Answer:
335.115
Step-by-step explanation:
First you find the area of the circles to do that you do pi times radius squared
For the top square do 3.14(pi)time 3²=28.26
For the middle square do 3.14 times 4.5²=63.585
For the bottom square do 3.14 times 6²=113.04
Now find the area of the entire thing do 18×12+9+6+3=18×30=540
Finally do 540-the area of the squares 28.26-63.585-113.04= 335.115
So the shaded region is 335.115
Hope this helps and have a great day!
Hey there! :D
Think of this like a triangle. The dock is 15 feet above ground. It is the side of the triangle. The line connecting the bottom of the dock to the base of the conveyor belt is 40 feet. This is like the base.
The conveyor belt itself is at a diagonal, and should be the hypotenuse.
Use the Pythagorean theorem.
a^2+b^2=c^2
15^2+40^2= c^2
225+1,600= c^2
Add the values together.
1,825= c^2
Find the square root of 1,825.
c= 42.7 (rounded to the nearest tenth)
The conveyor belt is 42.7 feet long.
I hope this helps!
~kaikers
The complete proof statement and reason for the required proof is as follows:
Statement Reason
m<PNO = 45 Given
MO Given
<MNP and <PNO are a
linear pair of angles Definition of linear pairs of angles
<MNP and <PNO are
supplementary angles Linear Pair Postulate
m<MNP + m<PNO = 180° Definition of supplementary angles
m<MNP + 45° = 180° Substitution property of equality
m<MNP = 135° Subtraction property of equality
When using the Law of Sines the ambiguous case can result.
Source:
http://www.1728.org/trigtut2.htm
Scroll to the middle of the page.
Where is the rest of the information?
