To which subset of the real numbers does -18 belongs ( irrational, rational, integer, natural, real numbers, whole)

Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm3, what is the v

disa [49]

Answer:

Option A $V_B=19\ cm^3$

Step-by-step explanation:

The volume of a cone is:

$V_B = \pi\frac{hr ^ 2}{3}$

The volume of a cylinder is:

$V_A = \pi(r ^ 2)h$

Both figures have the same height h and the same radius r.

The volume of the cylinder $V_A = 18\pi\ cm ^ 3$

We want to find the volume of the cone.

Then, we find r and h:

$V_A = 18\pi = \pi(r ^ 2)h$

We simplify.

$V_A = 18 = (r ^ 2)h$

Then the product of $(r ^ 2)h = 18$ .

We substitute this in the cone formula and get:

$V_B =\frac{\pi}{3}(18)\\\\V_B = \frac{18}{3}\pi\\\\V_B=19\ cm^3$

8 0

3 years ago

Read 2 more answers

On a quiz, students were awarded a certain number of points for a correct answer and penalized a certain number of points for an

SVETLANKA909090 [29]

Given that the score of the student on the quiz was 25c - 10(15 - c)

It can be seen that the first term of expression for her score (i.e. 25c) shows that 25 marks were awarded to each correct answer.

The second term of the expression (i.e. 10(15 - c)) represent that 10 marks were deducted from each wrong answer.

Thus, the number of wrong answers is 15 - c.

The sum of the correct answers and the wrong answers gives the total number of questions in the quiz.

Thus, the total number of questions in the quiz is given by 15 - c + c = 15.

Therefore, there are 15 questions in the quiz.

8 0

3 years ago

My watch is 5 minutes slow, but i think it is 3 minutes fast. I arrive 'on time' according to my calculations to catch the 1:15

faltersainse [42]

1:15 pm + 5 minutes =1:20 PM You add 5 minutes because your watch is slow then subtract 3 minutes because you thought the watch was 3 minutes fast. real time is 1:17 PM
1:20 pm - 3 minutes = 1:17 PM

4 0

3 years ago

A company with a fleet of 150 cars found that the emissions systems of only 4 out of the 32 they tested failed to meet pollution

lidiya [134]

Answer:

Yes

Step-by-step explanation:

First, we need to find how many cars out of the entire fleet fail the test

4/32 = x/150

Cross multiply to find x

32x = 150(4)

32x = 600

32x/32 = 600/32

x = 18.75

I'll round it to 19. So 19 out of 150 cars fail the test. Find the percentage of this and compare it to the 30% estimate

19 /150 = 0.127

0.127(100) = 12.7%

12.7% is obviously lower than 30% so yes it is strong evidence the percentage of the fleet out of compliance is different from their initial thought

8 0

3 years ago

Find the value of x if -x+4=-9

vladimir1956 [14]

Answer:

-13

Step-by-step explanation:

x+4=-9

-4 -4

x= -13

If you did 9+4 you'd get 13. But instead its negative because x is negative.

6 0

3 years ago