Answer:
x = 35/22
y = 3/22
Step-by-step explanation:
y= 2/5x-1/2 ................(1)
y=-1/3x+2/3 ...............(2)
10*(1)
10y = 4x -5 ...................(1A)
3*(2)
3y = -x +2 ....................(2A)
To find intersection, solve for y & x
4(2A) + (1A)
12y+10y = -4x+4x +8-5
22y = 3
y = 3/22
Substitute in (1)
3/22 = 2/5x -1/2
multiply by 110
15 = 44x - 55
70 = 44x
x = 70/44 = 35/22
Answer:
a: 18pi
b: 3pi
Step-by-step explanation:
part a:
total area = 12^2*pi = 144pi
144pi/8 = 18pi
part b:
total circumference = 12*2*pi = 24pi
24pi/8 = 3pi
Answer:
Step-by-step explanation:
Tri WYV is a right triangle
WYV ~ SVU Reflective property
Angle YVW = Right angle, Right Triangle property
SVY ~ WVU by reflective property
VW = VU by perpendicular property
Answer:
3.08 x 10^-3
Step-by-step explanation:
when putting into scientific notation, you must make it to where there is one number to the left of the decimal. If you move the decimal left, it equals a negative power, if you move it right, it equals a positive power.
Answer:
The distance between the cruise ship and the sail boat is 517 feet.
Step-by-step explanation:
The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is
236 feet - 27 feet = 209 feet.
We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.
Now from trigonometry we get:
The distance between the cruise ship and the sailboat is 517 feet.
