What is the value of x, if the volume of the cone is 12 pi m^3?
4 m
5 m
6 m
10 m

What Is The Value Of X, If The Volume Of The Cone Is 12 Pi M^3?4 M5 M6 M 10 M

Answers

Answer 1

Answer:

4 m

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

12 pi  = 1/3 pi  (3)^2 x

12 pi = 1/3 pi 9 x

12 pi = 3pi x

Divide each side by 3 pi

12 pi / 3pi = 3pix/ 3pi

4 =x


Related Questions

Please help don’t get it

Answers

Answer:

not sure but I think it goes something like this

1. 10+10+10=30

2. 1+1+10=12

3. 1+1+3=5

4. 32+10=16

Step-by-step explanation:

why 3•2? because there is only one taco so 3 and there are two carrots (each carrot =1, each taco = 3) so 2.

Anthony has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels?

Answers

Answer:

The answer is c and we'll use c to get the actual answers.

A) n + q = 104

B) .05n + .25q = 22 we'll multiply B) by -4

B) -.2n -1q = -88 then we add A)

A) n + q = 104 which equals

.8n = 16

n = 20 nickels

q = 84 quarters

20 nickels = $1

84 quarters = $21

Successful!!!

Step-by-step explanation:

Solve by completing the square:
x2 + 3x – 9 = 0

Answers

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

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A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid

Answers

Answer:

8m

Step-by-step explanation:

Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;

a is the base edge

a² is the base area

h is the slant height

Given Volume of the pyramid V = 384m³

Base area a² = 144m²

h =?

On substituting to get the slant  height;

[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]

The slant height of the pyramid is 8m

Circle O has a circumference of approximately 28.3 cm. What is the approximate
length of the radius?

Answers

Answer:

4.5 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r where r is the radius

28.3 = 2 * (3.14) *r

28.3 = 6.28 r

Divide each side by 6.28

28.3/6.28 = r

4.506369427=r

The approximate length of the radius is 4.5 cm

What is the equation of the following line written in general form

Answers

Answer:

y=-3/2x+-9/2

Step-by-step explanation:

Write the following number in scientific notation:
0.0000487

Answers

Answer:

4.87 × 10-5

Step-by-step explanation:

Hopes this helps.

The answer is 4.87 x 10^-5

PLEASEEEEE ANSWERRRRRRR!!!!!!!!!!!!
What is the area of figure?
A trapezoid with short base eighteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
A. 320 square centimeters
B. 608 square centimeters
C. 448 square centimeters
D. 560 square centimeters

Answers

Answer:

C. 448 square centimeters

Step-by-step explanation:

38+18/2(16)

=448 square centimeters

:3

What is this expression in simplified form  (6√2)(−3√5)??

Answers

-18(the square root of 15)

Answer:

-18√10

Step-by-step explanation:

You use the rule √a·b = √a·√b:

(6√2)(−3√5) = 6·-3√2√5 = -18√(2·5) = -18√10

making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19

Answers

The answer is 12

Ham, swiss, mustard

Ham, swiss, mayonnaise

Ham, provolone, mustard

Ham, provolone, mayonnaise

Turkey, swiss, mustard

Turkey, swiss, mayonnaise

Turkey, provolone, mustard

Turkey, provolone, mayonnaise

Roast beef, swiss, mustard

Roast beef, swiss, mayonnaise

Roast beef, provolone, mustard

Roast beef, provolone, mayonnaise

The city of Paris, France is completely contained within an almost circular road that goes around the edge. If the diameter of the city is about 7 miles, estimate the circumference and area of the city to the nearest mile or square mile

Answers

Answer:

The answer should be 22

Step-by-step explanation:

Using the circumference formula 2πr you can take half of the diameter to get the radius which is 3.5, then multiply 2x3.14 for π and take the product and multiply that by 3.5 to get 21.98, which rounds up

Evaluate without using a calculator by using ratios in a reference triangle.

cos 5pi/3

Answers

Answer:

The answer is 1 /2

Step-by-step explanation:

Cos, tan and sin are all positive in the first quadrant, but depends on the direction of the angle. Reference angle here we are looking for is the one in relation to the quadrant cos 5pi/3.

Any multiples of cos outside 2nd quadrant will give a positive value.

cos 5pi/3  is located in the 4th quadrant, while, cos pi/3 is located in the 1st quadrant, where the cos ratio has a positive value.

In terms of cosine, anytime the angle falls on the first or fourth quadrant it will always produce a positive graph.

For cos 5pi/3, cos pi/3 and cos 7pi/3 will give the same answer as "1/2" or "0.5" because, cos pi/3 will give 60 degrees which fall in the first quadrant

If "R" is a real number, for all R multiplied by pi/3,  the new value gives an angle in the first or fourth quadrant, the angle will be 0.5

The exact value of  cos 5 ( π /3 )  is  1 /2 .



This graph displays a linear function. Interpret the constant rate of change of the relationship.

Rate of change =

Answers

Answer: -3/-1  or 3/1 is the rate of change

Step-by-step explanation:

(0,2)

(3,3)    0-3==-3  

          2-3= -1  

-3/-1

Answer:

The rate of change ( or slope) is 3.

Step-by-step explanation:

The formula for slope is y2-x2 over y1-x1. Easier terms: subtract two points from eachother, y being the numerator and x being denominator.  Two points on this graph are (2,0) and (3,3). When you put y on top, you get 0/2-3/3. The answer is -3/-1, which is equal to 3

A much easier way when you're graph looks like this, is to count the units up/down and right/left, putting the up/down number on top. Since it goes 3 up and 1 right, you get 3/1, or 3.

                                       

If you compare the red triangle to the blue triangle are the figures similar, congruent, neither, or it is impossible to tell?

Answers

Answer:

Congruent

Step-by-step explanation:

Congruent figures are all figures that have the same number of sides, with the same length, and the angles between the sides have the same values.

Answer:

Congruent

Step-by-step explanation:

How many times greater is the value of the 4 in 42,672 than the value of the 4 in
37,426?

Answers

2x bigger in value b/c in 42,672 the 4 is 40k and in 37,426 it’s 400

Answer:

Step-by-step explanation:

Value of 4 in 42,672   = 40,000

Value of 4 in 37,426  = 400

40,000 ÷ 400 =100

Value of 4 in 42,672 is 100 times greater than value of 4 in 37,426

What is the probability of two dice landing on 4 If you already know the first die has
landed on 4

Answers

Answer:

1/6

Step-by-step explanation:

no matter what, the die always has the same probability of landing on one specific number.

Really hope this helps!!

stay safe :0)

The required probability of both dice landing on 4 is 1/6.

What is probability?

The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

If we already know that the first die has landed on 4, then the probability of the second die landing on 4 is the same as the probability of a single die landing on 4, which is 1/6.

This is because the two dice are independent of each other, and the outcome of the first die does not affect the outcome of the second die.

Therefore, the probability of two dice landing on 4 given that the first die has landed on 4 is 1/6 or approximately 0.1667.

more about probability here:

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HOW COULD YOU USE A GRAPH TO SHOW WHETHER THE DATA ARE IN A PROPORTIONAL RELATIONSHIP

Answers

Answer:

If the graphs are parallel they are porportional

Step-by-step explanation:

Answer:

The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.

Step-by-step explanation:

Please mark me most brainly... :)

{1, 5, 10, 15} {1, 3, 5, 7} Which of the following shows the union of the sets?

Answers

Answer:

{1, 5}

Step-by-step explanation:

the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}

Hope this helps have a great day! <3

also, pls mark brainliest!!

WILL MARK BRAINLIEST PLS HELP!!! A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50ft . What is the volume of the sphere? A 50/3 B 100/3 C 75 D 100

Answers

Answer:

i think its a

Step-by-step explanation:

What is the domain of the relation?


A)

{-4,- 2 1, 4}

B)

{-2, 1, 4}

C)

{-2, 1, 4, 4}

D)

(-4,-2), (-2,1), (1,4), (4,4)

Answers

Answer:

A

Step-by-step explanation:

The domain of a relation is all the x values in it. Therefore, since the only x values in this relation are -4, -2, 1, and 4 that is the answer.

hope this helps :)

The domain given in option A is correct.

The domain of a relation is the set of the first coordinates from the ordered pairs.

How to find the domain of the relation ?

The domain of a relation is all the x values in it.

since the only x values in this relation are -4, -2, 1, and 4 that is the answer.

Thus, the domain is {-4,-2,1,4}.

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The area of Miguel’s rectangular garden is 450 square feet. The garden is 9 feet wide.
How many feet of fencing will Miguel need to buy to enclose the garden on all four sides?

Answers

Answer: 118 feet

Step-by-step explanation:

For a rectangular shape: Area = W × L

450 = 9 × L

450 ÷ 9

L = 50

Perimeter of a rectangular shape = 2L + 2W

Perimeter = (2 × 50) + (2 × 9)

= 100 + 18 = 118 feet

for a special 16 sided die, what is the theoretical probability for rolling a number less than 9?

Answers

Answer:

8/16

Step-by-step explanation:

there are 16 sides on the dice and there is only 8 number that are less than 9 so that makes it 8/16:)

Answer: There is a 8/16 chance of getting a number under 9.

Explanation: There is a total of 16 sides on the die. If you look at the die numbers 1, 2, 3, 4, 5, 6, 7, and, 8 are all numbers under 9. Which explains how there are 8 sides. Meaning 8 numbers are 8 sides and 16 total numbers are 16 total sides. Therefore the answer is 8/16.

Solve the following system of equations using any method you want.
y + 2x = 2
2x - 5y = 14 please help

Answers

2x+y=2
2x-5y=14
Subtract the two equation
6y= -12
Y= - 2
Put y= -2 in any equation
2x-2=2
2x=4
X=2

Answer:

y = - 2, x = 2

Step-by-step explanation:

Remove x and solve for y

2x - 2x - 5y - y = 12

-6y = 12

y = - 2

Substitute y back into the equation

-2 + 2x = 2

2x = 4

x = 2

How to do the problem and what the answer is this thing is due today(30 points!)

Answers

Answer:

40°

Step-by-step explanation:

complementary angels makes the sum of two angles = 90°

so

<ABC + < CBD = 90°

if <ABC = 50°

then 90° - 50° = 40°

for which value of x is the row in the table of values incorrect? the function is the quadratic function y=-1/2x^2


A.)x = 0

B.)x = 3

C.) x = 2

D.)x = 5

Answers

Answer:

D. x = 5

Step-by-step explanation:

At x = 5

y = -½(5)²

y = -½ × 25 = -25/2 = -12½

Answer: x=5

Step-by-step explanation:

Two cars are doing a race around a 20-km track. They start from the same place at the same time. The speed of first car is 60 km/h, speed of second car is 80 km/h. How long will it take second car to lap the first car?

Answers

Answer:

20 km less than the first car

Step-by-step explanation:

5. 105 is how many times as large as 1 · 10?

Answers

Umm I’m pretty sure it is 9.5

Evaluate 3a + b to the second power if a=2 and b=3
PS : can you help me with 1, 2 and 3 ?!

Answers

Answer:

1. 3

2. 3

3. 15

Step-by-step explanation:

help plz will mark brainliest :)​

Answers

Answer:

c

Step-by-step explanation:

subtract b from both sides

divide by x

The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.

Answers

Answer:

[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

[tex]X \sim Binom(n=2, p=0.01)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

And we can find the probability:

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

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