In the proportional theory,
28 units is the total measurement that includes 8 units.
So, 10 + 3x - 5 is the total measurement that includes 10 units proportionally.
This means,
28 = 10 + 3x - 5
Now solve for x,
28 = 10 + 3x - 5
28 - 10 = 3x - 5
18 + 5 = 3x
23 = 3x
23 / 3 = x
So x = 23/3 or 7.6666....
B and C are both correct
t(s) is equivalent to the temperature of the tea after s amount of seconds
Answer: D (5/2, -17/4)
Step-by-step explanation: Using elimination your goal is to get rid or 1 variable so you can solve for the one that's left. By adding the -2y and 2y you will get 0. You will also add the 3x+x (4x) and -1+11 (10). You have now gotten rid of the y and have 4x=10. By dividing each side by 4 we now know x =2.5. D is the only possible solution with x=2.5 (5/2) but to solve for y you plug 2.5 in to an equation as x so) x-2y=11
2.5-2y=11
-2y=8.5 Answer D (5/2,-17/4) y=-17/4 (4.25)
Height covered by the plane=h= 500 feet
Distance covered by the plane along the ground=d= 2 mile
Now, convert the mile into feet,
1 mile = 5280 feet
2 mile = 10560 feet
Now, use the formula
h= d tanθ
tanθ= h/d
tanθ= 500/10560
tanθ= 25/528
Take the tan⁻¹ on both side,
θ= tan⁻¹(25/528)
θ =2.71°
2 to the power of 6 or 4 to the power of 3
