A = 1/2(8+4)(3)
A = 6 * 3
A = 18
answer
<span>18 square yards</span>
Number of students that chose art = 100-(22+26) = 100- 48 = 52
so percentage of students who chose art = 52%
The first thing you should know to answer this question is the following conversions:
1Km = 1000m
1m = 1000mm
1Km = 1000000mm
1m = 100cm
By making the conversions to the same unit, we can know what measure is greater:
1.2Km = 1200m
120600cm = 1206.00m
1220000mm = 1220m
120m = 120m
Answer
The biggest measure is
1220000mm = 1220m
Answer:
A Pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm and 96 cm but does not resonate at any wavelengths longer than these. This pipe is:
A. closed at both ends
B. open at one end and closed at one end
C. open at both ends.
D. we cannot tell because we do not know the frequency of the sound.
The right choice is:
B. open at one end and closed at one end
.
Step-by-step explanation:
Given:
Length of the pipe,
= 120 cm
Its wavelength
= 480 cm
= 160 cm and
= 96 cm
We have to find whether the pipe is open,closed or open-closed or none.
Note:
- The fundamental wavelength of a pipe which is open at both ends is 2L.
- The fundamental wavelength of a pipe which is closed at one end and open at another end is 4L.
So,
The fundamental wavelength:
⇒ 
It seems that the pipe is open at one end and closed at one end.
Now lets check with the subsequent wavelengths.
For one side open and one side closed pipe:
An odd-integer number of quarter wavelength have to fit into the tube of length L.
⇒
⇒ 
⇒
⇒ 
⇒
⇒ 
⇒
⇒
So the pipe is open at one end and closed at one end
.
Answer:

Step-by-step explanation:
We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)
We have to find the angle by which the tower now deviate from the vertical
We find cross product of <1,2,0> and <0,2,1>


Now, we are finding the angle between
and vertical vector <0,0,1>
Angle between two vectors formula

Now, using this formula


Hence, the tower deviate from the vertical by the angle 