Answer:
(1,1)
Step-by-step explanation:
2 units down should bring you to (-1,1)
A 270 degree counterclockwise rotation is 3 turns so you turn the point 3 times and it should end up on point (1,1)
Given that the house representation is given by 1/44"=1', then the house who dimension is 1.5" by 2.25" has an actual length of:
(2.25)/(1/4)*1
=2.25*4
=9'
and actual width of:
(1.5)/(1/4)*1
=1.5*4
=6'
therefore the size of the room will be:
Area=length*width
=9*6
=36 square inches
Answer:
5:4 is the simplified ratio while the actual ratio is 30:24
Step-by-step explanation:
Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)
From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:
Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)
=2/4=1/2
The area of the central rectangle = 5 * 3 = 15 ins^2
area of each triangle = 1/2*3*3 = 4.6 ins^2
Total area = 2*4.5 + 15 = 24 ins^2 (answer)
