Answer:
a) 3/4
b) 3/4
c) 3/4
d) all are 3/4
Step-by-step explanation:
The slope of a line is defined as the change in y divided by the change in x. This is often referred to as "rise over run":
slope = Δy/Δx = "rise"/"run"
The triangles are drawn against the line so that you can use them to identify values of "rise" (vertical change) and "run" (horizontal change) between two points on the line.
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<h3>a)</h3>
The slope of the segment AC is found by dividing the "rise" (BC = 3) by the "run"(AB = 4)
slope of AC = BC/AB = 3/4
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<h3>b) </h3>
The slope of FH is similarly computed. Here, it is made a little more difficult, because you must estimate the value of GH.
slope of FH = GH/FG = 1.5/2 = 0.75 = 3/4
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<h3>c) </h3>
The slope of CE is ...
slope of CE = DE/CD = 6/8 = 3/4
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<h3>d)</h3>
The slopes in a), b), c) are all 3/4.
You can reasonably draw the conclusion that the slope of a line is the same everywhere. A line has constant slope.
The answer would be 11. Hope this helps :)
Answer:
1. 23.59 feet
2. 32.9°
Step-by-step explanation:
1. See the diagram attached.
The man is 11 feet distance from the bottom of the tree.
And the angle of elevation from the man to the top of the tree is 65°.
Now, we need to approximate the height of the tree,
Using the trigonometry, we can write
⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)
2. See the diagram attached.
From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.
And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.
Using trigonometry, we can write
⇒ 
(Answer)
Answer:
Option C
Step-by-step explanation:
Lets convert it into improper fraction.
Lets convert 
into a mixed fraction.
Rounding off 7.04 gives 7 and rounding 7 further gives 10.
So , the estimate of the product is 10
1) 4 times 4 = 16
2) 2 times 2 times 9 = 36
3) 4 times 2 times 9 = 72
4) x + y + z = n
(any solution that is true)
