the cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?

Answer:

upper:65 lower:44

Step-by-step explanation:

Answer:-1

Step-by-step explanation:

Answer:

x = 10.6

y = 10.6

Step-by-step explanation:

To answer this question you will need to use trigonometry. If you don't already have an understanding of trigonometry, this will be very hard to explain. please let me know in the comments if you would like me to give it a go.

I hope this was helpful :-)

Answer:

1. Arc angle

2. Angle at circumference

3. Base angle of an isosceles triangle

4. Sum interior of angles in a triangle

5. Sum interior of angles in a triangle

6. The sum of angles on a straight line

7. Sum interior of angles in a triangle

8. Sum interior of angles in a triangle

9. Angle from a tangent to the radius of a circle

10. Alternate angles of line crossing two parallel lines

Step-by-step explanation:

Here, we note that, the angles where derived as follows;

1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°

2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference

∴ The angle at the circumference, angle 2 = 180°/2 = 90°

3.  Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°

4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)

∴ 25° + 90° + ∡C = 180°

Hence ∡C = 180° - (90° + 25°) = 65°

5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius

Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives

∡8 + 90° + 30° = 180°, hence;

∡8 = 180° - (90° + 30°) = 60°

∡8 = opposite ∡8 = 60°

Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)

Therefore ∡5  = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°

6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)

Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°

7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)

∡E + ∡2 = 180° (The sum of angles on a straight line)

∴ ∡E = 180° - ∡2 = 180° - 90° = 90°

Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°

∴ ∡7 = 35°

8. ∡8 = 60° as found above

9. ∡9 = 90° (Angle from a tangent to the radius of a circle)

10. ∡10 = ∡8 = 60° (Alternate angles).

Answer:

my answer was B.

Step-by-step explanation:

I chose C and i got it wrong

Answer:

If a bag contains 4 red marbles, 3 blue marbles, and 7 green marbles and a marble is randomly selected from the bag, what is the probability that it is blue? P=3/(3+4+7)=3/14 because each of 14 marbles is equally likely to be drawn.

Step-by-step explanation:

Answer:

the numbers in Set A would round to 0

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

In order to find the area you have to complete a formula for triangles going Area =  1/2 bh ( bh means base time the height height is the 13 and the base is the 10 in the photo.)

Answer:6/11

Step-by-step explanation:

The probability of spinning a 1 and flipping a heads is given by the equation A = 1/10

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of spinning a 1 and flipping a heads be A

Now , the equation will be

The total number of values in the spinner = { 1 , 2 , 3 , 4 , 5 }

So , the number of possible outcomes = 5

The probability of spinning a 1 = 1 / number of possible outcomes

Substituting the values in the equation , we get

The probability of spinning a 1 = 1/5

The number of outcomes for flipping a coin = { heads , tails }

Now , the probability of flipping a head = 1/2

So , the probability of spinning a 1 and flipping a heads A = probability of spinning a 1 x probability of flipping a head

Substituting the values in the equation , we get

The probability of spinning a 1 and flipping a heads A = ( 1/5 ) ( 1/2 )

On simplifying the equation , we get

The probability of spinning a 1 and flipping a heads A = 1/10

The probability of spinning a 1 and flipping a heads A = 0.1

Hence , the probability is 1/10

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Answer:

5.95

Step-by-step explanation:

[tex]2\frac{7}{10}=\frac{27}{10}=2.7\\[/tex]

3.25 + 2 7/10 = 3.25 + 2.70 = 5.95

Answer: Yes, your answer is correct.

Answer:

See explanation

Step-by-step explanation:

[tex] In\: \triangle ABC \:\&\: \triangle EDC\\

\angle ABC \cong \angle EDC... (Right \: \angle s) \\

\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]

Step-by-step explanation:

the answer should be 18

Answer:

Area = Big one - small one = 4 x (3 + 2 + 1) - 3 x 2 = 24 - 6 = 18 cm2.

=> Option B is correct.

Hope this helps!

:)

Answer:

If the arrow is pointing to the -2, that’s the constant.

If the arrow is pointing at x, that’s the variable.

If the arrow is pointing at 3, that’s the coefficient.

If arrow points to → 3x → it is a constant value multiplied by a variable.

If arrow points at → 2 → it is a constant number

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression → 3x - 2.

Parts of the expression are called its terms. Term of a expression can be a constant number, a variable or a constant value multiplied by a variable. The expression given is → 3x - 2.

If arrow points to → 3x → it is a constant value multiplied by a variable.

If arrow points at → 2 → it is called a constant number

Therefore, we can write -

If arrow points to → 3x → it is a constant value multiplied by a variable.

If arrow points at → 2 → it is a constant number

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Answer: The lower quartile is 10, the upper quartile is 21, and the median is 17.

Step-by-step explanation:

Answer:

It sould be 5,10,26

Step-by-step explanation:

Answer:

4 x minus 3 y = 16. 8 x minus 6 y = 34

Step-by-step explanation:

2 x + 8 y = 15. 4 x + 16 y = 30.

Multiply the first equation by 2

4x +16y = 30

They are identical so they are the same line so there are infinite solutions

2 x - y = 18. 4 x + 2 y = 38.

Multiply the first equation by 2

4x -2y = 36

Add to the first equation

4x -2y = 36

4 x + 2 y = 38.

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

8x =74

This has a solution

4 x + 7 y = 17. 8 x - 14 y = 36.

Multiply the first equation by 2

8x +14y = 34  add to the second equation

8x +14y = 34

8 x - 14 y = 36.

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

16x = 70

This has a solution

4 x - 3 y = 16. 8 x - 6 y = 34.

Multiply the first equation by -2

-8x + 6y = -32

Add to the second

-8x + 6y = -32

8x - 6y = 34

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

  0 = 2

This is never true so there is no solution

Answer:

Last one:

4x minus 3y = 16

8x minus 6y = 34

Step-by-step explanation:

4x - 3y = 16

y =(4x - 16)/3

y = (4/3)x - 16/3

8x - 6y = 34

y =(8x - 34)/6

y = (4/3)x - 17/3

These are two distinct parallel lines, hence will never meet

Therefore no solutions

Answer:

A ( 1.5, 6 ), B ( 15, 33 ), Slope ⇒ 2

Step-by-step explanation:

We are given the line y - 2x = 3;

For the value 6, let us substitute this value in terms of y such to compute the value of x on the line y - 2x = 3;

6 - 2 * x = 3 ⇒ Subtract 6 on either side,

-2 * x = - 3 ⇒ Divide - 2 on either side of equation

x = 1 and 1 / 2 for y = 6,

Solution; A ( 1.5, 6 )

Now for the value 15, let us substitute this value in terms of x to compute the value of y on the line y = 2x - 3;

y - 2 * ( 15 ) = 3 ⇒ Multiply 15 by 2,

y - 30 = 3 ⇒ Add remaining terms,

y = 33 for x = 15,

Solution; B ( 15, 33 )

To determine the slope of this we could take the formula ( y2 - y1 )/ ( x2 - x1 ) for the two points we have derived or, for simplicity, take a look at the format of the equation;

y - 2x = 3 ⇒ Convert to point slope form, in format y = ax + b, where a ⇒ slope, and b ⇒ y - intercept

y = 2x + 3, ⇒ Solution; Slope ⇒ 2

Answer: Carbohydrates have many roles, but the main one is to provide energy. But, they also build macromolecules and store energy

Hope this helps :)

Answer:

Provide the body with energy

Hope this helps!!!

Answer:

i dont know need points

Step-by-step explanation:

Answer:

B. 1/2

It will always be a 50/50 probability cause there are only 2 sides

Answer: Bristol's heart rate reaches a maximum of 120

bpm

Step-by-step explanation:

Answer:

Bristol's heart rate reaches a maximum of 120 bpm

At the end of yoga class, Bristol's heart rate returned to her resting heart rate

The graph that models Bristol's heart rate is a parabola

Step-by-step explanation:

Answer:

the answer is (-1, -9)

that is the axis of symmetry

This is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.

Let the point be (x,y)

Case 1: Symmetry with respect to the x-axis

The point becomes (x, -y) as the point flips itself up or down which changes its y coordinate to the negative of whatever it was previously. And no motion is done horizontally so no change in x coordinate.

Case 2: Symmetry with respect to y-axis

The point becomes (-x, y) as the point flips itself left or right which changes its x coordinate to negative of whatever it was previously. And no motion is done vertically so no change in y coordinate.

Case 3: Symmetry with respect to origin

Origin is point at (0,0)

Symmetry with this is a bit ill defined. We use a slant line as if its a diagonal of a square.

The point is reflected to its diagonally opposite quadrant to whatever coordinate it belongs to.

Since diagonally opposite reflection causes both x and y axis to become negative of what it was before, thus,

The point becomes (-x,-y)

The axis of symmetry is where the left side is the mirror image of the right side.

Since this is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.

It will be the x coordinate of the vertex

x = 1

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Let's call one triangle ABC, and M the midpoint of AB.

Let's call the other triangle DEF, and midpoint N of DE.

We have a congruent side, AB=DE, congruent medians CM=FN, and congruent angles, ∠AMC=∠DNF

AB ≅ DE  Given

AM ≅ BM and DN ≅ EN    Def median/midpoint

AM+BM=AB  and DN+EN=DE     Segment addition theorem

2AM=2BM=AB and 2DN=2EN=DE   Substitution (eg BM for AM)

AM ≅ BM ≅ DN ≅ EN        Transitivity, algebra

CM ≅ FN   Given

∠AMC ≅ ∠DNF   Given

ΔAMC ≅ ΔDNF     Side Angle Side

AC ≅  DF   CPCTC

∠BMC ≅ ∠ENF   Supplements of congruent angles are congruent

ΔBMC ≅ ΔENF     Side Angle Side

BC ≅  EF      CPCTC

Δ ABC ≅ Δ DEF   Side Side Side

Answer:

.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Verifying that the left side equals the right side

left side = sin2x = 2sinxcosx

Consider the right side

2cotxsin²x

= 2 × [tex]\frac{cosx}{sinx}[/tex] × sin²x ← cancel sinx on numerator/ denominator

= 2cosxsinx = left side ⇒ verified

Answer:

C, just C

Step-by-step explanation:

Demonstrating all calculations would be too much word right now.

in general: Probability of Event A times Probability of Event B, and if there is more than one possible way, add up.

Answer: Ken Block ??

Step-by-step explanation:

Answer:ken block

Step-by-step explanation: