Answer:
13) 8.6
Step-by-step explanation:
To find the side length, use a trig function to solve for x.
You have the adjacent side and hypotenuse to the angle. Use the cosine function since its ratio is adjacent over hypotenuse.
This means Cos 52 = x / 14. Solve for x.
Cos 52 = x / 14
14* Cos 52 = x
8.6 = x
The formula for finding the volume of a rectangular prism (the cargo area of the truck is the shape of a rectangle in 3D; a rectangular prism) is V = (l)(w)(h); where <em>l</em> = length, <em>w</em> = width, and <em>h</em> = height.
First, substitute the known values into the equation:
l = 8.5
w = 6
h = 10.5
V = (8.5)(6)(10.5)
<em>(Note: .5 = 1/2)</em>
Now, all we need to do is simplify:
V = 535.5 ft³ OR 535 1/2 ft³
<em>(Note: ft</em><em>³</em><em> is the condensed form of cubic feet)</em>
You can pick whichever form your test directs you to use. They are both the same value though.
Hope this helps!
Answer:
Two tailed
Step-by-step explanation:
Given that a security expert claims that exactly 13% of all homeowners have a home security alarm.
Here we have to check whether the contention of security expert is correct or not
The test is to be done for the proportion of homeowners who have a home security alarm to total homeowners.
Let p be the proportion.
For this we set up hypotheses as:

This is a two tailed test
Because alternate is for not equal to. If alternate is for > or < we say one tailed and if not equal to we say two tailed.
Answer:
#1- 20.25 kg of milk
#2- 80kg of butter
Step-by-step explanation: