a cone with base circumference 6 pi and
a height equal to half the radius

Answers

Answer 1
The height is 1.5
The volume is42.39
Answer 2

A cone with a base circumference of 6 pi and a height equal to half the radius. The volume of the cone is 42.39.

What is the volume of a cone?

The volume of the cone is the product of one-third of the height, pie, and square of the radius.

The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]

A cone with a base circumference of 6 pi and a height equal to half the radius.

The circumference of the circular base = 2πr

                                                        6π  =  2πr

                                                          r = 3

The radius of the circular base of a cone is 3 unit.

A height equal to half the radius. Thus, the height is 1.5

The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]

                                         = 1/3 (3.14) (9)(1.5)

                                         =  42.39

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Related Questions

If f(x) = x2 – 1, and
g(x) = x + 2, then
f(g(x)) = [ ? ]x2+[ ]x+]

Answers

Answer:

f(g(x)) = x^2+4x+3

Step-by-step explanation:

f(x) = x^2 – 1

g(x) = x + 2

f(g(x))=g(x)^2-1=(x+2)^2-1=x^2+4x+4-1=x^2+4x+3

What is the length of leg s of the triangle below?
45
3
1072
90°
45
$

Answers

Can you please repost with the image?

The length of the leg is 9.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From the triangle,

S = length of the leg.

Now,

Applying the Pythagorean theorem.

√18² = 3² + s²

18 = 9 + s²

s² = 18 - 9

s² = 9

s = 9

Thus,

The length of the leg is 9.

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Mario can eat 21 hot dogs in 6 minutes. At the same place, how many minutes would it take him to eat 35 hot dogs? ​

Answers

Answer:

10 minutes

Step-by-step explanation:

Mario can eat e21 hot dog in 6 minutes

Let 35 hot dog  eats in x minutes :

[tex]\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min[/tex]

Therefore, mario would eat 35 dogs in 10 min.

Solve the inequality.
pls pls help

Answers

Answer:

first u will find de L.C.M which is 6

so u will multiply de whole equation by 6 hence

6(x/3)- 6(x-1/ 2) greater or equal to 6(1)

u will then cancel getting de equation to be

2(x)-3(x-1) greater or equal to 6 (1)

now, u will expand de equation

2x-3x+3 greater or equal to 6

now u group like terms

2x-3x greater or equal to 6-3

hint: greater or equal to must be done with it's symbol

so now for de answer, u will get -x greater or equal to 3

wen u get this, u change de operation to be opposite of de current sign

now de final answer becomes

-x less or equal to 3

On George's block, the ratio of cars to houses is 8 to 5. There are 32 cars, how many houses are there?

Answers

Answer:

Step-by-step explanation:

20 houses

Answer:

20

Step-by-step explanation:

You would set it up as 8:5=32:x. Since you are multiplying the number of cars by 4, you should do the same with houses. This gives 32:20, meaning there are 20 houses on the block.

**You may want to revise multiplying and dividing with ratios. I'm always happy to help!

7X^2+20x=24
X=?
Please answer to 2 d.p

Answers

Answer:

0.76

or

-0.76

hope this helps

help me to do this please ​

Answers

Answer:

a)  (10×13) + 55 b) 185 Nu c)-75 or -205 (unsure of instruction)

Step-by-step explanation:

a) He spends 10 Nu a day for 13 days, meaning he has spent 10×13 Nu. He originally had this amount, plus the 55 he ends up with. This means he began with (10×13) + 55.

b) This can then be solved using BODMAS (or PEMDAS, whatever you call the order of operations).

We begin with the multiplication, which turns the expression to 130+55. We then move to addition, giving a final result of 185.

c) For this one, I'm not sure if it is if he did that from the beginning or from now, so I've done both.

If it's from the beginning, you would use 185-(20×13) to solve this. This gives 185-260, which solves to -75.

If it's from the point of 55 Nu, you would use 55-(20×13), which gives 55-260. This solves to -205.

**You may wish to revise writing integer expressions. I'm always happy to help!

please help i dont understand this

Answers

Answer:

yeah me too

Step-by-step explanation:

They are selling lollipops for $0.50 and candy bars for $1.50

Lydia buys 6 lollipops and some candy bars.

If she spends $15.00 in total, how many candy bars, b, did Lydia buy?

Answers

Answer: $12.00

If you times 6 by 50 then you get $3.00 that is the answer for the lollipop you have to minus $15.00 by $3.00 which is $12.00

What is the square unit of this figure?

Answers

Answer:

58

Step-by-step explanation:

Area = Area of entire recangle - area of cut out

a = (10 * 7) - (6 * 2)

a = 70 - 12

a = 58

Evaluate e - 1/2 f when c = 15 and f =2

Answers

Answer: 14

Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:

(15) - 1/2(2)

1/2 * 2 = 1

15 - 1 = 14

(3)/(4)x-3=(2)/(5) write this without fractions

Answers

3x -17

4   -5 =0

3(x-4)=2

4          5

how to get the interval?

Answers

Step-by-step explanation:

Decide on the number of classes.

Determine the range, i.e., the difference between the highest and lowest observations in the data.

Divide range by the number of classes to estimate approximate size of the interval

hope it helps.

stay safe healthy and happy...

Find the surface area of a cylinder that has the following information:
Height = 30 cm
Diameter = 10 cm

Answers

Answer:

[tex]A=1099.56cm^{2}[/tex]

Step-by-step explanation:

Formula to ind surface area of cylinder:

[tex]A=2\pi \frac{d}{2} h+2\pi (\frac{d}{2} )^{2}[/tex]

[tex]A=2\pi \frac{10}{2} (30)+2\pi (\frac{10}{2} )^{2}[/tex]

[tex]A=1099.557443cm^{2}[/tex]

Therefore, area will be:

[tex]A=1099.56cm^{2}[/tex]

hope this helps :)

The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 22 meters and its length is 2 meters more than twice its width. 0 ​

Answers

Answer:

Length = 6.5 meters

Width = 4.5 meters

Step-by-step explanation:

Given,

Perimeter of a rectangle is twice the sum of it's length and width.

Length is 2 meters more than twice its width, let the length be x meters so the width becomes (x-2) meters

perimeter of the rectangle,

2{x+(x-2)} meters which is 22 meters (given)

so,

2{x+(x-2)}=22

or, 2(x+x-2)=22

or, 2(2x-2)=22

or, 2x-2=11

or, 2x=13

or, x=6.5

so the length is 6.5 meters and the width is 6.5-2 = 4.5 meters.

Answered by GAUTHMATH

Expand the following: a)2(x - 1) b) 3(2x + 3) c) 7(x + 5 d) 5(2x - y) o Tyne here to search

Answers

Step-by-step explanation:

a )2x-2

b)6x+9

c)7x+35d

for these type of questions you basically just times the out side number of the brackets by the inside one.

hope this helps u understand:)

please help me i have 5 minutes left: )! ill give Brainliest thanks<3

Answers

A, D, and E all work i think
I believe it’s A,D and E

Using the box method solve (x-4)(5x+3

Answers

Answer:

= X(5x+3)-4(5x+3)

= 5x²+ 3x- 20x-12

= 5x²-17x-12

Answer:

5x(squared)-17x-20

Step-by-step explanation:

due today pls help me

Answers

Answer:

BC = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

Hope this helps u !!

Can yall please help me with this, pls try to explain in it steps, ty.

Answers

Answer:

D

Step-by-step explanation:

First find the slope of the line. The two points I will use are (0, 3) and (4, 2).

(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)

Answer: D

Step-by-step explanation:

In order to have the same slope, in y=mx+b form, the two "m" must be equal.

Step 1 is to find the slope of the graph through two points. I choose the points (0,3) and (4,2)

slope is y2-y1/x2-x1 so 3-2/0-4 = -1/4

Now find which equation has the m of -1/4 and that's your answer

Hint its D.

which ratio is equivalent to the ratio 2:52

Answers

Answer:

1:26

Step-by-step explanation:

You can divide both sides by 2.

Round 9.107 to the nearest tenth.

Answers

Answer:

9.1

Step-by-step explanation:

Answer:9.1

Step-by-step explanation: simply remove the 2 digits after 1 as the tenth place is always one digit after the point

Is -451 in the sequence below?
15,7,-1,-9,,-17..

Answers

Answer:

No, the closest to -451 in the sequence is -429

Step-by-step explanation:

Answer:

nope

Step-by-step explanation:

Do the side lengths 15,20 and 25 form a right triangle?


PLEASEEEE HELPPPP!!! asap

Answers

Answer: Yes, those sides form a right triangle

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

Work Shown:

a^2+b^2 = c^2

15^2+20^2 = 25^2

225+400 = 625

625 = 625

Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.

Side note: c is always the longest side.

how do you solve 8/14 = 2/x

Answers

Answer:

x = 3 1/2

Step-by-step explanation:

8/14 = 2/x

Using cross products

8*x = 14*2

8x = 28

Divide by 8

8x/8 = 28/8

x = 7/2

x = 3 1/2

Work out m and c for the line:

y=x-8

never mind i got it

Answers

Answer:

m = 1     c = -8

Step-by-step explanation:

Find the area of the shaded region in the figure above using two different ways. Do you get the same
answer both ways? Investigate what's going on here.

Answers

Answer:

Below

Step-by-step explanation:

First way:

Find the area of the big triangle and subtract the area of the rectangle.

Area of shaded part = 1/2 * 25 * 34 -  10*24 =  185 m^2

Second way:

Add the area of the 3 shaded triangles:

= 1/2 * 15 * 24 + 1/2 * 5 * 10 + 1/2 * 5 * 10

= 180 + 25 + 25 = 230 m^2

The areas are different. The reason must be that given lengths are not possible for this diagram.

Check The length of the hypotenuse of the large triangle by 2 different methods:

The hypotenuse = √(25^2 + 17^2)

= 30.23.

Now let's work out the hypotenuse of the shaded triangles:

Top one = √(15^2 ^ 12^2) = 19.21

Bottom one = √((5^2 + 10^2) = 11.18

Adding these we get 30.39  which is different than previously calculated but it should be the same.

So what we have here is impossible geometry. This accounts for the different areas.

Can someone help me? It's urgent and thank you!

Answers

Answer:

-6 and -1

Step-by-step explanation:

The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]

Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]

It's a quadratic equation

Thus, let us calculate the discriminant Δ

Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]

the discriminant is greater than 0, so the equation has two solutions

[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex]  or  [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]

the excluded values are -6 and -1

Please help!!!!!! I’ll give the brainliest !!!!!!!
For f(x) = 3x + 1 and g(x) = x ^ 2 - 6 find (8/f)(x)

Answers

Answer:

9x² + 6x - 5

Step-by-step explanation:

If you mean g(f(x))

g(x) = x² - 6

f(x) = 3x + 1

Then, g(f(x)) = g(3x + 1)

but g(x) = x² - 6

g(3x + 1) = (3x + 1)² - 6 = 9x² + 6x + 1 - 6

= 9x² + 6x - 5

Which phrase describes the variable expression 11 • X?
O A. 11 decreased by x
OB. 11 increased by x
C. The produqt of 11 and x
odust
O D. The quotient of 11 and x
SUBA

Answers

Answer:

B or C

Step-by-step explanation:

if its refering to the answer of 11 × X then the answer is C, but if its not the answer might be B.

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