Answer:1.69*10^12 J
Step-by-step explanation:
From figure above, using triangle ratio
485/755.5=y/l. Cross multiplying 485l=755.5y Divide via 485) hence l= 755.5y/485
Consider a slice volume Vslice= (755.5y/485)^2∆y; recall density =150lb/ft^3
Force slice = 150*755.5^2.y^2.∆y/485^2
From figure 2 in the attachment work done for elementary sclice
Wslice= 150.755.5^2.y^2.∆y.(485-y)/485^2
= (150*755.5^2*y^2)(485-y)∆y/485
To calculate the total work we integrate from y=0 to y= 485
Ie W=[ integral of 150*755.5^2 *y^2(485-y)dy/485] at y=0 and y= 485
Integrating the above
W= 150*755.5^2/485[485*y^3/3-y^4/4] at y= 0 and y=485
W= 150*755.5^2/485(485*485^3/3-484^4/4)-(485.0^3/3-0^4/4)
Work done 1.69*10^12joules
Given:
The equation is:

To find:
The next step in simplifying the equation by using distributive property.
Solution:
Distributive property: According to this property if a, b and c are three real numbers, then

We have,

Using the distributive property, we get

It can be written as:

Therefore, the next step of the simplification is
.
Answer:
19.5
Step-by-step explanation:
Here is a key factors in triangles, it must add up to 180 degrees.
You have three angles in a triangle ABC,
A = 127
B = 33.5
C = ?
In this case you would add the two together (160.5) and subtract from 180 giving you the angle C = 19.5
CHECK:
Add 127+33.5+19.5 = 180! Yes!
PLs mark brainliest if you can! :)
Since It's parallel to <span>y=5x-9 the slope of this new line is 5
so the equation looks like </span><span>y=5x+b
to find be we just replace x by 2 and y by 3
3=10-b so b = -7
the equation is </span><span>y=5x-7</span>
Since the slope is -2 because
x1: -1 x2: 0
y1: 2 y2: 0
y2-y1/x2-x1 = slope (0-2/0+1= -2/1 = -2)
You would havr to change it into point slope form so it would look like this
Y-2 = -2(x+1)
y-2 = -2x -2
+2 +2
y = -2x + 0
Hope this helps:)