Answer:
30 degrees.
Step-by-step explanation:
We are going to use two theorems: Triangle Sum Theorem and Vertical Angles Theorem. Please let me know if you need me to define them.
Here is how I solved this problem:
75+75 = 150.
180-150 = 30(Triangle Sum theorem)
x = 30(Vertical Angles theorem.)
Answer:
Step-by-step explanation:
Given
Hemisphere
Cone
Required
Determine the radius of the cone
First, we calculate the volume (V1) of the hemisphere.
Substitute 7 for r
Volume (V2) of a cone is:
Because the lead is cast into a cone, then they have the same volume.
So, we have:
Substitute 49 for h
Divide both sides by 49
<em>Hence, the radius of the cone is 3.74cm</em>
Part A. Your model is as good as any. It is hard to tell if the label needs to include the descriptor (length = 12 ft, for example). Certainly your model is sufficient for Part B.
Part B. The total area is the sum of the areas of each of the 6 faces of the box. Opposite faces are the same area, so you have
A = 2(LW +WD +LD) = 2(LW +D(L +W))
Subsituting the given dimensions, you get
A = 2((12 ft)(6 ft) +(3 ft)(12 ft +6 ft))
A = 2(72 ft² +(3 ft)(18 ft))
A = 2(72 ft² +54 ft²) = 252 ft²
The least amount of paper required to cover the box is 252 ft².
Answer:
Go on Answers.com your welcome.
6.5 is the mean of the data
