Answer:
76.4 m
Step-by-step explanation:
The race track has two straights and two semi circles.
Each straight is 80m
total perimeter for the straights is 80 * 2 = 160m
two semi circles which creates a full circle
perimeter of a full circle = 
d
NB : (d) is the diameter
therefore we can find the value of the diameter
400 = 160 + d
400- 160 = d
240 = d
d = 240/
d = 76.394.....
<u>d = 76.4 m</u>
The Pythagorean Theorem formula is listed below. It can only be applied to right triangles.
(side1)^2 + (side2)^2 = (hypotenuse)^2
Since we are given that the base is 8cm, we know that the side of one triangle is 4cm. We are also given that the hypotenuse is 8cm. The height of the cone will be one of the short sides. If we plug these numbers into the formula, we get the following...
4^2 + height^2 = 8^2
If we solve for height, we get the following...
height = sqrt(8^2 - 4^2) = sqrt(64 - 16) = sqrt(48)
Since we are only asked for what is inside the square root, our answer is 48.
Answer:
C = 314 meters
Step-by-step explanation:
When we go around a circle, we are trying to find the circumference
The circumference is
C= pi *d
C = pi *100
Let pi = 3.14
C = 3.14*100
C = 314 meters
Answer: (14.18, 15.08)
Step-by-step explanation:
Given : Sample size : n= 64
Sample mean : 
Standard deviation : 
Significance level : 
Critical value : 
The confidence interval for population mean is given by :-
Hence, the 90% confidence interval for the population mean of waiting times is (14.18, 15.08).
Simplify and solve quadratic equation:
So numerically the only solution is x=-4.
However, mathematically, there are two solutions, {-4,-4}, or x=4,multiplicity 2.
