Answer:
exact: SA = 260π in.²
approximate: SA = 816.81 in.²
Step-by-step explanation:
SA = 2πr² + 2πrh
r = 10 in.
h = 3 in.
SA = 2πr(r + h)
SA = 2π(10 in.)(10 in. + 3 in.)
SA = 260π in.²
SA = 816.81 in.²
Answer:
In order to maximize profit of $3700 we need to produce 50 units of Chairs and 9 units of Sofa
Step-by-step explanation:
Let X be the number of units of Chairs produced and Y be the number of units of Sofa to be produced
wood foam rubber square yards of material Selling Price
Chairs 20X 1X 2X = $20X
<u>Sofa 100Y 50Y 20Y = $300Y</u>
1900 500 240
20x+100y=1900
x+50y=500
2x+20y=240
use equation 2 to find the value of x
x= 500-50y
Substitute value of x in equation 3
2(500-50y) + 20y= 240
1000-100y + 20y = 240
1000-240 = 100y-20y
760 = 80y
y= 9.5 ≈ 9 units ( since we can't make half of any product )
Put value of y in equation 2
x= 500- 50 ( 9)
x= 50 units
Maximize profit = 20X + 300Y
= 20(50) + 300( 9)
= $3700
Answer:
Step-by-step explanation:
Work via factoring by groups:
!) re arrange the terms as follows:
then extract the common factor for the first two terms (a), and separately the common factors for the last two terms (3 b):
Now notice that the binomial factor (a-5 b) is in both expressions, so extract it:
which is the final factorization.
Answer:
y=1/2x-3
Step-by-step explanation:
First, let's put the line into slope intercept form
2y+4x=12
subtract 4x from both sides
2y=-4x+12
divide by 2
y=-2x+6
the slopes of perpendicular lines are negative and reciprocal. If you multiply the slopes of the lines together, the result is -1. Therefore, to find the slope of the perpendicular line, use this formula:
-2m=-1
divide by -2
m=1/2
so the slope of the perpendicular line is 1/2
here is the new line so far:
y=1/2x+b (b is a place holder)
now, since the line passes through the point (8,1), it means that (8,1) is a solution of the line. So we can substitute it into the equation
1=1/2(8)+b
1=4+b
subtract 4 from both sides
-3=b
so the line is y=1/2x-3
Hope this helps!
