Answer:
For the first one it is D.
Step-by-step explanation:
I added 84.6 and 30.4 which gives me 115. I then added 66 to get 181, triangles angles only add up to 180 degrees, therefore they are not similar.
Answer:
x=24
Step-by-step explanation:
Here, you need to make proportion and find x.
12:16=18:x
We multiply 12 by x and 16 by 18:
12x=288
Divide by 12 both sides :
x=24
<h2>
Answer:</h2>
<em>Question 10. </em><u><em>The truck travels faster</em></u><em>.</em>
<em>Question 11. </em><u><em>The slug travels faster</em></u><em>.</em>
<h2>
Step-by-step explanation:</h2>
<h2><u>Question 10.</u></h2>
<u />
<h3>1. Find the velocity of each vehicle.</h3>
![Speed=\frac{distance}{time}](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7Bdistance%7D%7Btime%7D)
![Speed_{Car} =\frac{200(miles)}{2(hours)}=100mi/h. \\\\ Speed_{Truck} =\frac{300(miles)}{2.5(hours)} =120mi/h.\\ \\](https://tex.z-dn.net/?f=Speed_%7BCar%7D%20%3D%5Cfrac%7B200%28miles%29%7D%7B2%28hours%29%7D%3D100mi%2Fh.%20%5C%5C%5C%5C%20Speed_%7BTruck%7D%20%3D%5Cfrac%7B300%28miles%29%7D%7B2.5%28hours%29%7D%20%3D120mi%2Fh.%5C%5C%20%5C%5C)
<h3>2. Compare the velocities.</h3>
![Speed_{Car} =100mi/h < Speed_{Truck} =120mi/h.](https://tex.z-dn.net/?f=Speed_%7BCar%7D%20%3D100mi%2Fh%20%3C%20Speed_%7BTruck%7D%20%3D120mi%2Fh.)
<em>Hence, the trucks travels faster than the car.</em>
<em></em>
<u>-------------------------------------------------------------------------------------------------------</u>
<em></em>
<h2><u>Question 11.</u></h2>
<em>Apply the same method as in question 10.</em>
<h3>1. Find the velocity of each body.</h3>
<em />![Speed_{snail}=\frac{20(cm)}{(3 min)} =6.67cm/min.\\ \\Speed_{slug}=\frac{15(cm)}{(2 min)} =7.5cm/min.](https://tex.z-dn.net/?f=Speed_%7Bsnail%7D%3D%5Cfrac%7B20%28cm%29%7D%7B%283%20min%29%7D%20%3D6.67cm%2Fmin.%5C%5C%20%5C%5CSpeed_%7Bslug%7D%3D%5Cfrac%7B15%28cm%29%7D%7B%282%20min%29%7D%20%3D7.5cm%2Fmin.)
<h3>2. Compare the velocities.</h3>
![Speed_{snail}=\frac{20(cm)}{(3 min)} =6.67cm/min < Speed_{slug}=\frac{15(cm)}{(2 min)} =7.5cm/min.](https://tex.z-dn.net/?f=Speed_%7Bsnail%7D%3D%5Cfrac%7B20%28cm%29%7D%7B%283%20min%29%7D%20%3D6.67cm%2Fmin%20%3C%20Speed_%7Bslug%7D%3D%5Cfrac%7B15%28cm%29%7D%7B%282%20min%29%7D%20%3D7.5cm%2Fmin.)
Hence, the slug travels faster.
Answer:
frequency= 165Hz
period= ![\frac{1}{165}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B165%7D)
Step-by-step explanation:
1. To calculate the frequency using the formula:
f = v/λ
where,
f=frequency (what the question asked)
v=speed of wave (given in the question=330m/s)
λ=wavelength (given in the question=2m)
SO,
![f=\frac{330}{2}](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B330%7D%7B2%7D)
= 165Hz
2. To calculate the period use the formula:
since ![f=\frac{1}{T}](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B1%7D%7BT%7D)
therefore, ![T=\frac{1}{f}](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B1%7D%7Bf%7D)
where,
f= frequency (what we solved above=165Hz)
T= period (what the question asked)
SO,
![T=\frac{1}{165}](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B1%7D%7B165%7D)