Answer:
y = 0.6x
Step-by-step explanation:
Slope Formula:
Slope-Intercept Form: y = mx + b
Step 1: Find slope <em>m</em>
m = (1.2 - 0)/(2 - 0)
m = 1.2/2
m = 0.6
y = 0.6x
Step 2: Find y-intercept <em>b</em>
(0, 0) is y-int
Equation is y = 0.6x
Step 3: Graph
Use point (-5, -3) and (0, 0) to graph
First isolate the group with h in it
minus 2pir^2 from both sides
s-2pir^2=2pirh
divide both sides by 2pir
(s-2pir^2)/(2pir)=h
Answer:
Step-by-step explanation:
(7/12) of 840 attended the concert:
(7/12)*(840) = 490 students attended the Spring Concert.
(840 - 490) = 350 did not attend
(350/840) is the fraction of students who did not attend. This can be reduced to (35/84)
(350/840) = 0.4167 or 41.67% did not attend.
Answer: The length of the bottom left side is 14.
To find the length of this side, we need to know the relationship between the different sections when chords cross each other.
The relationship is that if you multiply the 2 parts of each chord together, it will equal the product of the two sides in the other chord.
Our equation can be written as:
7(8) = 4(x)
56 = 4x
14 = x
Initial: 200 feet = opp. side
Angle = 17.31, adj. Side = a
So tan (17.31) = opp. Side / adj. Side
tan (17.31) = 200 / a
--> a = 200/tan17.31 = 641.73
When stopped: adj. Still = a
Opp. Side still = 200, angle = 46.41
tan46.41 = 200 / a
--> a = 200/tan46.41 = 190.39
Now subtract those two distances to get the distance traveled from initial to when it stopped:
641.73 - 190.39 = 451.34 feet