Answer: They will travel about 131.18 yards.
Step-by-step explanation:
Given : A football field is 120 yards long by 53 yards wide.
We know that a football field is rectangular in shape.
Each interior angle in a rectangle is a right angle.
Then, by Pythagoras theorem, we have
(Diagonal)² = (Length)² + (Width)²
If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-
Hence, they will travel about 131.18 yards.
The total is 275 because 100% divided by 20% is 5 and if 20%= 55 then that means that 55 goes into 100% 5 times so you multiply 55 by 5 to get 275. Hope I helped! Please rate me as the brainliest!
Given that mean=56.1 and standard deviation=8.2, P(x>67.5) will be found as follows:
The z-score is given by:
z=(x-μ)/σ
thus the z-score will be given by:
z=(67.5-56.1)/8.2
z=11.4/8.2
z=1.39
thus
P(z=1.39)=0.9177
thus:
P(x>67.5)=1-P(z>0.9177)
=1-0.9177
=0.0823
Answer: A. 0.0823
Answer:
m = -1/6.
b = 5.
Step-by-step explanation:
Slope m = (3 - 6) / (12 - -6)
= -3 / 18
= -1/6.
y = -1/6 x + b
when x = 12 y = 3 so
3 = -1/6 * 12 + b
b = 3 + 2 = 5.
Using the definition of the tangent function, you can find ...
... FA = DF·tan(30°) = (7√3)·(1/√3) = 7
Then the usual formula for triangle area can be used:
... Area = (1/2)bh = (1/2)·(7√3)(7)
... Area = (49/2)√3 square units
... ≈ 42.44 square units
