Answer:
She should have about $150
Step-by-step explanation:
If you round all the numbers you get..
140-50-20+80
140-50-20=70
70+80=150
The vertical distance will be given by:
sin θ=opposite/hypotenuse
but
θ=6°
opposite=x
hypotenuse=120 ft
thus
sin 6=x/120
x=120 sin 6
x=12.54 ft
thus the hiker's change of position is 12.54 ft
Answer:
5338in³
Step-by-step explanation:
Volume of a cylinder = πr²h
r is the radius of the cylinder
h is the height
Given
radius = diameter/2 = 20/2
radius = 10in
Height = 17in
V = 3.14*(10)²(17)
V = 314 * 17
V = 5338n³
Hence the volume of the cylinder is 5338in³
Answer: The area of the shaded region is 27.74 centimeters squared
Step-by-step explanation: The diagram shows a two-in-one figure, a circle inscribed in a rectangle. The shaded region is the part of the rectangle not covered by the circle, hence we would have to subtract the area of the circle from that of the rectangle.
Area of Rectangle = L x W
Area of rectangle = 8 x 7
Area of rectangle = 56
Also,
Area of circle = Pi x r^2
Area of circle = 3.14 x 3^2
Area of circle = 3.14 x 9
Area of circle = 28.26
Area of shaded region is given as area of rectangle minus area of circle
Therefore, shaded region = 56 - 28.26
Area of shaded region = 27.74 centimeters squared