a cylinder has radius 2cm. the volume of the cylinder is 100cmcubed. work out the height of the cylinder, rounded to 2 decimal places.

Answer:

10

Step-by-step explanation:

Pythagorean theorem

c² = a² + b²

26² = a² + 24²

a² = 26² - 24² = 100

a = √(100) = 10

The length of unknown leg will be a = 10 units

The steps are as follow:

(hypotenuse)^2 = (Side)^2 + (Side)^2

(26)^2 = (24)^2 + (a)^2

676 = 576 + (a)^2

(a)^2 = 676 - 576

(a)^2 = 100

a = 10 units

So the length of unknown leg will be a = 10 units

Learn more about pythagorean theorem here:

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Answer:

24 cm² and 12 cm²

Step-by-step explanation:

Sum the parts of the ratio, 2 + 1 = 3 parts

Divide the area by 3 to find the value of one part of the ratio.

36 cm² ÷ 3 = 12 cm² ← value of 1 part of the ratio , thus

2 parts = 2 × 12 = 24 cm²

area of A = 12 cm² and area of B = 24 cm²

Answer:

3:1

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

do long division

for example 42/8 = 5 2/8 =5 1/4 =5.25

Answer:

33.3%

Step-by-step explanation:

Take the original price and subtract the new price

36-24=12

Divide this by the original price

12/36 = 1/3 = .33333repeating

Multiply by 100 % to get to percent form

.3333 repeating * 100%

33.3333%

Round to the nearest tenth

33.3%

Answer:

All A. B. C. D.

Step-by-step explanation:

A B C D are all the correct answers

¯\_(ツ)_/¯

Answer:

Ss={}

Step-by-step explanation:

6x^2+1<or=0

6x^2<or=-1

x^2<or=-1/6

x<or=root-1/6

There is no number that satisfiey this equation

SS={}

Answer:

no solution

Step-by-step explanation:

Answer:

200g of sugar, 600g of flour, 400g of butter

Step-by-step explanation:

50g sugar = 15 biscuits

3 x 50g = flour --) 150g = flour

2 x 50g = butter --) 100g = butter

60/15 = 4; 4 times as much

4 x 50g = 200g of sugar

4 x 150g = 600g of flour

4 x 100g = 400g of butter

Answer:

its definetely A.

Step-by-step explanation:

i got it right on my assignment

Option B is correct that is a closed circle is at negative 15. Everything to the right of the circle is shaded.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

The solution to the inequality –0.5x ≤ 7.5 a closed circle is at negative 15 and everything to the right of the circle is shaded. The graph of the inequality is attached with the answer.

To know more about graphs follow

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Answer:

the smallest r is the 4r and the biggest r is the r^2

VERTEX (-2,-64)

Step-by-step explanation:

Answer:

smaller r = -10

larger r = 6

The ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]

Step-by-step explanation:

We have the function [tex]f(r)=r^2+4x-60[/tex]

In order to factor this quadratic equation, we need to look for two numbers that will

Add together to get 4

Multiply together to get -60

Lets look for the numbers that multiply to give us -60.

-1 and 60

1 and -60

2 and -30

-2 and 30

3 and -20

-3 and 20

4 and -15

-4 and 15

5 and -12

-5 and 12

6 and -10

-6 and 10

Now, we just need to determine which of these numbers will add together to get us 4.

Those two numbers would be -6 and 10.

This means that our factored form of this equation will be

[tex]f(r)=(r-6)(r+10)[/tex]

From this, we can find our roots, which are the solutions to the equation when it is equal to 0.

[tex](r-6)(r+10)=0\\\\r=-10, r=6[/tex]

These are our r values.

The vertex of a parabola will always be directly between the two roots.

The number that is between -10 and 6 is [tex]r=-2[/tex]

To find the y-value of the coordinate pair, we just need to plug -2 into our function.

[tex]f(-2)=(-2)^2+4(-2)-60\\\\f(-2)=4-8-60\\\\f(-2)=-64[/tex]

This means that the ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]

Answer:

tan A = 28/45

Step-by-step explanation:

                                                                        opposite side

the tangent function is defined as tan A = ------------------------

                                                                        adjacent side

Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45.  Thus, the tangent of angle A is

tan A = 28/45

Answer:

D.

Step-by-step explanation:

You cannot plan your thoughts if you are just thinking out loud.

Answer:

The answer is B

Answer:the distance between the x coordinates of R and T is 3.

The distance between the y coordinates of R and T is 6

R’ is 1 unit left, 2 units up from T, so the coordinates of R’ are (2,0)

Answer:

The answer above is correct!

First Box: 3

Second Box: 6

Third Box: 1 unit left, 2 units up

Fourth Box: (2,0)

Step-by-step explanation:

I attached a screenshot below for proof ;)

Hope this helps :D

Answer:  [tex]\bold {1)\ \cos\ \theta}=\dfrac{\sqrt2}{2}\qquad 2)\ \tan \theta =\dfrac{1}{3}\qquad 3)\ \cos\ \theta=\dfrac{3\sqrt{13}}{13}\qquad 4)\ \cos\ \theta = \dfrac{2\sqrt5}{5}}[/tex]

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c², where "c" is the hypotenuse

[tex]1)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt2}\quad =\large\boxed{\dfrac{\sqrt2}{2}}[/tex]

Note: 2² + 2² = hypotenuse²  →  hypotenuse = 2√2

[tex]2)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{2}{2\sqrt2}\quad =\dfrac{5}{15}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]

Note: hypotenuse not needed for tan θ

[tex]3)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3}{\sqrt{13}}\quad =\large\boxed{\dfrac{3\sqrt{13}}{13}}[/tex]

Note: 2² + 3² = hypotenuse²  →  hypotenuse = √13

[tex]4)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{2\sqrt5}\quad =\large\boxed{\dfrac{2\sqrt5}{5}}[/tex]

Note: hypotenuse given in problem

Answer:

a > -21 1/3

Step-by-step explanation:

3/4a > -16

Multiply each side by 4/3

4/3 * 3/4a > -16 * 4/3

a > -64/3

a > -21 1/3

Answer:

1

Step-by-step explanation:

Answer:

1,1.5,2.5

Step-by-step explanation:

f(x) = 3 - .5x

The domain is 1,3,4 so theses are the only inputs

f(1) = 3 - .5 = 2.5

f(3) = 3 - .5(3) = 3- 1.5 = 1.5

f(4) = 3 - .5(4) = 3-2 =1

The only outputs are 1,1.5,2.5

Answer:

Lets do this step by step

Step-by-step explanation:

I hope this helps

Answer:

-14

Step-by-step explanation:

To solve for x, you would first need to add 10 to both sides. Then you would get -3x-10+10=32+10. Then we simplify that to get, -3x=42. Then, you would divide both sides by -3, to get x=-14

Answer: Go and do something :)

Step-by-step explanation:

Get off your phone and get the motivation to fo and find something to do for now :)

Answer.if breadth is 1 then length is 38 cm

v= l×b×h

342=l×1×9

342=9l

l=342/9

l=38

____________________________

Breadth=1 cm

Height=9cm

Volume=342cm^3

Length=?

Now,

Volume=l*b*h

or,342=l*1*9

or,342=9l

or,l=342/9

length=38 cm

So the length is 38 cm

Hope it helps

Good luck on your assignment.

_______________________________

2(x+1)+3x=37

simplifythe left side:

2x +2 +3x = 37

Combine like terms:

5x +2 = 37

Subtract 2 from both sides:

5x = 35

Divide both sides by 5:

x = 7

Answer:

x=7

Step-by-step explanation:

2(x+1)+3x=37

Distribute

2x+2 +3x = 37

Combine like terms

5x+2 = 37

Subtract 2 from each side

5x+2-2=37-2

5x = 35

Divide by 5

5x/5 = 35/5

x=7

Answer:

jus make a new acc

Step-by-step explanation:

Answer:I recommend looking it up on a different website or wording it differently.

hope this helps.

Step-by-step explanation:

Answer:

1.49216*10^8 km

Step-by-step explanation:

The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:

3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km

To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:

1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km

Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km

Answer:

S'(3,-2)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.

5x-1=x+3

5x=x+4

4x=4

x=1

Hope this helps!

Answer:

226.19

Step-by-step explanation:

V=π•r^2•h

V=π•3^2•8

v=72π

V=226.19

Answer:

add

Step-by-step explanation:

Answer: x =104

Step-by-step explanation:

If we draw the black line shown in the figure, two isosceles triangles are formed, and the base angles of the isosceles triangles are the same. The red angles are the same and the green ones too. The 104 degree angle is the sum of the red angle and the green angle, and x is also the sum of the red angle and the green angle, therefore x = 104.

Answer:

s=5

Step-by-step explanation:

72=27+9s

Subtract 27 from both sides.

72-27=9s+27-27

45=9s

Divide 9 from both sides.

5=s

Answer:

So if the company fills in 1/10 of a tank in 1/5 hour. We should multiply by 10

so that means that the tank will be 100% full because 10/10 = 100%

That also means we need to multiply it by 1/5. 1/5*10 = 10/5.

Therefore we get 2 hours.

Thanks for the question. I am working my way up to brainliest and and Master Answerer

Step-by-step explanation:

Answer:

A. A bar magnet’s magnetic field is larger than Earth’s.

Step-by-step explanation:

The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface.