There are no numbers for this, thus you will have to use the quadratic formula.
Answer:
Step-by-step explanation:
A right angle triangle is formed.
The length of the guy wire represents the hypotenuse of the right angle triangle.
The height of the antenna represents the opposite side of the right angle triangle.
The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
41² = 32.8² + h²
1681 = 1075.84 + h²
h² = 1681 - 1075.84 = 605.16
h = √605.16
h = 24.6 m
To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 24.6/41 = 0.6
θ = Cos^-1(0.6)
θ = 53.1°
Answer:
D. She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.
Step-by-step explanation:
Find the rate of change between first two ordered pairs and the second two ordered pairs:
1. Points (2,4) and (3,9). Rate of change:
2. Points (3,9) and (4,16). Rate of change:
The rate of change for the linear function must the same for each two points on the graph of the function. In this case, the reate of change differs, so this function is not linear and correct option is D.
Answer:
The dependent variable is m
Step-by-step explanation:
A dependent variable is dependent on an independent variable. This variable is dependent on other variable that are measured . The dependent variable are expected to change as a result of the manipulation of the independent variables. Usually as the experiments changes the independent variable the dependent variable are observed and noted.
The independent variable is unaffected by the other variable you are measuring. The independent variable represent a quantity that is been manipulated in an experiment.
According to the question Jenny works as a server at Jefferson restaurant . The more table she is assigned to serve the more money she earns during a shift.
The independent variable is the number of table Jenny served because this is what she has control over.
The dependent variable is the amount of money Jenny earns because the amount of money she earns is dependent on the number of tables she served . Therefore the dependent variable is m
Answer:
Shannon run 1.5 km more on Friday than on Saturday.
Step-by-step explanation:
From the given table
- Distance run on Friday = 4/2 = 2 km
- Distance run on Saturday = 1/2 = 0.5 km
- In order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.
i.e.
Friday run - Saturday run = 2 - 0.5
= 1.5 km
Thus, Shannon run 1.5 km more on Friday than on Saturday.
