F=9/5c+32
-31=9/5c+32
-63=9/5c
-35=c
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
0
, 1
)
Equation Form:
x
=
0
, y
=
1
Step-by-step explanation:
Graph.
y
=
−
5/
2
x
−
1
y
=
3
x
−
1
y
=
2/
5
x
+
1
y
=
5/
3
x
+
1
Given:
Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
Mountain B to helicopter = 43 degrees
Mountain B to Mountain A = 19 degrees
First, draw an illustration and label the enumerated given values.
Observe that there are two right triangles formed:
From the triangle formed by the helicopter and Mountain B,
let x = total height of mountain B
y = leg of first triangle (helicopter and mountain b)
h = hypotenuse
Use the Pythagorean Theorem:
cos (43) = y / h
From the second triangle formed by mountain b and a,
cos (19) = (1000 + y) / h
solve for h and y
then, solve for the height of Mountain B:
x = 1000 + y + 5210
The shape is a square pyramid, meaning it has one square face and four triangle faces of equal area. Add these areas together to get the total surface area.
Area of Square + 4*Area of Triangle = SA
Area of Square:
2^2=4
Area of Triangle:
0.5*2*3=3
SA=4+4*3
SA=16 meters squared
Answer : 2ab^3+4a^2b-5ab+5
