A right triangle has three sides with length 148, 140, and 48. What is the length of the hypotenuse?

Which of the following is most likely the next step in the series ?

GalinKa [24]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Which of the following is most likely the next step in the series ?

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

The next series is most probably going to be option D. 
We can see from the series that, figure 1 has 4 points marked on the circle from which they formed a rectangle.
In the next figure, there are 3 points marked which together when joined forms a triangle.
Then the next circle has 2 points marked on it which makes a straight line.
So, obviously the next figure/circle in the series should have only 1 point marked on it. This won't form anything as you can't join just 1 point with something.

7 0

3 years ago

Read 2 more answers

A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

valina [46]

Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$

Note that: 1 is subtracted because it is a probability without replacement

$P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}$

$P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}$

$P(Same)=\frac{20}{380} + \frac{30}{380} + \frac{72}{380}$

$P(Same)=\frac{20+30+72}{380}$

$P(Same)=\frac{122}{380}$

$P(Same)=\frac{61}{190}$

4 0

3 years ago

Solve for x algebraically:

Masja [62]

THE GIVEN QUESTION; 7x -3(4x-8) < 6x +12 - 9x THE GIVEN INTERVAL OF X IS FROM [4,8] SO THE VALUE OF X ={4,5,6,7,8} THE GIVEN QUESTION CAN BE EVALUATED TO 7x - 12x+ 24 < 12 - 3x -5x + 24 < 12 - 3x //USING BODMAS RULE NOW SUBSTITUTING THE VALUE OF X: 1) X=4 SOL: 4<0 2) X=5 SOL: -1<-3 3) X=6 SOL: -6<-6 4) X=7 SOL: -11<-9 5) X=8 SOL: -16<-12 HENCE THE VALUE OF X=7,8 SATISFY THE GIVEN INEQUALITY

5 0

3 years ago

Find the ratio of 18 and 30 reduced to simplest form...

saveliy_v [14]

First you'll take 18/2 which equals 9. Then 30/2 which equals 15. Then you can divide both 9 and 15 by 3. So 9/3 equals 3 and 15/3 equals 5. So the answer is 3:5.

4 0

3 years ago

Read 2 more answers

Question 6 of 10

Veseljchak [2.6K]

Answer: A

Explanation:

y = [x] - 2

Y intercept is at (0,-2) which matches the graph above

6 0

3 years ago