Answer:
-3
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Subtract the shoe cost from the total cost.
14.50 - 2 = 12.50
Divide the cost per game by the total minus the shoe cost
12.50 ÷ 2.50 = 5
Answer: You bowled 5 games.
Answer:
Non-linear: red graph, table 3, table 1
Linear: blue graph, green graph, table 2
Step-by-step explanation:
The blue and green lines are straight lines, so they are linear. The red line is curved, so that is nonlinear.
I plotted out the data from each table on a graph. Tables 1 and 3 both curve when the points are connected, and table 2’s points form a straight line when connected. I am sure there is a mathematical formula to use on these tables, so the drawing wouldn’t have been required. But I knew this would at least get the answers.
Hope it helped.
Since both α and β are in the first quadrant, we know each of cos(α), sin(α), cos(β), and sin(β) are positive. So when we invoke the Pythagorean identity,
sin²(x) + cos²(x) = 1
we always take the positive square root when solving for either sin(x) or cos(x).
Given that cos(α) = √11/7 and sin(β) = √11/4, we find
sin(α) = √(1 - cos²(α)) = √38/7
cos(β) = √(1 - sin²(β)) = √5/4
Now, recall the sum identity for cosine,
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
It follows that
cos(α + β) = √11/7 × √5/4 - √38/7 × √11/4 = (√55 - √418)/28