Answer:
Answer:
A 1,3,10.
Step-by-step explanation
3, 4, 10. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.
X + 1
Combine like terms, so terms with x go together and terms without an x go together
So 2x - x = x
3 - 2 = 1
That's as simplified as it can be
Answer:
angle of refraction at first surface is 22.74°
Step-by-step explanation:
Given data
thickness = 1.50 cm
n = 1.52
angle = 36.0°
to find out
angle of refraction at first surface
solution
we will apply here Snells law that is
n1 sinθ1 = n2 sinθ2
θ2 = sin^-1 ( n1/n2) sin θ1
here n1 is 1 and n2 is 1.52 and θ1 = 36.0°
θ2 = sin^-1 ( n1/n2) sin θ1
θ2 = sin^-1 ( 1 / 1.52 ) sin36
θ2 = 22.74°
angle of refraction at first surface is 22.74°
Answer:
Perpendicular bisector
Step-by-step explanation:
The construction is of a perpendicular bisector, because the line in bisected and the angle formed by the bisector is a right angle.
1) For number 1, you want to find the area of the square and the circle, then subtract: Area of square - area of circle. That will give you the area of the shaded region.
Area of square: 8² = 64, Area of circle: π4² = 50.27
64 - 50.27 = 13.73 ft²2)
For number 2, subtract the area of the rectangle by the area of the traingle.
Area of rectangle: (10)(6) = 60, Area of triangle:
= 21
60 - 21 = 39 in²3) For number 3, you could either find the entire rectangle and the empty space, and subtract the rectangle by the empty space, or cut the rectangle into sections and find each of the sections, then add them up. I'm going to find the entire rectangle then subtract it by the empty space. I think the problem is set up to be easier that way.
Area of rectangle: (12)(8) = 96, Area of empty space: (4)(4) = 16
96 - 16 = 80 in²
4) Find the area of the rectangle and the area of the semicircle. Subtract the rectangle by the semicircle.
Area of rectangle: (13)(6) = 78, Area of semicircle: π3² / 2 = 14.14
78 - 14.14 = 63.86 yd²