Answer:
150
Step-by-step explanation:
The perimeter of a triangle is defined or given as the summation of all its 3 sides.
Mathematically,
The perimeter of a Triangle = Side A + Side B + Side C
In the above question, we are to find the perimeter of Triangle AGN.
In the diagram , we have an inscribed circle of RTE
Therefore these values are given in the question.
Side AR = 35
Side RG = 21
Side EN = 19
We have an inscribed Triangle in the question with its side touching the Triangle. This means we have lines that are tangent. Hence we have,
Side EG = Side RG = 21
Side TN = Side EN = 19
Side AT = Side AR = 35.
Therefore, The Perimeter of Triangle AGN = Side AT + Side AR + Side TN + Side EN + Side EG + Side RG
= 35 + 35 + 19 + 19 + 21 + 21
= 150
The perimeter of Triangle AGN is 150
solution:
I choose 5 women from a pool of 10 in 10C2 ways.
I choose 5 men from a pool of 12 in 12C2 ways.
So total number of ways of choosing in 10C2 x 12C2. Now I need to arrange them in 5 pairs. This is where I have a different solution. The solution says that there are 5! ways to arrange them in pairs.
But I cant seem to understand why? My reasoning is that for first pair position I need to choose 1 man from 5 and 1 woman from 5. So for the first position I have 5 x 5 choices (5 for man and 5 for woman). Similarly for the second position I have 4 x 4 choices and so on. Hence the total ways are 5! x 5!
So I calculate the total ways as 10C2 * 12C2 * 5! * 5!. Can anyone point the flaw in my reasoning for arranging the chosen men and women in pairs.
Refer to the attached image.
Given the rectangle ABCD of length 'l' and height 'h'.
Therefore, CD=AB = 'l' and BC = AD = 'h'
We have to determine the area of triangle AEF.
Area of triangle AEF = Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE
Area of triangle ADF = 
= 
= 
Area of triangle ECF =
= 
= 
Area of triangle ABE =
= 
= 
Now, area of triangle AEF =
Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE
= 
= 
=
=
= 27 units
Therefore, the area of triangle AEF is 27 units.
Answer:
The probability of randomly select an adult that has between 18 and 29 years old and use social media is 22.3%
Step-by-step explanation:
As the test is targeted to 18-to-29-year-old adults using social media, we want to know the probability that a randomly selected adult uses social media and belong to the study group.
To achieve this, we have this data:
- 36% of all adults do not use social media
- 75% of all adults are >30 years old.
- The percentage of population that is <em>either</em> 18-29 years old <em>or</em> uses social media is 66.7%
Using the last data we have that
The probability of randomly select an adult that has between 18 and 29 years old and use social media is 22.3%
D. 1 3/4 min
When you go on a Ferris wheel you go up then down in a circular motion.
