Answer:
8/17
Step-by-step explanation:
The correct and complete question is:
<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>
From definition:
tan(Y) = opposite/adjacent
From the graph and the question:
tan(Y) = XZ/XY = 8/15
Then:
XZ = 8 and XY = 15. Using pytaghorean theorem:
XZ² + XY² = YZ²
8² + 15² = YZ²
√289 = YZ
17 = YZ
From definition:
sin(Y) = opposite/hypotenuse
From the graph:
sin(Y) = XZ/YZ
sin(Y)= 8/17
Answer: x=3/2
Step-by-step explanation:
Multiply the parentheses by 2/3. 9=2/3x+8.
Multiply both sides by 3 . 27=2x+24
Move the term. When moved to the left side it changes from positive to a negative. -2x=24-27.
-2x=-3
Divide both sides by -2
x=3/2 (x=1 1/2, x=1.5)
You do 27 divided by 90 27/90=0.3 and then move the decimal two places which would give you 30%
The system of inequalities is: 
and 
<em><u>Explanation</u></em>
Let 
be the amount of live bait and 
be the amount of natural bait.
As John would like to get at least 3 pounds of live bait, so the first inequality will be:
Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63
So, the cost for buying pound of live bait 
and the cost for buying pound of natural bait 
Thus, the second inequality will be:
X^2 = 16
x = 4
x = -4
good luck :)
