The side opposite the 30o angle is 1/2 W. That is just a property of a 30 - 60 - 90 triangle. Use that fact to set up the pythagorean relationship.
w^2 = (1/2 w)^2 + (7 * sqrt(3)) ^2
w^2 = 1/4 w^2 + 49*3
w^2 = 1/4 w^2 + 147
3/4 w^2 = 147
w^2 = 147 * 4/3
w^2 = 49 * 4 = 196
w = sqrt (196)
w = 14
Answer:
b = 16
Step-by-step explanation:
× stands for varies
a × √bc,
a = k√bc,
when a = 24, b = 8, c= 2
a = k√bc
24 = k√8•2
24 = k√16
24 = 4k
dividing both sides by 4
k = 24/4
k = 6
a = 6√bc (standard equation)
find b when a = 48 and c = 4
a = 6√bc
48 = 6√b•4
dividing both sides by 6
48/6 = √b•4
8 = √b•4
squaring both sides
8^2 = b•4
64 = b•4
b = 64/4
b= 16.
Thrrefore when a = 48, c = 4, b = 16.
Answer:
12 Pieces
Step-by-step explanation:
Number of candies in Jane's bag = x
she gives 8 to her friend;
x - 8
Then jane's grandmother buys 5 more pieces than jane had originally; add (x + 5)
x - 8 + x + 5
Now jane has 27 pieces of candy
x - 8 + x + 5 = 27
Solve for x;
x - 8 + x + 5 = 27
2x - 3 = 27
2x = 27 -3
2x = 24
x = 12
