Answer: B, is the answer
Step-by-step explanation:
The way that the line goes from 6 is represented by the equation
<h3>
Answer: 65/63</h3>
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Explanation:
Draw a right triangle in the first quadrant, aka northeast quadrant, as shown in the diagram below.
Cosecant involves the ratio of hypotenuse over opposite. It's the reciprocal of sine
sin(angle) = opposite/hypotenuse
csc(angle) = hypotenuse/opposite
since csc = 1/sin
Use the pythagorean theorem to solve for b in the diagram
a^2+b^2 = c^2
16^2+b^2 = 65^2
256+b^2 = 4225
b^2 = 4225-256
b^2 = 3969
b = sqrt(3969)
b = 63
So this is the adjacent side. The secant ratio involves hypotenuse over adjacent (it's the reciprocal of cosine).
sec(angle) = hypotenuse/adjacent
sec(A) = 65/63
Answer:
To maximize profit the company will have to produce 30 bicycles and 60 tricycles
Step-by-step explanation:
yes this is a linear programming program
let us represent bicycles as x
and tricycles as y
the objective function is
maximize
17x+21y=P
constraint
20m+30n=90
"At most twice as many tricycles as bicycles can be made in a day"
so n=2
let us find x when the company produces maximum y
so we have to substitute y=2 in the constraint
20m+30(2)=90
20m+60=90
divide through by 10 we have
2m+6=9
2m=9-6
2m=3
divide through by 2 we have
m=1.5
we can now see that at maximum
the company produces
tricycles=20m
tricycles=20(1.5)
tricycles= 30
and
bicycles= 30m
bicycles= 30(2)
bicycles= 60
now let us substitute x=30 and y =60 in the objective function we have
17(30)+21(60)=P
510+1260=P
P=$1770
V = 3.14 (16)(5)
V = 251.2
answer
251.2 cubic inches
42
1- 6+6+6+6+6+6+6
2-7+7+7+7+7+7
3- 7 TIMES 6
4- 6 TIMES 7
5-