Answer:
length of the prism = 244 - (width x height) / width + height)
Step-by-step explanation:
Let length be a and width be b and height be c
2 (a * b) + 2 (b* c) + 2 (a * c) = 488
2ab+ 2bc + 2ac = 488
ab + bc + ac = 244
ab + ac = 244 - ac
a (b + c) = 244-ac
a = 244-bc / b + c
Therefore the length of the prism = 244 - (width x height) / width + height)
If you were to draw the cosx and sinx graph there will be infinite solutions at their interceptions which are the multiple of pi/4
Answer:
Step-by-step explanation:
The expected return is given as
Expected Return = SUM (Return i x Probability i). i=1,2,3.....
First investment
Probability of 0.7, it returns 60cents per dollars
Second investment
Probably of 0.3, it loses 20cents per dollar.
Expected return=(0.7×60)-(0.3×20)
Excepted return= 42-6
Excepted return=36cents
To dollars, 1cents is 0.01dollars
Then, 36cents = 0.36dollars
Expected return=$0.36
To write 8/33 as a decimal you have to divide numerator by the denominator of the fraction.
<span>We divide now 8 by 33 what we write down as 8/33 and we get 0.24242424242424 </span>
<span>And finally we have: </span>
8/33 as a decimal<span> equals </span><span>0.24242424242424</span>
a) We have to calculate the height of the pad.
We know that the volume will be 4704 cubic feet.
We also know that the base of the pad is a square of side length 56 feet.
As the volume is the area of the base times the height, we can find the height by dividing the volume by the base area:
The height is 1.5 feet.
b) Now, we have a circular pad of which we know the height (1.5 feet) and the volume (4705 ft³). The area of the base will have to be the same as the are of the square: 3136 ft².
The area of this circular pad can be expressed as πD²/4, so we can calculate the diameter D as:
The diameter is approximately 63.21 feet.
Answer:
a) The pad will be 1.5 feet thick
b) The diameter will be 63.21 feet.
