Answer:
(5,2)
Step-by-step explanation:
Answer (5,2)
N(2)
W E(5)
S
Answer:
(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Step-by-step explanation:
The lateral faces of the building are the 4 sides of the building consisting:
2 rectangles of 120 ft by 80 ft
Area of the two rectangular faces = (2)(120)(80)
And
2 rectangles of 120 ft by 50 ft
Area of the two rectangular faces = (2)(120)(50)
✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)
Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.
Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building
Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)
✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Scientific notation:
5.0209003 x 10^4
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( 
)sin (
)
sin x - sin y = 2cos ( )sin ( )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos( )sin( ) ]²
= 4sin² ( )sin² ( ) + 4cos² ( )sin² ( )
= 4sin² ( )[ sin² ( ) + cos² ( ) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven
Amy(A): D + 12
Doug(D):D
Ginger(G):2D
SumOfAll(S)=208 : Total points / sum of all three friends
(D+12)+D+2D=208
D+12+3D=208 - transpose 12 to the right side
4D=208-12
4D = 196 - divide both sides by 4
D=49
Therefore, Doug scored 49
