9514 1404 393
Answer:
a) <8.356, 9.959>
b) <-0.605, -1.663>
c) <-5.023, 2.9>
Step-by-step explanation:
Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)
If you want to do these calculations by hand, the conversion is ...
<r, θ> ⇒ <r·cos(θ), r·sin(θ)>
In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.
Answer:
8 feet
Step-by-step explanation:
it actually will be 8 feet
Answer:
≈ 108 m³
Step-by-step explanation:
You're searching for the volume of a cylinder. The formula needed to find it is V=πr²h.
In this case, the radius r is 1.4m and the height h is 35/2=17.5m, as it is only half filled.
Now when inserting values, you get: V=π*1.4²*17.5 which is 107.757 m³
Answer:
(a) minor arc: arc VX
major arc: arc VYX
(b) 248 degrees
(c) Tangent: UV
Secant: UY
Step-by-step explanation:
(b) 360 - 112 = 248
(c) UV crosses on the circumference of the circle at exactly one point
UY crosses through the circle at exactly two points
