<h3>
Answer: 32</h3>
Explanation:
If a set has n items inside it, then there will be 2^n different subsets. This includes the original set itself (since any set is a subset of itself).
Here we have n = 5 items in the given set, so there are 2^5 = 32 different subsets.
For more information, I recommend looking up the term "power set".
Step-by-step explanation:
(You might need to draw the triangle on a piece of paper to follow)
First I tried to find the height in terms of<em> a</em>.
If you draw the height in, the triangle is cut in half. That half triangle is a right triangle.
Using the Pythagoras theorem you can find out the height. Since you know that the hypotenuse is also <em>a </em>(because it's an equilateral triangle) the equation would be:
(a/2)² + h² = a²
Assuming that h = height
(It's a/2 because when you cut the triangle in half, the base of the right triangle became a/2)
This equation is simplified:
a²/4 + h² = a²
a² + 4h = 4a²
4h = 3a²
h² = 3a²/4
Now, remeber that everything is squared so it should be
h = a√3/2
Now we have the height. To get the area we need to multiply it by the base, which is <em>a, </em>and then divide it by 2<em>.</em>
a√3/2 × a ÷ 2
a²√3/2 ÷ 2
a²√3/4
And there you go. Thats the area.
Answer:
1. 45
2. 45
3. 90
4. 45
5. 45
6. 60
7. 60
8. 60
9. 60
10. 60
Step-by-step explanation:
To find an average you take the numbers to be averaged and add them together then You take the number and divide it by the number of numbers, in this case 4, and that gives you the average.
on this problem you want to do the opposite. you know the average she wants, an 87, so you multiply it by 4. 87*4=348. then you add the three numbers you have (88,81 and 87) and you get 256.
then you subtract 256 from 348 and you get 92. 92 is your answer to check just add 87+81+88+92=348
348/4=87
87 was the average she wanted.
Hope this helped! good luck :)
Given, there are an average of 150 citizens eat daile in the cafeteria.
The average price of their meals = $5.95.
The discount given for sinior citizens in their meals = 20%
So we have to find 20% of $5.95 first.
20% of $5.95 = 
= 
= 
= 
So, the amount of discount given to the senior citizens = $1.19 per head.
As there are 150 cinior citizens daily.
So total discount given daily = $
=$
So we have got the required answer.
Option C is correct here.
