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sladkih [1.3K]
3 years ago
14

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume

of a cone.

Mathematics
1 answer:
melisa1 [442]3 years ago
8 0

Answer:

1st one is 1/3. The 2nd one is πr²h. The Last one is 1/3πr²h.

Step-by-step explanation:

The formula for the volume of a cone with the same base and height will always be 1/3 the volume of a cylinder. The exact formula for the volume of a cylinder is just πr²h. So, if a cone is 1/3 of that, it will result in 1/3πr²h.

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For 5 points and brainliest to the best correct answer, find the missing measures.<br> Thank you
zzz [600]

Answer:

  • x = 7
  • y = 97°
  • z = 19

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

  y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

  (7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

  10x +27 = 97 . . . . . . . collect terms

  10x = 70 . . . . . . . . subtract 27

 x = 7 . . . . . . . . divide by 10

__

The side marked Z is congruent to the opposite parallel side, so ...

  z = 19

__

The missing measures are ...

  • x = 7
  • y = 97°
  • z = 19

_____

<em>Additional comment</em>

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

  (7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

4 0
2 years ago
What is the prime factorization of 144?<br> A) 4 x 36<br> OB) 2x6<br> C) 2x32<br> OD 12x12
mezya [45]

Answer:

12x12

Step-by-step explanation:

12x12=144

3 0
3 years ago
Read 2 more answers
Uh yo how do i make histogram
BlackZzzverrR [31]

Answer:

u can use desmos to help u.

Step-by-step explanation:

4 0
3 years ago
According to a study, 15 out of 50 adults have allergies. What percentage of adults do not have allergies?
love history [14]

Answer:

70% of adults do not have allergies.

Step-by-step explanation:

It states that 35 out of 50 adults do not have allergies. If we turn this into a fraction (35/50), we can then multiply the denominator by 2 to make it 100. We would then also multiply the numerator by 2.

35 x 2 =70

70/100 = .7

.7 is just the decimal form of 70%

3 0
3 years ago
Which equation represents the line that passes through (–6, 7) and (–3, 6)?
kogti [31]

think its b but im not entirly sure

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