The volume of a right cone is 41251 unit. If its diameter measures 30 units, find its
height.

Answers

Answer 1

Volume is a three-dimensional scalar quantity. The height of the cone is 175.075 units.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the right cone is 41,251 unit³, while the diameter of the cone is 30 units. Therefore, the radius of the cone is 15 units. Thus, the height of the cone will be,

Volume = (1/3)×π×r²×h

41,251 = (1/3)×π×(15²)×h

h = 175.075 units

Hence, the height of the cone is 175.075 units.

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Related Questions

Find the value of x to the nearest tenth!!

Answers

Answer: sqrt(55)
Hypotenuse of triangle on the right is 3sqrt(5) so if you plug that in for b on the triangle on the left you get sqrt(55) for your answer

Juan borrowed $10 from his cousin. He borrowed another $30 from his uncle. Juan bought a $10 lottery ticket and won $100. How much money will Juan have after he pays his cousin and uncle back?

Answers

Answer:

$90

Step-by-step explanation:

Since Juan pays back the $10 and $30 he borrowed from his cousin and uncle they do not affect the total outcome ($10+$30-$10-$30=0)

Subtract the price of the ticket from the total amount he won.

$100-$10=$90

What is the solution to:
2x - 8 < 12

a. x < 2
b. x < 8
c. x < 10
d. x < 40

Answers

     - -- - - -- - - - -- - - - - -- - - - - -- - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - -- - -

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the solution to 2x-8<12

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, add 8 on both sides:-

2x<12+8

2x<20

Divide by 2 on both sides:-

x<10 (Option C)

So the numbers less than 10 will make this inequality true.

Good luck.

              - -- - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - - -

ANSWER FAST PLEASSEEEEE
The information in the table shows the average weekly temperatures in degrees Fahrenheit of four cities.

Which city’s data set is bimodal?
A. City A
B. City B
C. City C
D. City D

Answers

Finding the mode of each data-set, the bimodal city's data is given by:

C. City C.

What is the mode of a data-set?

It is the value that appears the most times in the data-set. If two values appear the same number of sets, the data-set is called bimodal.

Hence, looking at the table:

For City A, 10 appears three times, hence it is the only mode.For City B, 25 appears five times, hence it is the only mode.For City C, 42 and 66 each appear three times, hence they are the modes, and the data-set is bimodal.For City D, 78 appears three times, hence it is the only mode.

Hence option C is correct.

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The region outside the circle r = 2 and inside the circle r = -4sin

Answers

The area of the region which is inside the curve r = -4 sinθ but outside r = 2 will be 4.21 square units

What is an area bounded by the curve?

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The region outside the circle r = 2 and inside the circle r = - 4 sinθ.

Then the intersection point will be given as

[tex]\rm 2 = -4 \sin \theta\\\\\theta = 3.66519 ,5.7595[/tex]

Then by the integration, we have

[tex]\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [(-4\sin \theta)^2 - (2)^2] dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [16 \sin ^2 \theta - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [ 8(1- \cos 2\theta -) - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [4 - \cos 2\theta] dx\\\\\\[/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4\theta + \dfrac{1}{2} \sin 2\theta \right ]_{3.6652}^{5.7595} \\\\\\\rightarrow \dfrac{1}{2} \left [ 4(5.7595 - 3.6652) + 0.5 (0.19969-0.12759) \right ][/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4(2.0943) + 0.5 (0.0721) \right ]\\\\\rightarrow \dfrac{1}{2} \left [ 8.41325 \right ]\\\\\rightarrow 4.2066 \approx 4.21[/tex]

Thus, the area of the region is 3.75 square units.

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This table displays the height of a plant seedling as it grows over
Plant Heights
the course of an experiment.
Week
Height (cm)
Select the answers from the drop-down menus to correctly
complete the statements.
0.75
2
0.9
The attribute being measured is
The
3
1.1
unit of measurement is
There is a total of
4
1.25
observatia
Choose.
weeks
1.6
centimeters
2.0

Answers

The attribute being measured is the height of plant seedlings. The unit of measurement is centimeters. There are a total of 6 observations.

What is the information that is being measured?

The table displays weeks and the plant's height. From the table, it can be seen that the height of the plant increases with the passage of time. Thus, the attribute being measured is the height of plant seedlings.

The number of data points on the table is 6. This is the total number of observations.

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There were 93 students out of school of this is 12 % of the total number of students how many students are enrolled at the school

Answers

Answer:

the mid point of

a line segment is M(-3,2)one end point of the segment isP(1,-3)find the coordinates of the end point

Find the area and perimeter of this shape.

Answers

Answer:

55

Step-by-step explanation:

since, it is a parallelogram we can find the area easily just by multiplying the base and height

A=bh

A=55m2

the solution set of |R-3| = 10 is

Answers

[tex]~~~~~~|R-3| = 10\\\\\implies R -3 = 10~~~~~~ \text{or}~~~~~~~R -3 = -10\\\\\implies R = 10+3~~~~~~\text{or}~~~~~~~R = -10+3\\\\\implies R = 13~~~~~~~~~~~ \text{or}~~~~~~~R = -7\\\\\text{Solution set:} ~\{-7,13\}[/tex]

Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y.
x<

y >

Answers

Answer:

x ≤ 16y ≥ 16

Step-by-step explanation:

-150x ≥ − 2,400 

[tex]\Longrightarrow -\frac{1}{150} \times \left( -150\right) x \leq -\frac{1}{150} \times \left( -2400\right)[/tex]

[tex]\Longrightarrow x\ \leq \frac{-2400}{-150}[/tex]

[tex]\Longrightarrow x\ \leq 16[/tex]

===============

-336 ≥ − 21y

[tex]\Longrightarrow -\frac{1}{21} \times \left( -336\right) \leq -\frac{1}{21} \times \left( -21\right)y[/tex]

[tex]\Longrightarrow 16\geq y[/tex]

[tex]\Longrightarrow y\geq 16[/tex]

What are the square roots of 36100?

−9/25 and 9/25
−6/25 and 6/25
−6/10 and 6/10
−18/50 and 18/50

Answers

Answer: Heyaa!!

its 3/5 :)

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you

- Matthew <333

Answer:

The square root of 36/100 is c. -6/10 and 6/10

Step-by-step explanation:

as of right now im not sure how to confirm this other then a calculator, but it is mathmatically correct

also with mathews answer, 3/5 = 6/10 so be sure to look at his explanation as well

((if you happen to know, please let me know in the comment below!!))

Find the area of the triangle.

Answers

Answer:

9th ones answer is 4.

10th ones answer is 150 units.

7 the ones answer is 30sq cm.

6th one the statements A and B are right.

8 the ones answer is 240 cm².

Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of
f(5) − f(1)?

Answers

Answer:

Step-by-step explanation:

By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that

f'(c) = [f(6) - f(1)]/ (6 - 1)

So, f(6) - f(1) = 5f'(c).

Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20

So, f(6) - f(1) is between 10 and 20.  

Please Help ! Its a math problem !!! Given the tables below, what is the difference between the average rates of change over the interval [1, 4]?

Answers

Answer:

-4

Step-by-step explanation:

Average rate of change (Table 1) :

A(x) = h(4) - h(1) / 4 - 1A(x) = 9 - 3 / 4 - 1A(x) = 6/3 = 2

Average rate of change (Table 2) :

A(x) = j(4) - j(1) / 4 - 1A(x) = 0 - 6 / 4 - 1A(x) = -6/3 = -2

Difference : -2 - 2 = -4

helpp asap 59 points

Answers

Answer:

A=7

B=10

C=2

D=2

Surface area= 208

Pretty sure this is correct.

80% of what number is 52

Answers

41.6

Because 80% goes in 50, 40 times

HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

To do this I am pretty sure your going to have to do some hard calculations.

Lets go deeper

so because it is a rectangle every angle is a right angle according to the property of a rectangle.

A right angle is 90 degress

So 8x+18=90
90-18=72

8x=72

72/8=9

x=9

Feel free to do brainlest if correct

You have 8 shirts and 5 pairs of pants. How many outfits are there?

Answers

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Given }}}[/tex]

➣8 shirts➣5 pairs of pants✛ To find ✛total outfits we can?

[tex] \large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}[/tex]

➣ total number of outfits you can have is

[tex] \rm{➾ \: total \: outfits \: you \: can \: have = \: 8 \: shirts \times 5pairs \: of \: pants} \\ \rm{➾ \: total \: outfits \: you \: can \: have =\: 40}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

equivalent to square root of 5 times the square root of 20

Answers

the answer is ten it's simple to multiply

Help m knnnnnbbbbbbbbbbbbbbbbbb

Answers

Answer:

25% of the bear getting picked

Step-by-step explanation:

since there are 4 options and we base of 100% we divide by 4 beacsue there are 4 options

100/4 = 25%

(7z+1) + (-4z-5) simplify

Answers

Use the foil method!

Step-by-step explanation:

[tex] = (7z + 1) + ( - 4z - 5)[/tex]

[tex] = 7z + 1 - 4z - 5[/tex]

[tex] = 7z - 4z + 1 - 5[/tex]

= 3z - 4

hence 3z - 4 is the answer...

hope it helped !!!

In the diagram, A||B and B||C . Find the values of X

Answers

keeping in mind that an absolute value expression is really a duet in disguise, namely there's positive and negative version of it, Check the picture below.

[tex]\pm (3x+12)~~ = ~~105 \\\\[-0.35em] ~\dotfill\\\\ +(3x+12)~~ = ~~105\implies 3x=93\implies x=\cfrac{93}{3}\implies \boxed{x=31} \\\\[-0.35em] ~\dotfill\\\\ -(3x+12)~~ = ~~105\implies 3x+12=-105\implies 3x=-117 \\\\\\ x=\cfrac{-117}{3}\implies \boxed{x=-39}[/tex]

Area of perimeter of composite figures puzzle question B.

Answers

Area and perimeter of figure be: 562.08 m² and 123.68 m

What is Area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The figure comprises of a parallelogram and semicircle.

1. For Area

Area of parallelogram = base x height

                                     = 24 x 14

                                     = 336 m²

Area of semicircle = (π x r²)/2

                               = (3.14 * 12 * 12)/2

                              = 226.08 m²

Total Area of the figure = 336+ 226.08 =562.08 m²

2. Perimeter

Perimeter of parallelogram=  2 (a+b)

                                             = 2 (19 +24)

                                            = 86 m

Perimeter of semicircle= π * r

                                      = 3.14 * 12

                                     = 37.68 m

Total Perimeter of the figure= 86 + 37.68 = 123.68 m

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Check whether (2,-3) and (-1, 5) are solutions of the equation
4x+ y =1

Answers

Answer:

So the first one the false the second one it true

Step-by-step explanation:

4(2)+(-3)=1 FALSE

4(-1)+5 = 1 TRUE

if [tex]v=v_{1} +v_{2}[/tex], where [tex]v_{1}[/tex] and [tex]v_{2}[/tex] are not both 0 and [tex]u=-3v[/tex], find the measure of the angle between [tex]u[/tex] and [tex]v[/tex].
Given:
[tex]\frac{u*v}{||u|| ||v||}[/tex]

Answers

If θ is the angle between u and v, then

u • v = ||u|| ||v|| cos(θ)

Since u = -3v, we have

u • v = (-3v) • v = -3 ||v||²

and

||u|| = ||-3v|| = 3 ||v||

If v₁ and v₂ are both not zero, then ||v| ≠ 0.

Then

cos(θ) = (-3 ||v||²) / (3 ||v|| ||v||) = 1

which means θ = π rad = 180°.

A square picture is mounted on a larger rectangular sheet of poster paper leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides. The sheet of poster apper has an area of 42 square inches. If x represents the length of a side of the square picture, then an equation that can be used to determine the value of x is

Answers

An equation that can be used to determine the value of x is x² + 5x - 36 = 0.

To answer the question, we need to know what equations are

What is an equation?

An equation is an expression which shows the relationship between two variables.

Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.

Then,

The width of the rectangular poster is W = x + 2 + 1 = x + 3. The length of the rectangular poster is L = x + 1 + 1 = x + 2

So, the area of the rectangular sheet poster is A = LW

= (x + 2)(x + 3)

Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².

So, (x + 2)(x + 3) = 42

x² + 3x + 2x + 6 = 42

x² + 5x + 6 - 42 = 0

x² + 5x - 36 = 0

So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.

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How many centimeters are equal to 12 meters?

Answers

Hi!1200 centimetres are equal to 12 meters.

Answer:

1200cm

Step-by-step explanation:

1m = 100cm

12m = 1200cm

Suppose angle A and angle B are supplementary.

The measure of angle A is (15x + 65) and the measure of angle B is (50x - 15).

Solve for x (showing your setup and work) and then find the measure of angle A and the measure of angle B

Answers

Answer:

x = 2

Angle A = 95°

Angle B = 85°

Step-by-step explanation:

Concepts

Supplementary angles are angles that sum up to 180° to form a straight angle.

Application

We are asked to find the value of x, Angle A, and Angle B. We are given angles A and B as 15x + 65 and 50x - 15. To do this, we can set up the equation 15x + 65 + 50x - 15 = 180 because we know these angles are supplementary, or adding to 180°. Then, once we get the value of x, we plug in that value for each angle.

Solution

Step 1: Simplify both sides.

[tex](15x+50x) +(65-15)=180[/tex] [tex]65x+50=180[/tex]

Step 2: Subtract 50 from both sides.

[tex]65x+50-50=180-50[/tex] [tex]65x=130[/tex]

Step 3: Divide both sides by 65.

[tex]65x/65 = 130/65[/tex] [tex]x=2[/tex]

Step 4: Plug x into angle A.

[tex]15(2)+65 = 30 + 65 = 95[/tex]

Step 5: Plug x into angle B.

[tex]50(2) - 15 = 100 - 15 = 85[/tex]

You pick a card at random.

2
3
4
5


What is P(prime)?

Write your answer as a fraction or whole number.

Answers

Answer:

[tex]\displaystyle P(\text{Prime})=\frac{3}{4}=0.75[/tex]

Step-by-step explanation:

[tex]\displaystyle P(\text{Prime})=\frac{\text{Number of Primes}}{\text{Total}}=\frac{3}{4}=0.75[/tex]

A 12-liter container has a pressure of 3 atmospheres.

The container is sent underground, with resulting compression into 6 L.

Applying Boyle's Law, what will the new pressure be? 5 pts.

Explain your steps - 20 pts

Answers

The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Boyle's law is given by:

P₁V₁ = P₂V₂

Where P is pressure and V is volume. Hence:

12(3) = 6 * P₂

P₂ = 6 atm

The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L

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Apply Boyles law

P1V1=P2V212(3)=6P_236=6P_2P_2=6atm
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Rina Botwright receives $624 gross salary biweekly. Her income tax rate is 14%. Her group health plan contribution is $4.25 per pay period. She belongs to the company retirement plan, to which she contributes 6% of her earnings. She is also covered under Social Security benefits. Her current contribution is 6.05%If these items are all her deductions, what is her take-home pay per period?Rina gets a $35 raise per pay period. If her health plan is unchanged, how much of the raise will she have to take home?take-home pay per period = $ amount of raise taken home = $ Which is the explicit rule for the geometric sequence? 10,-30,90,-270,an=-1/3n+10an=10(-3)n-1an=-10(1/3)n-1an=-3n PLEASE HELP ASAP!!!1. Domino's and Hopscotch ___ my grandmother's favorite games when she was young. Which verb is correct? a. isb. arec. wasd. were2. Which pronoun can either be singular or plural? a. he b. she c. youd. theirs3. Which of these is nearest in CONNOTATIVE meaning to the word dog? a. canineb. poochc. muttd. mongrel please help me asap help help please please help me please please Find the linear equations giving brainlest Someone help me please. A cube has an edge length of 10 inches. What is its volume, in cubic in? Total points in a board game based on the average number of hours played is predicted using the least-square regression line, 9 = 280.3 + 85.7x, where yrepresents the total points scored and x represents the average number of hours spent playing the game. A player plays the game for an average of 3 hoursand has a point total of 550. What is the residual for the player?O 3.15030-1260-3.15O 12.6 goods purchased from abroad according to "Black Hole Beginnings," the destruction of some stars results in inbursts of light. an intense gravitational pull.a booming nuclear reaction. clouds of gasses. One result of the 1945 Yalta Conference was stalins promise to FDR and churchill of How does Roosevelt's use of the "big stick"metaphor in the paragraph on pages 5-6impact his speech? What is the purpose of conducting recreational programs in socially disorganized neighborhoods?A. for entertainmentB. to strengthen social ties and bondingC. to keep a watch on crimesD. to form a sports team What happened when the 19th Amendment was ratified and women went to the polls for the first time?O a. Women voted as a group and all voted for the same thing.O b. Women did not go to the polls and vote.O c. Women voted for different candidates from different political parties.O d. Women were stopped from voting by the government and men. ASAP!!!!!!!!!!difference between a commercial and natural indicator In at least 150 words, examine the formatting of a resume. What items are of importance for the formatting checklist? What about errors? Explain the areas that should be addressed for proper resume formatting. please answer!!! will give a lot of points and brainliest if i can figure that out What is one different between Franciscos attitude towards living on Neokosmos and his moms attitude Pls answer correctly thank you : ) with steps pls7662247+20728678+33807580=