Answer:
c =9.7 cm
Step-by-step explanation:
Law of sines:
sin (82) / c = sin(55) / 8
0.9903 / c = 0.8192 / 8
c = 0.9903 * 8 / 0.8192
c =9.7 cm
To check, we can solve how much sunscreen is in a family sized bottle first. We need to find what is 20% of 12. First, turn 20% into a decimal: 20%/100= 0.2. Now, multiply 0.2 by 12, which is 2.4. Then, you add this to 12 because it is 20% more. 12+2.4= 14.4. Multiply this by 4: 14.4*4=57.6. Since his number is close to 50, he is kinda correct, but a much more reasonable answer would be closer to 60. Hope this helped!
You can use elimination process to solve for this.
5x+2y=48
-3x+2y=32
---------------
2x=16
x=8
an adult ticket costs C.$8
Answer:
C(x) = 8*x + 8* (1000)/x + 80
C(x) Domain x > 0
Step-by-step explanation:
enclosed area 1000 ft²
let x be side perpendicular to the river
and y parallel to the river
Then:
A = x*y y = A / x y = 1000/x
Cost of one side (x) 4*x $ then two sides cost = 4*2*x cost = 8*x
Cost of one side (y) 8*y $ 8* (1000/x)
Cost of four cornes posts 4*20 = 80 $
Total cost C(x)
C(x) = 8*x + 8* (1000)/x + 80
R { x > 0}
Taking derivatives both sides of the equation
C´(x) = 8 - 8000/x² C´(x) = 0 8 - 8000/x² = 0
8x² -8000 = 0 x² = 1000
x = 100
