Answer:
0.49 radians or 28.07 degrees
Step-by-step explanation:
Please recall that the definition of the tangent of an angle is "the ratio of the length of the side opposite the angle to the length of the adjacent side, of a right triangle."
Here, opposite side length 8
tan x = ------------------------------------- = ---------
length of adjacent side 15
We use the inverse tangent function to determine the angle x from the given information:
arctan 8/15 = x
Using a calculator, we find that x = 0.49 radians.
The measure of this angle, in degrees, is found by multiplying 0.49 radians by the conversion factor
180 degrees
--------------------
pi radians
which, in this case, works out to 28.07 degrees.
Answer: 56 meters long and 49 meters wide
Step-by-step explanation:
Convert 350% to a decimal. 350% is 3.5. Each lenth is 3.5x larger than the original pond.
16*(3.5) =56 meters length
14*(3.5) = 49 meters width
56 meters long and 49 meters wide
Answer:
Hey!
Your answer is C.42.4yd
Step-by-step explanation:
There are 2 ways you can work this on out...
1. Using Pythagoras Theorem...
= 30^2 + 30^2 = 1,800 (30^2=900 so you've added 2 of those to make 1,800)
= SQUARE ROOT THE ANSWER OF 1,800
= 42.42640687119285
TO GET A MORE PRECISE ANSWER WE ROUND IT UP TO 1 decimal place
= 42.4 yd is the diagonal length of the dance floor!!
HOPE THIS HELPS!!
Answer:
Margin of error = 4.21 ounces
Step-by-step explanation:
According to the Question,
- Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces
Therefore, Sample mean = 31 ounces , Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces
- Thus, Margin of error =
× σ / √n (
at α=.010 is 1.645)
Putting The Values, We get
1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21
Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces