Answer:
x= -30
Step-by-step explanation:
√3×sinx+cosx=0
√3sinx=-cosx
√3sinx/-cosx=1
-sinx/cosx=1/√3
-tanx=1/√3
(tan(180-30))=1/√3
tan(-30)=1/√3
Therefore, x= -30
Y = kx
72 = k*3
73/3 = k
24 = k
y = 24x
Answer:
(x+1)(x−1)(x+4)(x−4)
Step-by-step explanation:
The rate at which the sound travels in km/hr is 0.142km/hr
<h3>Conversion of m/s to km/hr</h3>
If a sound wave travels with a speed of 5120m/s, in order to convert to km/he, we will use the conversion factor below;
1hr = 3600secs
1km = 1000m
Using the conversion factor in our dimensional analysis
5120m/s = 5120m/1s * 1km/1000m * 3600s/1hr
5120m/s = 5120m/3600000
5120m/s = 0.142km/hr
Hence the rate at which the sound travels in km/hr is 0.142km/hr
learn more on dimensional analysis here: brainly.com/question/21510595
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Answer: 11113200
Step-by-step explanation:
We know that , the number of combination of choosing r things from n things is given by :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-


∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200