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3 years ago

6

S denotes the length of the arc of a circle of radius r subtended by the central angle theta. Find the missing quantity. Thetaeq

ualsone fourth radian, sequals3 feet, requals?

1 answer:

serious [3.7K]3 years ago

6 0

The appropriate relation is ...

... s = rθ

Filling in the given information, you get ...

... 3 ft = r·(1/4)

Multiply by 4 and you find r:

... 12 ft = r

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Sharon purchased a used car for $24,600. The car depreciates exponentially by 8% per

Tju [1.3M]

Answer:

The value of car after 5 years of exponentially depreciation is $16,213.36

Step-by-step explanation:

The initial amount of the car = i = $24,600

The depreciates rate of interest applied = r = 8%

Let The value of car after n years = A

The number of years = n = 5 years

Now,According to question

The value of car after n years = initial price of car × $(1-\dfrac{\textrm rate}{100})^{\textrm time}$

Or, The value of car after 5 years = i × $(1-\dfrac{\textrm r}{100})^{\textrm n}$

Or, $A = $24,600 × $(1-\dfrac{\textrm 8}{100})^{\textrm 5}$

Or, $A = $24,600 × $(0.92)^{5}$

Or, $A = $24,600 × 0.65908

Or, $A = $16,213.36

So, The value of car after 5 years = A = $16,213.36

Hence , The value of car after 5 years of exponentially depreciation is $16,213.36 . Answer

5 0

3 years ago

Please help i will give brainliest!

iren [92.7K]

Area of square = 24cm²
⇒ Length = √24

Find the diagonal of half the square:
a² + b² = c²
c² = (0.5√24)² + (√24)²
c² = 6 + 24
c² = 30
c = √30

The diagonal of half of the square is the radius of the circle.
⇒ radius = √30

Area of the semicircle = 1/2πr² = 1/2π(√30)² =15π

Answer: 15π²

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3 years ago

The Fort Worth Zoo had 6,195 visitors last week. The zoo is open seven days a

umka21 [38]

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

$7N = 6195$

where $N$ is the number of people that would show up to the zoo on a given day.

Dividing both sides by 7 will give us the answer:

$N = 885$

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3 years ago

Use the rules to evaluate or simplify. Write without negative exponents.

zhannawk [14.2K]

(y^-5) / (y^-2)
Flip fraction and get rid of the negative from the exponents (you can do that!)
(y^2) / (y^5)
(y * y) / (y * y * y * y * y)
Cancel y's
1 / (y * y * y)
1 / (y^3)

That's your answer.
Have an awesome day! :)

7 0

3 years ago

For questions 1 and 2 graph the exponential function:<br> 1. y=3^x<br> 2. y=2(4.5)^x

Mumz [18]

First, we should know exponential formula, for example exp (LnA) =A, for all A>0, and as for logarythm, LnA^p=pLnA, for all A>0, and for all value of p
so y=3^x=exp[Ln(3^x)]=exp(xLn3), let's search the graph of f(x)=exp(xLn3) f is defined in R, and its teminals limits are 0, and + infinity, f' (x) = Ln3.exp(xLn3), it is positif for all value of x, the function is strictly increasing, f(0)=Ln3, please look at the figure 1
the same method with y=2(4.5)^x, we find y=exp[Ln (2(4.5)^x)]=
exp[Ln (2) +Ln(4.5)^x)], because (LnAB=LnA + LnB), so y=2.exp[Ln(4.5)^x)]=2.exp(x[Ln(4.5)]), which domain is R, nd its teminals limits are 0, and + infinity, f' (x)=2.Ln(4.5) exp(x[Ln(4.5)]), which is positif for all value of x, the function is strictly increasing,and then f(0)=2Ln(4.5)
please look the figure 2

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3 years ago

Read 2 more answers