Answer:
y=0.5x+8
Step-by-step explanation:
Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.
To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):
We can take two points from the graph: (2,9) (4,10)
m=(y₂-y₁)/(x₂-x₁)
m=(10-9)/(4-2)
m=1/2 or 0.5
Now sub this value in for m and our formula looks like this:
y=0.5x+c
To find the value of c, sub in one of the points, eg. (4,10)
y=0.5x+c
10=0.5(4)+c
10=2+c
c=8
So now that we now m and c, our equation is complete :D
y=0.5x+8
<span>In triangle WXZ,
Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)
Now, in any triangle, the sum of all the three angles is 180.
In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°
Similarly, in WZY.
Hence, we conclude that XWZ is a right angle.
Yes, it is. Even 0. 1x0=0
Answer:
75
Step-by-step explanation:
48% of snowstorms caused power outages, which means 52% did not.
Therefore, 39 is 52% of all snowstorms.
39 = 0.52x
x = 75
There were 75 snowstorms over the 5-year period.
Answer:
Given: Diameter of cone = 38 feet and height of cone = 14 feet.
Volume of cone V with radius r is one-third the area of the base B times the height h.
i,e
=
......[1]
,where B = 
First find the radius(r);
Using Diameter(D) = 2r
38 =2r
Divide both side by 2 we get;

Simplify:
19 = r
or r =19 feet
Now, substitute the value of r = 19 feet and h = 14 feet in [1] [ Use value of
]
then, we have:

or
V = 
or
V =
≈ 5,294.67 cubic feet.
therefore, the volume of pile is; ≈ 5,294.67 cubic feet.