Answer:
tanΘ = - 
Step-by-step explanation:
Using the trigonometric identities
• sin²x + cos²x = 1, hence
cosx = ± √(1 - sin²x )
• tanx = 
given sinΘ = 
, then
cosΘ = ± 
Since Θ is in the second quadrant where cosΘ < 0, then
cosΘ = - 
= - 
= - 
tanΘ = 
= × - 
= -
Answer:
Step 1: Calculate the change by subtracting old cost ($50) from the new cost ($64)
Step 2: Divide that change by the old cost ($50). You will get a decimal number
Step 3: Convert the decimal number to a percentage by multiplying by 100%
Step-by-step explanation:
Try this first
Answer:
The third option: "A coordinate plane with a line passing through (0, negative 4) and (2, 0)."
Step-by-step explanation:
Use the equation defined by the function: y = 2x - 4 to check the (x, y) values they give you. If they both render true mathematical statements, those are indeed points on the plane that belong to the given line.
For the third case; the pairs (0,-4) and (2,0), both satisfy the equation of the line that is given.
For (0,-4): y = 2x - 4 becomes:
which is a TRUE statement
For (2,0): y = 2x - 4 becomes:
which is also a TRUE statement.
This option is the only one that verifies both given points as truly being part of the given line.
Answer: B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
Step-by-step explanation:
Here are the options:
A There are more boys at Mark's school than at Leslie's school because the ratio 11 to 12 is greater than the ratio 41 to 48.
B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
C. There are more boys at Leslie's school than at Mark's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
At leslie's school the ratio of boys and girls is 11 to 12. This implies that the fraction of boys in the school to total students will be:
= 11/(11 + 12) = 11/23 = 0.4783
At Marks school the ratio of boys to girls is 41 to 48. Thus implies that the fraction of boys in the school to total students will be:
= 41 / (41 + 48) = 41/85= 0.4824
Based on the calculation, we can deduce that there are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
Answer:
Linear
Step-by-step explanation:
Find the degree of the equation to determine if linear.
