Answer:
40 yards
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
Using this, let's set the length as x.
42² + x² = 58²
Simplify.
1764 + x² = 3364
Subtract 1764 from both sides.
x² = 1600
Take the square root.
x = 40
Thus, the length she would swim would be 40 yards.
Divide the second equation by 2
4m-3n=18
multiply by -1
-4m+3n=-18
add to first equation
4m-4m+3n-3n=27-18
0=9
false
there is no solution
Answer:
, 60.494%
Step-by-step explanation:
I am going to try to tackle this. I might miss a step as I am currently taking discrete mathematics.
We want to find all the possibilities with 1y, 2ys, 3ys, and 4ys, out of all total possibilities.
_ _ _ _ _ _ _ _ _
For the letters, in each spot, we have 3 choices. For the numbers, we have 10 choices in each spot
so
3*3*3*3 * 10*10*10*10*10
= 81*100000
= 8100000
The number of Y's will never affect the number of permutations of the numbers.
So:
For 1 y, we have
Y _ _ _ * 10*10*10*10*10
But we also have
_ Y _ _
_ _ Y _
and
_ _ _ Y
So we can multiply the number we get in one calculation by 4
4 *
Y _ _ _ * 10*10*10*10*10
2*2*2 * 10*10*10*10*10
= 800000 * 4 = 3200000
For 2 y's, we have
YY _ _
_ YY _
__ YY
3*
YY 2*2 * 10^5
4 * 100000
400000 * 3 = 1200000
For 3 y's, we have
YYY _
_ YYY
2 *
YYY 2 * 10^5
200000 * 2
= 400000
For 4 y's, we have
YYYY * 10^5
100000
Now we can add them all up and divide it by our original number 8100000

PNL and VNM; PNM and LNV. THis is because vertical angles are always congruent.
Hope this helps!
Answer:
12.22
Step-by-step explanation:
I don't know if 12.22 is an answer for you but if it's not I would round to 12. What you do is multiply 9.32 by 16 3/4 which gives you 156.11. Take 156.11 and subtract 150 since Garth is putting that in the bank which leaves you with 6.11. Lastly you will divide 6.11 by .5 which will give you 12.22. So Garth can buy 12 raffle tickets.