Answer:
the formula for finding the perimeter of a rectangle is P=2L+2W
an example of how to find the perimeter is
Explanation:
For a rectangle, its perimeter is the sum of all for sides.
The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.
54=20+20+S+S
Simplify
54=40+2S
Solve for S
14=2S
S=7
Step-by-step explanation:
Answer: b = 8
Step-by-step explanation:
Use the Pythagorean theorem
A square + B square = C square
C square - A square = B square
C square - B square = A square
10 - 6 = b --Square it
100 - 36 = 64 (square root)
64 = 8
b = 8 miles
Answer:
a.
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:

D. {x | x E R} because its all real numbers
Answer: 95% confidence interval would be (26.01,29.39).
Step-by-step explanation:
Since we have given that
n = 50
Mean = 27.7
Standard deviation = 6.12
We need to construct 95% confidence interval for the population.
so, z = 1.96
So, it becomes,

Hence, 95% confidence interval would be (26.01,29.39).