15

Step-by-step explanation:

Vcone =  pi * r^2 * h  / 3

Area of the base  =  pi*r^2  = 70   so...

350  = 70 * h / 3  

350  = (70/3) * h     multiply both sides by 3/70

350 (3/70)  = h  = 15 m


Related Questions

A 3-column table with 3 rows. Column 1 is labeled Unit Fraction with entries StartFraction 1 Over 10 EndFraction, one-fourth, c. Column 2 is labeled Fraction with 100 in the denominator with entries StartFraction 10 Over 100 EndFraction, b, StartFraction 50 Over 100 EndFraction. Column 3 is labeled Percent with entries a, 25 percent, 50 percent.
Complete the table by finding the missing equivalent form for each row.

a =
b =
c =

Answers

The missing equivalent forms are: a = 10%,  b = 25/100 and c = 1/2

Complete question

Unit Fraction   Fraction with 100 in denominator      Percent

1/10                              10/100                                             a

1/4                                  b                                                  25%

c                                  50/100                                           50%

Complete the table by finding the missing equivalent form for each row.

How to determine the missing equivalent forms?

From the above table, we have the following equations

a = 10/100

b = 25%

c = 50/100

The variable a must be in percentage.

So, we have:

a = 10/100

Express as percentage

a = 10%

The variable b must be a fraction with 100 in denominator

So, we have:

b = 25%

Express as fraction

b = 25/100

The variable b must be a unit fraction

So, we have:

c = 50/100

Divide the fraction by 50/50

c = 1/2

Hence, the missing equivalent forms are:

a = 10%,  b = 25/100 and c = 1/2

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How would you know the answer (important)

Answers

Answer:

okay so I can't see the last option on ur sheet but when u graph this equation the point that lies on the curve is (2,-3) so that is the vertex but if I move up this curved line it passes through the Y axis at (0,-1), the Last answer that I can't see it wouldn't happen to be (-1,6) would it

if f(x)=x+10 find f(7)

Answers

Answer:

17

Step-by-step explanation:

→ Substitute 7 f(x) into the function

7 + 10

→ Solve

17

Answer:

f(7) = 17

Step-by-step explanation:

To find f(7), substitute x = 7 in the function. Thus, you will receive:

[tex]\displaystyle{f(7)=7+10}\\\\\displaystyle{f(7)=17}[/tex]

Henceforth, the value of f(7) is 17.

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Determine if an exponential would be an appropriate model for the data shown in each scatter plot. Select
one that applies.

Answers

Answer:

Yes, No, No

Step-by-step explanation:

The function of an exponential graph is attached below. The first graph fits the look of an exponential graph. The rest do not.

Answer:

Yes, No, No

Step-by-step explanation:

1st graph represents exponential2nd graph represents quadratic3rd graph represents linear

A theme park had 1099 visitors in 3 days. There were twice as many visitors on saturday than on Friday. There were 234 more visitors on Sunday than on Saturday. How many visitors were there on Saturday?

Answers

Answer:

346

Step-by-step explanation:

Visitors on Friday(x)+Visitors on Saturday(2x)+Visitors on Suday(2x+234)

x+2x+2x+234=1099

5x+234=1099

5x=1099-234

5x=865

x=865/5

x=173

So, visitors on Saturday = 2x = 346

Can someone please help me? I’ll give brainliest to the first person who gets it right

Answers

Answer:

128 degrees

Step-by-step explanation:

B = D

B = 128

Therefore, D = 128

This shape has these characteristics:

 ⇒ there are two sets of parallel sides

      ⇒ This shape is a parallelogram

Since this shape is a parallelogram:

  ⇒ meaning that angles opposite to each other

       ⇒ equal in measure

Since ∠B and ∠D are opposite each other

  ⇒ ∠D = 125°

Answer: ∠D = 125°

Hope that helps!

Charlotte practices the piano for 4 hours each week. How many minutes does she practice each week?

Answers

charlotte practices 240 minutes per week

Answer:

4 X 60 = 240 minutes

Step-by-step explanation:

there are 60 minutes in each hour

find in factord form -9n+n^2=0

Answers

Answer:

n(-9+ n) =0

Step-by-step explanation:

-9n+n^2=0   Kind of use 'reverse distributive' property

n (-9 + n) = 0

Mirele needs to buy fencing to completely surround her backyard pool. How much fencing should she buy?

A pool has a length of 31.74 feet and a height of 14.85 feet.

Answers

Answer:

93.18 feet

Step-by-step explanation:

Length of backyard pool = 31.74 feet

Height of backyard pool = 14.85 feet

To find = Use the formula for the perimeter of a rectangular pool.

= 2 ( length + height )

Length of fencing bought by Mirele:

2 ( 31.74 + 14.85 ) = 2 ( 46.59 ) = 93.18 feet

20 percent of 180 hours

Answers

Answer:

36 hours

Step-by-step explanation:

To find the percentage of a number, change the percent to decimal form

20 percent = .20

Multiply this by the number

.20 * 180

36

20 percent of 180 = 36

WHAT DOES THIS MEAN???

"If you take Nia out for mexican food, have an air freshener on standby."

Answers

Answer: Beans cause Nia to Fart!

Step-by-step explanation:

Mexican food usually contains beans, which beans are a known catalyst of flatulence. Beans induce farts and Nia does so! Farts usually stink, so an air freshener is needed.

urgent help algebra 2 quick please

Answers

Answer: y = -3/2x + 6, y intercept is (0, 6)

Step-by-step explanation: You are dividing 2 from both -3x and 12. -3/2x cannot be simplified any further unless it's a decimal, so we leave it as -3/2x. But, since the equation was y = -3x+12 originally, we divide 12 from 2 as well and not just from 3x, and we get 6.

Hope this helped.


A rectangular basketball court measures with a length of 82yds and
Width of 38 yards What is the perimeter and area?

Answers

Answer:

area:3116  perimeter:240

Step-by-step explanation:

the formula of area is always length x width=82x38                                                                             =3116the formula for the perimeter is always length+length+width+width=82+82+38+38                                                =240

Hii!

__________________________________________________________

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer:}\circ\leftharpoonup}}[/tex]

Pelet'rimeter =

Area = 3116 cm^2

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation:}\circ\leftharpoonup}}[/tex]

[tex]\bullet[/tex] Let's work out the perimeter

[tex]\twoheadrightarrow\sf P=2(a+b)[/tex]. a=length & b=width

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf P=2(82+38)[/tex]

[tex]\bullet[/tex] Perform the addition operation

[tex]\twoheadrightarrow\sf P=2\cdot120[/tex]

[tex]\bullet[/tex] Multiply and obtain the perimeter

[tex]\twoheadrightarrow\sf P=240cm[/tex]

[tex]\bullet[/tex] Now let's find the area

[tex]\twoheadrightarrow\sf A=lw[/tex] l=length w=width

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf A=82\cdot38[/tex]

[tex]\bullet[/tex] Multiply and obtain the area

[tex]\twoheadrightarrow\sf A=3116cm^2[/tex]

--

Hope that this helped! Best wishes.

[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]

--

The radius of a circle is 0.00012 * 10 ^ 5 * f * t . What is the area of the circle? Use the formula A = pi * r ^ 2

Answers

Answer: [tex]144\pi[/tex] square feet

Step-by-step explanation:

[tex]A=\pi(0.00012 \times 10^{5})^{2}=\boxed{144\pi \text{ ft}^{2}}[/tex]

if m=p/2+3r. find the value of p if r=1 and m=5​

Answers

Answer:

p = 4

Step-by-step explanation:

[tex]m =\frac{p}{2} +3r[/tex]

[tex]\Longrightarrow m-3r=\frac{p}{2}[/tex]

[tex]\Longrightarrow 2m-6r=p[/tex]

[tex]\Longrightarrow p = 2m-6r[/tex]

If m = 5 and r = 1

Then

p = 2(5) - 6(1)

  = 10 - 6

  = 4

A binomial experiment has the given number of trials N and the given success probability P.

N=8 and P=0.1
P(1)

Answers

The probability of the success will be 0.3826.

What is binomial distribution?

Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

[tex]\rm P(x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

We have

n = 8

p = 0.1

q = 1 – 0.1 = 0.9

x = 1

Then we have

P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷

P(1) = 0.3826

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Find slope:
(3,7) & (6,-1)​

Answers

Answer:

-8/3

Step-by-step explanation:

Slope = (-1-7)/(6-3) = -8/3

Answer:

-8/3

Step-by-step explanation:

You can use the slope formula which is (y2 - y1) / (x2 - x1). So using these values we get

(-1 - 7) / (6 - 3) = -8/3

math questionawdAawdadaDaWD

Answers

Substitute 5 in the place of X

[tex]f(x) = \frac{1}{8} \times 4 ^{x} \\ f(5) = \frac{1}{8} \times 4 ^{5} \\ f(5) = \frac{1}{8} \times 1024 \\ f(5) = 0.125 \times 1024 \\ f(5) = 128[/tex]

The asnwer is D

PLEASE GIVE BRAINLIEST

16. You found a shortcut to school that saves 5 minutes off of taking the freeway. About 1 in every 10 trips
you get stuck behind a bus and it ends up taking you 20 minutes longer than the freeway. What is the expected
value of the shortcut?

Answers

Answer:

  it saves 2.5 minutes

Step-by-step explanation:

The expected value of a random variable is the sum of products of possibilities and the probability of each.

Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.

__

The expected value of the shortcut is ...

  0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5

The shortcut is expected to save 2.5 minutes on average.

_____

Additional comment

The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.

Skyler, Robert, and Kaitlyn all solve the same exponential problem but have different approaches. Skyler Robert Kaitlyn 729=9 729=9 729=9 (36)=9 (93)=91 (36)=32 6x = 9 3x = 1 6x = 2 x = 96 x = 13 x = 26 x = 32 x = 13 Explain Sklyer's processes. Is Skyler correct? If not, where did she go wrong? Explain Robert's processes. Is Robert correct? If not, where did he go wrong? Explain Kaitlyn's processes. Is Kaitlyn correct? If not, where did she go wrong?

Answers

The justification for whether Skyler, Robert, or Kaitlyn was right or wrong stems from how they went about their processes:

Skyler erred by failing to equalize the bases of both sides before equating the exponents.Robert is right since he equalized the exponents before comparing the bases of the two sides.Since Kaitlyn made the bases of both sides equal before equating the exponents, she is accurate.

1) SKYLER'S PROCESS:

Skyler wants to resolve the following issue;

Reduce 729 to the lowest base possible as a first step; [3^(6)]^x = 9

729^(x) = 9

The next thing she did was convert 6x to 9.

Since both sides must have the same base when dealing with exponent equality, she may have transformed 9 to have the same base of 3 as the left hand side before equating the exponents.

So Skyler is wrong.

2) ROBERT'S PROCESS:

Skyler failed to capture both bases equally, as we witnessed, but Robert has now made the right decision by;

9^(3x) = 9¹

After which he equated the exponents to get;

3x = 1

x = 1/3

Thus; Robert is correct

3) KAITLYN'S PROCESS:

Kaitlyn is also accurate since she adhered to the same method, which calls for comparing bases before comparing exponents.

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Write and simplify the equation you would use to solve the problem below.

A farmer builds a rectangular pen with a perimeter of 116 feet. If the length is 5 feet more than the width, what is the width?
A.w + 5 = 116
B.4w + 10 = 116
C.2w + 5 = 116
D.2w + 10 = 116

need a hand i cant figure this one out

Answers

Answer:

4w + 10 = 116

Step-by-step explanation:

Call the width w.

The length is 5 more than that, so the length is w + 5

Perimeter is 2w + 2l

2w + 2(w+5) = 116

Distribute the 2 to the values in the parentheses.

2w + 2w + 10 = 116

Combine like terms

4w + 10 = 116

Find the jacobian of the vector valued function F(v) = [3x*2y, 5xx, 9yy]

Answers

Answer:

F(v)=0

Step-by-step explanation:

F(v) = [3x*2y, 5xx, 9yy]

Calculate the product

F(v) =[tex]\frac{d}{dv\\}[/tex] [3x*2y, 5x*x, 9y*y]

The derivative of a constant is always 0

F(v) =[tex]\frac{d}{dv\\}[/tex]((6xy,5[tex]x^{2}[/tex],9[tex]y^{2}[/tex]))

f(v)=0

Find each percent of change. 30 is decreased to 6

Answers

Answer:

80

Step-by-step explanation:

we know that 1 percent of 30 is just 30 / 10 which is 3. Is 6 a multiple of 3? yes it is. 6 / 3 = 2. that means 6 is 20 percent of 30 but it hasn't been decreased by 6, it is 6. meaning that the answer is 100 - 20 which is 80

The percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
(A) Predict when the percentage will be 47%
(B) Predict the percentage in 2005.

Answers

Using a linear function, we have that:

The percentage will be 47% during the year of 2001.The predicted percentage in 2005 is of 44.97%.

Given that, the percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.

What is a linear function?

Linear functions are those whose graph is a straight line. The standard form of the linear function is f(x)=y= mx + b. A linear function has one independent variable and one dependent variable.

Where, m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0 and can also be interpreted as the initial value of the function.

The percentage in 1980 is considered as the initial amount, so b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by: m = (50.5 - 58.8)/15 = 0.5533.

Thus, the percentage in t years after 1980 is P(t) = 58.8 - 0.5533t.

Now, t + 1980, for which P(t) = 47.

So, P(t) = 58.8 - 0.5533t

47 = 58.8 - 0.5533t.

0.5533t = 11.8.

t = 11.8/0.5533

t = 21.3.

1980 + 21 = 2001, so the percentage will be 47% during the year 2001.

Now, 2005 is 25 years after 1980, so the percentage is P(25), given as follows: P(25) = 58.8 - 0.5533x25 = 44.97%.

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There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does this situation represent a linear or non-linear function, and why?

Answers

Answer:

linear; the rate of change is constant

Raphael and Martina are engaged and are planning to travel to Las Vegas during the 2020 Christmas season and get married around the end of the year. In 2020, Raphael expects to earn $45,400 and Martina expects to earn $15,800. Their employers have deducted the appropriate amount of withholding from their paychecks throughout the year. Neither Raphael nor Martina has any itemized deductions. They are trying to decide whether they should get married on December 31, 2020, or on January 1, 2021. What do you recommend? Use the appropriate Tax Tables.

Answers

After taking into consideration the advantages in tax management, it will not be beneficial for Raphael and Martina to get married and avail tax benefits.

What are tax benefits?

The individual taxable incomes of Raphael and Martina after availing the standard deductions will be $33,000 and $3,400 respectively. Now the computation of taxation liabilities will be computed as,

For Raphael, 10% of $33,000= $3,300;

For Martina, 10% of $3,400 = $340.

However, the joint income will be $61,200 and taxation liabilities of Raphael and Martina will be,

[tex]\rm Taxable\ Income = Total\ Income - Standard\ Deduction\\\\\rm Taxable\ Income =61200-24800\\\\\rm Taxable\ Income =\$36400[/tex]

Solving further,

[tex]\rm Joint\ Taxation = (\frac{10}{100}\ x\ 19750) + (\frac{12}{100}\ x\ 16650)\\\\\rm Joint\ Taxation = 1975+1998\\\\\rm Joint\ Taxation = \$3973[/tex]

Now, it can be compared that the joint taxation is higher than the summation of individual taxation of Raphael and Martina, and thus, tax benefits are not enough for Raphael and Martina to get married.

Hence, the tax benefits of Raphael and Martina after getting married are given as above.

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-
Find the area of a rectangle with a length of 15 inches and a width of 9 inches. The area of the rectangle is
inches. Enter only the number.
The solution is
square

Answers

135inches2

Step-by-step explanation:

by multiplying both length and width you can get the sum

again with this please​

Answers

Answer:

a) A dozen= 24

3 dozen= 24 x 3

= 72

b) 1 dozen= 12 bananas

A dozen cost= 24

So, 1 banana cost= 24/12

= 2

So, 6 bananas would be 2 x 6 = 12

c) 1 dozen= 12 bananas

A dozen cost= 24

1 banana cost= 24/12

= 2

d) I need to know how many people are there in your class so please mention that first :)

Mark me brainliest pleaseee

Write an explicit rule to represent the sequence:
20, 24, 28, 32, 36,...
a) f(n)=4n+20
b) f(n)=4n+16
c) f(n)=4n+24
d) f(n)=4n+12

Answers

Answer:

b)f(n)=4n+16

Step-by-step explanation:

if n=1

substitute 1 for n in the equation

f(1)=4(1)+16

=4+16

=20

f(2)=4(2)+16

=8+16

=24

And so on

I need a walk through please 1​

Answers

Answer:

[tex]f(x) = \frac{\sqrt{x+2}} 9[/tex]

Step-by-step explanation:

You work in the order you have: you start with your number x, so your first step will be [tex]f_0(x)=x[/tex]. then you add 2: [tex]f_1(x) =x+2[/tex]. Then you take the square root of what you have in the previous step: [tex]f_2(x) = \sqrt {x+2}[/tex]. Finally, you divide by 9: [tex]f(x) = \frac{\sqrt{x+2}} 9[/tex]

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