Answer: y ≈ 10.6 cm
Step-by-step explanation:
The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.
cos(20°) = (10 cm)/y
y = (10 cm)/cos(20°)
y ≈ 10.6 cm
Answer: 10
Step-by-step explanation:
Vieta's formulas :
5 - 3i + 5 + 3i = b ⇒ b =10
Now, we have the equation:
x² -10x + 34 = 0
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Given:$7/child
$10/adult
Total people = 700
Total money = $6,400
First, make two equations.
Let a = # of adults & Let c = # of children.
Let p = total people
1. a+c = 700
2. 10a+7c = 6,400
Then, rearrange the equation to solve for a variable.
c = 700-a
Substitute (700-a) for c, or the # of children in the second equation.
10a+(700-a) = 6400
9a+700 = 6400
9a+700-700 = 6400-700
9a = 5700
9a/9 = 5700/9
a = 633
= # of adults attended700-633

= c =
66
= # of children attended
The scale factor is 3 as the lengths in the bigger triangle when divided by 3 gives the lengths in the smaller triangle
60*80-10*16 if it's regular area and not surface area