Answer:
1.98
Step-by-step explanation:
Use SOH-CAH-TOA:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Here, we're given the hypotenuse is 4.5, and we want to find the side opposite of the 26° angle. So we should use sine.
sin 26° = x / 4.5
0.44 = x / 4.5
x = 1.98
Answer:
7/15x - 9
Step-by-step explanation:
(4/5x - 5) - (1/3x + 4)
remove the parentheses
4/5x - 5 - 1/3x - 4
simplify each variable
4/5x - 9 - 1/3x
7/15x - 9
With the information provided in the problem, we can create a right triangle with the ramp as its hypotenuse, and the vertical rise as its opposite side from its angle of elevation.
Let

be the angle of elevation from the car to the end of the ramp. We now know that the hypotenuse of our triangle measures 445 feet, and the opposite side measures 80 feet, so we need a trig function that relates our angle of elevation with the hypotenuse and the opposite side. That function is sine:



We can conclude that the angle of elevation from the car to the end of the ramp is 10.36°.
Answer:
Step-by-step explanation:
Average is the sum of the items in a data divided by the number of items in the data. The role of average is to determine a representative value for the given set of data. What average refers to in statistics is the arithmetic mean. There are other types of mean as well. Therefore, what we are referring to in this scenario is the arithmetic mean. Therefore, another term should not be used in place of average. Therefore, the correct option is
C. The term average is often used in statistics to represent the mean.
Answer:
3
Step-by-step explanation:
13-4=9
9/3=3