Answer:
Step-by-step explanation:
2/sin25=AB/sin90
AB=4.73
Answer:
Part A. At least 6 hours
Part B. In less than 2.5 hours Elijah will be behind Mercedes
Part C. In more than 2.5 hours Elijah will be ahead Aubrey
Step-by-step explanation:
D = distance
v =speed
t = time
Formula connecting D, v and t:

Part A.
Steve's speed: 
Distance: at least 21 miles
Time: unknown, so
![3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6](https://tex.z-dn.net/?f=3.5%5Ccdot%20t%5Cge%2021%5C%5C%20%5C%5C35t%5Cge%20210%5C%20%5B%5Ctext%7BMultiplied%20by%2010%7D%5D%5C%5C%20%5C%5Ct%5Cge%20%5Cdfrac%7B210%7D%7B35%7D%5C%5C%20%5C%5Ct%5Cge%20%5Cdfrac%7B30%7D%7B5%7D%5C%5C%20%5C%5Ct%5Cge%206)
It would take Steve at least 6 hours to walk at least 21 mi on Day 1.
Part B.
Mercedes's speed: 
Elijan's speed: 
Elijan's Distance walked:
miles
Mercedes's Distance walked:
miles
Time: x hours
Mercedes is 2 miles ahead, so

Elijan will be behind when

In 2.5 hours Elijan will catch up Mercedes, and in less than 2.5 hours Elijah will be behind Mercedes.
Part C.
Aubrey's speed: 
Elijan's speed: 
Elijan's Distance walked:
miles
Aubrey's Distance walked:
miles
Time: x hours
At the beginning of Day 3, Elijah starts walking at the marker for Mile 42, and Aubrey starts walking at the marker for Mile 42.5.

Elijan will be ahead of Aubrey when
![D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours](https://tex.z-dn.net/?f=D_E%3ED_A%5C%5C%20%5C%5C42%2B3.2x%3E%2042.5%2B3x%5C%5C%20%5C%5C3.2x-3x%3E42.5-42%5C%5C%20%5C%5C0.2x%3E0.5%5C%5C%20%5C%5C2x%3E5%5C%20%5B%5Ctext%7BMultiplied%20by%2010%7D%5D%5C%5C%20%5C%5Cx%3E%5Cdfrac%7B5%7D%7B2%7D%5C%5C%20%5C%5Cx%3E2.5%5C%20hours)
In 2.5 hours Elijan will catch up Aubrey, and in more than 2.5 hours Elijah will be ahead Aubrey.
Answer:
Part A: Linear relationship
Part B: Using the dividing method
Slope = -3.325
y-intercept is (0, 88.5)
Step-by-step explanation:
Part A
The is an approximately linear relationship between the temperature of his city and the number of chocolate sold
Part B
The line of best fit can be drawn by
1) Plot the data points on the graph
2) Divide the number of data points into two with a vertical dotted line
3) Mark the center of the data on each side of the dividing central line with an a or x
4) Draw a straight line through the x marks that extends to the plot edges
5) The straight line drawn is the line of best fit
The approximate slope is found from points (0, 90) and (20, 20) using the formula for gradient, m, such that we have;

Where:
y₁ = 88
x₁ = 0
y₂ = 22
x₂ = 20
Therefore;

From the graph, the y-intercept is approximately (0, 88.5) while the x intercept is approximately (26.5, 0)
So, this sum divided by 4 was 189.5... then if we multiply this number by 4, we will get this sum!
189.5*4=758
which is the sum of two consecutive even numbers, x and x+2,
x+x+2=758
2x+2=758
2x=756
x=378
and the other number is 380!!
The names of the vertices (or corners) are the letters next to them. However you may need to write the plot points, so you would look at the left side or the y axis and count where the dot is as a number. Lets say its D. D is 4 on the y axis. Then you would go straight down to find the x axis. It is right over three. than you would write it with the x axis ALWAYS first. So D is (3,4).
Hope it helped