Answer:
To find the hypotenuse you need to use the Pythagorean Theorem which is
a^2+b^2=c^2
Where a and b are your two sides and c is your diagonal line
So you want to plug the numbers in for the right variables
5^2+12^2=c^2
We want to find what c equals so we are first gonna simplify
25+144=c^2
we take 5^2=25, and 12^2=144, then we add them together 25+144=169
169=c^2 now you want to take 169 and square root it because the opposite of squaring is taking it by the root square
The square root of 169=13
Your hypotenuse is 13
Hope this helps ;)
Answer:
Height is 8cm
Step-by-step explanation:
A= bxh
9.6 = 1.2 x h
÷1.2
8 = h
Check:
8 x 1.2= 9.6cm
Hope this helps!
For the given situation we have a total of 259,459,200 permutations.
<h3>
How many permutations are?</h3>
First, how we know that it is a permutation?
Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).
Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.
- For the first position there are 15 options.
- For the second position ther are 14 options (one runner already finished).
- For the third position there are 13 options.
- And so on.
Then the total number of permutations (product between the numbers of options) is:
P = 15*14*13*12*11*10*9*8 = 259,459,200
If you want to learn more about permutations:
brainly.com/question/11732255
#SPJ1
Answer:
y = (x -5)² + 3.
Step-by-step explanation:
Given : parabola with a vertex at (5,3).
To find : Which equation has a graph that is a parabola.
Solution : We have given vertex at (5,3).
Vertex form of parabola : y = (x -h)² + k .
Where, (h ,k ) vertex .
Plug h = 5 , k= 3 in vertex form of parabola.
Equation :y = (x -5)² + 3.
Therefore, y = (x -5)² + 3.
The answer is 14
-18/6 is -3. add that to 17 and you get 14.
