Answer:
The waste Suzanne is going to have is around 7.726.
8 if looking for nearest square foot.
Step-by-step explanation:
Area for a square - x*x (length times length)
Area for a circle - r^2*pi
Find the area of the circle first, which plug in r as 3.
3^2*pi
9pi
≈28.27433
Notice for a circle inside a square, the length of the square is the diameter of the circle.
By knowing 2r=diameter, we know the length of the square is 6
substitute x as 6.
6*6=36
Find the waste= Area of square - Area of circle
36-28.27433
≈7.726
The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.
The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have 
. Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w. 
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!
Answer:
x=9.79
Step-by-step explanation:
firstly find the hypotenuse of the first triangle
sin45=12/h
sin45h/sin45=12/sin 45
h=16.9
after finding the hypotenuse you can then use it to find x by using tan
tan60=16.9/x
tan60x/tan60=16.9/tan60
x=9.79
I hope this helps!!
Answer:
The phase shift:
1 unit to the right and 1 unit up
Step-by-step explanation:
∵ y = 1 + sin2(x - 1)
∴ y = 1 + sin(2x - 2)
∵ y = Sin(Bx - C) + D
∵ The vertical shift is D
∴ The horizontal shift is -C/B
∴ The vertical shift is 1 unit up
∴ The horizontal shift is --2/2 = 1 ⇒ 1 unite to the right
Answer:
100
Step-by-step explanation:
20/2= 10 and 10 squared is 100 but you have to move the -6 to the opposite side
