-8n where n > 0 and whole number (-8n/8=-n)
-8*1=-8
-8*8=-64
-8*9=-72
Answer:
-8, -64, -72
Answer:
Exact Form:
73 over 2
Decimal Form:
36.5
Mixed Number Form:
36 1 over 2
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Y=x².
This is te function of a parabola open upward
the domain is all values of x ={x/x∈z}
Answer:
as below
Step-by-step explanation:
to find the height of the pole recall the relationship of sin cos and tan to the triangle with this helpful mnemonic SOH CAH TOA
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Opp / Adj
we will need to solve two triangles and subtract them.
one is the 15° one of the slope of the road and the other is the 57° one that is the angle of the sun. sooooo,
lets solve the 15° one first. We are told that the adj side is 75'
since we know the angle and the adj side and we want to find the Opp side let's use Tan b/c it has all of those in it :)
Tan(15) = Opp / 75
75*Tan(15) = Opp ( I'll put my calculator to work for this )
20.096 = Opp
that's the height of the road to the bottom of the flag pole along that flag pole axis into the ground
next lets solve the 57° triangle in the exact same way
Tan(57) =Opp / 75
75*Tan(57) = Opp
115.4898 = Opp
the tall triangle is the one that goes all the way into the ground, the small one is the one that is under the ground
so subtract the small one from the big one to find the height of the flag pole above the ground
115.4898-20.096 = 95.3938
so the flag pole is about 95.4 feet tall
:o that's pretty tall :
Height of the kite is = 36 inches.
Width of the kite is = 30 inches
One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .
Now we will use the formula 
to find the area of each triangle. Then we will add both the areas to find the area of the kite.
Area of 1 triangle = 
= 270 square inches
Area of the 2nd triangle is also = 270 square inches
Hence, area of the kite = 270+270 = 540 square inches
