Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
Answer:
B. 39.59
Step-by-step explanation:
So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as 
. So let's plug in known values:
Multiply both sides by x
divide both sides by sin(43)
Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682
simplify the fraction
The answer to is 15 because your trying to make all of the angles add up to 90, which 45+30= 75 so then you only need 15 more to add up to 90.
Answer:
I think it is 10
Step-by-step explanation:
Only because I believe n is still unknown and 4 must be multiplied
example
4(10 + n)
40 + 4n
now if P = 10
4(n + p)
4(n + 10)
4n + 40
Answer: the answer would be To make sure they remain effective.
Step-by-step explanation:
It wouldn't be to make sure they are up to code because fire extinguishers do not use code, code is used in electronics. For the second option and the last option it would not be this because they could be trained in a practice instead of using the real thing.
