If you sketch the triangle, you need to understand that 12 is the length of opposite side (opposite to theta). Then the longest side is 13 is the hypotenuse. The other side with length 5 is the adjacent side. Thus from the definition of sin(theta)=opposite side/hypotenuse=12/13. A question for you, what is cos(theta)? cos(theta)=5/15 and tan(theta)=12/5
Answer:
She should earn $540 in a 40 hour week
Step-by-step explanation:
we know that
Her pay for 22 hours is $297
so
using proportion
Find out how much should she earn in a 40 hours week

Answer:
Length = 3.84 feets (nearest hundredth)
Step-by-step explanation:
The length of section of wire can be obtyaiejd using the length of of a arc formular :
Length of arc = θ/360° * 2πr
Radius, r = 2.5 feets
Length of arc = (88/360) *2πr
Length of arc = (88/360) * 2π*2.5
Length of arc = 0.244444 * 15.707963
Length of arc = 3.8397
Length = 3.84 feets (nearest hundredth)
Answer: OPTION B
Step-by-step explanation:
The equation of a line that passes through the origin is the following:

Where "m" is the slope of the line.
By definition, Proportional relationships have the following form:

Where "k" is the Constant of proportionality.
Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.
Therefore, based on the explained above, you can conclude that the option that shows a function that represents a Proportional relationship is the Option B.
Then, this is:

3/4 or 0.75 or just 75%. doesn't get much simpler