Answer:
D
Step-by-step explanation:
IM RLY SORRY IF THIS IS WRONG IM DOING THIS FORM MEMORY
so I'm pretty sure u the arch equals twice the angle
so pi/2*2 = pi so D
hope it helppsss
trying not to dieT-T
The side is (2x+3)? then the area is:
(2x+3)(2x+3) = 4 x^2 + 12 x + 9 if x = 6 then
Area = 4(36)+12(6)+9
= 144 + 72 + 9
= 225, too big :(
Answer:
90 : 1
Step-by-step explanation:
1 yard = 36 inches
5 yards = 36×5 = 180 inches
180 : 2
90 : 1
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.
We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II
We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)
We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III
Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml
Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml
Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
