Answer:
2/3
Step-by-step explanation:
The largest number with a given numerator is the one with the smallest denominator.
Of 1/4, 1/3, 1/5, the largest is 1/3.
Of 2/4, 2/3, the largest is 2/3.
Since 1/3 and 2/3 have the same denominator, the largest is the one with the largest numerator: 2/3.
Answer:
Reference angle:
is not defined.
Step-by-step explanation:
The angle
goes from the positive x-axis to the negative y-axis.
Therefore the reference angle can be calculated as following:

We know that
is:

If
then
, therefore
is not defined, because the division by 0 is not defined.
Answer: d. mutually exclusive
Step-by-step explanation:
Mutually exclusive events are those events that cannot happen at the same time. If one event happens, the other has a zero chance of happening at the same time.
Event A and Event B here are Mutually Exclusive because you cannot turn left and right at the same time. If you listen to your brother and turn left, you cannot also listen to your sister and turn right at the same time.
The area is 128
multiply the base by the height, and then divide by 2.
the base is 16 and the height is also 16 so 16x16 is 256 divided by 2 is 128
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches