Answer:
<h2>By angle sum property:</h2>
BAC+ABC+BCA=180°
90°+45°+x=180°
135°+x=180°
x=45°=BCA
<h2>since BCA=ABC=<u> </u>45° each </h2><h2>therefore,</h2>

<h2><em><u>Hope </u></em><em><u>it </u></em><em><u>helps</u></em><em><u> you</u></em><em><u><</u></em><em><u>3</u></em></h2>
Answer:
So to maximize profit 24 downhill and 20 cross country shouldbe produced
Step-by-step explanation:
Let X be the number of downhill skis and Y the number of cross country skis.
Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours
Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.
Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90
total finishing time taken = 0.5x+1.5 y≤42
Profit function
Z = 50x+50y
Objective is to maximize Z
Solving the two equations we get intersecting point is
(x,y) = (24,20)
In the feasible region corner points are (0.28) (36,0)
Profit for these points are
i) 2200 for (24,20)
ii) 1400 for (0,28)
iii) 1800 for (36,0)
So to maximize profit 24 downhill and 20 cross country shouldbe produced.
Answer:
it should be option 2 and 4
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
19-3 will be greater
We are multiplying 1/2 *(19-3) which is multiplying by a number less than 1 it will be less than 1
18-3 = 16
1/2 * (19-3)
Using PEMDAS
We do parentheses first
1/2 ( 16)
Then multiply
8
Let us assume the regular price of each tube of paint = r.
0.50 off each tube.
New price of each tube = r - 0.50.
She buy 6 tubes.
Total price of 6 tubes = 6×(r-0.50).
We are given total price = $84.30 .
Therefore, we can setup an equation
6×(r-0.50) = 84.30.
Distributing 6 over (r-0.50), we get
6r - 3.0 = 84.30
Adding 3.0 on both sides, we get
6r - 3.0+3.0 = 84.30+3.0
6r = 87.30
Dividing both sides by 6, we get
6r/6 = 87.30/6
r = 14.55
<h3>Therefore, required equation is
6(r-0.50) = 84.30 and the regular price of each tube of paint is $14.55.</h3>