The equation would be
314 = 0.4(x) + 250
Would you like me to explain?
You calculate it by taking the change in y's over the change in x's. So (y1-y2)/(x1-x2). You get the equation (-5 - 3)/(5 - 7) which equals 4. 4 is the slope.
Answer:
Basketball = 0.743
Step-by-step explanation:
Given
Tennis:
Starting Height = 200 cm
Rebound Height = 111 cm
Soccer Balls;
Starting Height = 200 cm
Rebound Height = 120 cm
Basketball:
Starting Height = 72 inches
Rebound Height = 53.5 inches
Squash:
Starting Height = 100 inches
Rebound Height = 29.5 inches
For measuring the bounciness of a ball, one needs that starting Height of and the rebound Height of that ball which have been listed out above.
Calculating the rebound ratio of each balls.
Rebound Ratio = Rebound Height/Starting Height
Tennis: 111/200= 0.556
Soccer Balls: 120/200 = 1.667
Basketball: 53.5/72 = 0.743
Squash: 29.5/100 = 0.295
From the rebounding ratio calculated above, it can be seen that basketball has the highest rebound ratio of 0.743 and is the bounciest of all whole Squash has the least rebound of 0.295 ratio, hence it is the least bounce of all.
Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
