Answer:
False
True
False
False
Step-by-step explanation:
1. We have to get the sum as follows :
= 
= 
= 
= 
So, this is false.
2. We have to get the sum as follows :
= 
= 
= 
= 
So, this is true.
3. We have to get the difference as follows :
= 
= 
= 
= 
So, this is false.
4. We have to get the difference as follows :
= 
= 
= 
= 
So, this is also false. (Answer)
Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm
Isolate the x. Root both sides
√x²< √81
x < 9 is your answer
hope this helps
To calculate the cuboid's volume, use height×width×length which is 11×11×16
For the cylinder's volume, use πr²h. in this case, it is 3.14×4²×9
Add up the two answers you get and that's the solution
Answer:
b/c
Step-by-step explanation:
Sin B = opposite side/ hypotenuse = AC/AB
