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4 years ago

Aright triangle is rotated around a line that includes one of the legs of the triangle

Mathematics

2 answers:

Greeley [361]4 years ago

5 0

I believe the answer is 2. A cone.

makvit [3.9K]4 years ago

5 0

Answer:

The answer is a cone: option 2

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Which represents the solution set of inequality 5x-9 <21

Crank

Answer:

$x$

All real numbers less than $6$

Step-by-step explanation:

we have

$5x-9$

Adds $9$ both sides

$5x-9+9$

$5x$

Divide by $5$ both sides

$x$

the solution is the interval ---------> (-∞,6)

All real numbers less than $6$

see the attached figure to better understand the problem

5 0

4 years ago

Read 2 more answers

Which of the following is a good representation of a plane?

NikAS [45]

A table top would be a good representation of a plain because it is a flat surface, and isn't a 3D object, if that makes sense. A box wouldn't be a plane because it has 6 different sides but a table only has one side and one plane. hope this helps :)

8 0

3 years ago

A man and a woman agree to meet at a cafe about noon. If the man arrives at a time uniformly distributed between 11:40 and 12:10

kompoz [17]

Answer:

0.3888

Step-by-step explanation:

To solve the exercise we need a neutral time, so we define at 12:00 as time 0.

If the man arrives in a uniformly distributed time between 11:40 and 12:10, the time is distributed from -20 to 10.

If the woman arrives in a time evenly distributed between 11:45 and 12:20, the time is distributed from -15 to 20.

Assuming that each one arrives at 12: X and 12: Y for men and women, then the space of our time is defined as

Man [-20,10]

Woman [-15,20]

So,

$f_x(x)=\frac{1}{10-(-20)}=\frac{1}{30}\\f_y(y)=\frac{1}{20-(-15)}=\frac{1}{35}$

Then,

$f_{xy}(x,y)=f_x(x)f_y(y)=\frac{1}{30} \frac{1}{35} = \frac{1}{1050}$

The probability of finding an arrival less than 5 minutes is

$P(|X-Y|\leq 5) = \int\limit^20_{-15} \int\limit^{x+5}_{x-5} f(x,y)dydx$

$P(|X-Y|\leq 5)= \frac{1}{1050}\int\limit^{20}_{-15} y|^{x+5}_{x-5}dx$

$P(|X-Y|\leq 5)= \frac{35*10}{900}=0.3888$

6 0

3 years ago

This hanger is in balance. There are two labeled weights of 4 grams and 12 grams. The three circles each have the same weight.

antoniya [11.8K]

Answer:

8/3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Saleem has $20. A fish tank that he wants to buy costs $140. He earns $23 per day at a restaurant. Saleem wants to know how many

mr_godi [17]

Answer:

Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.

Step-by-step explanation:

In order to create an inequality to this problem we first need to take the initial amount he has and sum it with the days he has to work "x" multiplied by the amount he earns each day. We then have:

saleem money = 20 + 23*x

Since he wants to buy a $140 fish tank he needs to work until his money is greater or equal than this amount. So we have:

23*x + 20 >= 140

23*x >= 140 -20

23*x >= 120

x >= 120/23

x >= 5.22

Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.

3 0

3 years ago