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3 years ago

The volume V of a cone varies jointly as the area of the base B and the height

Mathematics

1 answer:

seraphim [82]3 years ago

3 0

Answer:

h = 9 cm.

Step-by-step explanation:

V = kBh where k is the constant of variation.

From the given info:

32 = k*16*6 = 96k

So k = 32/96 = 1/3.

So we have the equation of variation:

V = 1/3Bh

When V = 60 B = 20, so:

60 = 1/3 20h

20h = 60 * 3 = 180

h = 180 /20 = 9.

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At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students wa

77julia77 [94]

Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits credits

---------- = ----------

students students

14 ?

---- = -----

1 138

14 times 138

1932 credit hours

6 0

3 years ago

Find the value of X and give a reason for the relation ship between the angles.

Ostrovityanka [42]

Answer:

x = 55

Step-by-step explanation:

(x - 14) + 99 + 220 = 360

x - 14 + 99 + 220 = 360

x - 14 + 319 = 360

x + 305 = 360

x = 360 - 305

x = 55

-TheUnknownScientist

8 0

3 years ago

If anyone knows the answer to these can u please help? thank you! :)

Dennis_Churaev [7]

Answers:

A) Ray QS or Ray QR
B) Line segment QS or SQ
C) Plane QSR
D) Line QS or RQ

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

Explanation:

Part A)

When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.

The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.

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

Part B)

A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).

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

Part C)

When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.

So that's how we get the name "Plane QSR". The order of the letters doesn't matter.

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

Part D)

To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.