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DerKrebs [107]
3 years ago
6

Given that sin θ = x/4. Which expression represents θ in terms of x?

Mathematics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

arcsin(x/4)

Step-by-step explanation:

Sinθ =x/4

θ= sin-¹(x/4)

θ= arc sin (x/4)

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Step-by-step explanation:

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3 years ago
Car dealerships claim to make most of their money from servicing cars. In a certain month, an Acura dealership sold fifteen less
MA_775_DIABLO [31]

Answer:

New cars sold = 20,

Used cars sold = 25

Cars serviced = 290

Step-by-step explanation:

In a month they sold fifteen less used cars than twice the number of new cars.

Lets say 'x' number of new cars were sold, then:

The number of used car sold is:

2\times x-15=2x-15

In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:

12\times x+50=12x+50

Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:

x+(2x-15)+(12x+15)=335

Solving for 'x' we get:

x+2x+12x-15+50=335

15x+35=335

15x=335-35=300

x=\frac{300}{15}=20

Therefore, the number of new cars sold in that month is 20.

Number of used car sold =2x-15=2\times 20-15=40-15=25

Number of cars serviced =12\times x+50=12\times20+50=240+50=290

We can also cross check by summing them up:

290+25+20=335

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