Answer: 56 degree
Explanation:
2x + 16 + 3x + 2 + 2x + 2x = 180 (straight angle)
9x + 18 = 180
9x = 162
x = 162/9
x = 18
But WSV = 3x + 2
And x = 18
=> 3(18) + 2
=> 54 + 2 = 56
Answer:
600 books
Step-by-step explanation:
The bin's dimensions are
5 by 2 by 3
THe volume of the bin is the multiplication of the 3 dimensions given.
Volume of Bin = 5 * 2 * 3 = 30 cubic feet
Now, volume of each book would be gotten the same way. The dimensions of one book is:
1 by 0.5 by 0.1
Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet
The number of books that will fit in the bin would be:
30/0.05 = 600 books
<span>He believes that life is full of pain and suffering.</span>
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x),
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft
b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.
c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
