Frequency of a wave =
(speed of the wave) divided by (wavelength)
or
(1) divided by (period of the wave) .
Period of the wave =
(wavelength) divided by (speed of the wave)
or
(1) divided by (frequency of the wave) .
Explanation:
Length of house, l = 54 ft = 16.45 m
Breadth of house, b = 48 ft = 14.63 m
Height of house, h = 8 ft = 2.43 m
We need to find the volume of the interior of the house. The house is in the form of cuboid. The volume of cuboid is given by :
Since, 
or the volume of the interior of the house, 
Hence, this is the required solution.
You can just use basic
trigonometry to solve for the x & y components.
<span>vector a = 10cos(30) i +
10sin(30) j = <5sqrt(3), 5></span>
vector b is only slightly harder because the angle is relative
to vector a, and not the positive x-axis. Anyway, this just makes vector b with
an angle of 135deg to the positive x-axis.
<span>vector b = 10cos(135) i +
10sin(135) j = <-5sqrt(2), 5sqrt(2)></span>
So
now we can do the questions:
r = a + b
r = <5sqrt(3)-5sqrt(2), 5+5sqrt(2)>
(a)
5sqrt(3)-5sqrt(2)
(b)
5+5sqrt(2)
(c)
|r|
= sqrt( (5sqrt(3)-5sqrt(2))2 + (5+5sqrt(2))2 )
=
12.175
(d)
θ = tan-1 (
(5+5sqrt(2)) / (5sqrt(3)-5sqrt(2)) )
θ
= 82.5deg
<span> </span>
I, i’m pretty sure sorry if it’s wrong
