Answer:273.6083333
Step-by-step explanation:
Answer:
After turn one she will have 0 points
After turn 2 she will have 8 points
After turn 3 she will have 7 points
She will not earn bonus points because she could not reach ten points
Hope this helps :)
Answer:
The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).
Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.
Here's a problem:
c ⊿ a (12)
b (6)
C is missing, we have to find C, so here's what we do:
Step 1: You square all the numbers in the equation
12² + 6² = c²
↓
144 + 36 = c
Step 2: You add 144 + 36 and you get 180
Step 3: Then you find the square root >>
and you get ≈13.4
Now sometimes, the a or b would be missing, for example:
c (13)⊿ a
b (5)
A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)
Step 1: You square all the numbers in the equation
a² + 5² = 13²
a + 25 = 169
For this next part, you must subtract a or b (in this case, b) on both sides, for example:
25 – 25 = 169 - 25
25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.
Then we find the square root of 144 and we get 12
I hope this helps :)
Let a be the amount needed of 70% pure antifreeze, and let b be the amount needed of 95% pure antifreeze.
0.7a + 0.95b = 180 * 0.9 .........(1)
a + b = 180 .............................(2)
b = 180 - a ..............................(3)
Plugging the expression for b in equation (3) into equation (1), we get:
0.7a + 0.95(180 - a) = 162 ......(4)
Solving equation (4) gives the value a = 36, and plugging this value for a into equation (2) we get b = 144.
Amounts needed are therefore 36 gallons of 70% pure antifreeze and 144 gallons of 95% pure antifreeze.