Answer: we can make 15,504 different math tests
Step-by-step explanation:
Ok, we have a bank with 20 questions (Q1, Q2........ , Q20)
and we want to make a test with 15 of those 20 questions.
As the order of the questions does not matter in the thest ( is the same if the order is Q1, Q2, ...., Q15 than if the order is Q15, Q14, ....., Q1 )
So we only want the number of combinations.
When we have N elements and we want to create groups of K elements, the total number of combinations is:
Here N = 20 and K = 15
So we can make 15,504 different math tests
The answer is 180ft squared. I got this when I used the formula 1/2 times base times height
equation 1/2 timed 20 times 18
- u can divide half of 20 or 18
10 times 18 = 180
Answer:
Step-by-step explanation:
Simplifying
m = 10x + -1x
<em>Combine like terms</em>: 10x + -1x = 9x
m = 9x
Solving
m = 9x
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Simplifying
m = 9x
Hope this helps :-D
Answer:
10657.5
Step-by-step explanation:
<h2>
Long way that is unnecessarily long</h2>
We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and 251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 - 105*(√51976-203))/2 = 105*203/2 = 10657.5
<h2>Short way</h2>
ALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5
If we are rounding to the nearest tenth, then it is 28.9 seconds. The way you can figure this out is by looking at the hundredths place. If it is lower than 5, then the tenths stay the same, if it's 5 or higher, then the tenths number goes up one.