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bonufazy [111]
3 years ago
10

Solve in degrees. 0 < θ < 360 1. tan θ = 3.5134

Mathematics
1 answer:
Temka [501]3 years ago
5 0

Answer:

Therefore,

\theta=74.11\°\ or\ \theta=254.11\°

Step-by-step explanation:

Given:

0° < θ < 360°

tan θ = 3.5134

To Find:

θ in degrees = ?

Solution:

0° < θ < 360° .............Given

Means ' θ ' is between 0° and 360°

\tan \theta=3.5134 .............Given

Therefore,

\theta=\tan^{-1} (3.5134)

Also,

\tan (180+\theta)=\tan \theta

So  ' θ '  will have Two values for tan θ =3.5134

\therefore \theta=74.11\°\ or\ \theta=180+74.11=254.11\°

Therefore,

\theta=74.11\°\ or\ \theta=254.11\°

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Investments increase exponentially by
Blizzard [7]

Using an exponential function, it is found that you would have $10,240 after 18 years.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

Considering the initial value of $2,500, and the growth rate of 60% every 6 years, the equation is given by:

A(t) = 2500(1.6)^\frac{t}{6}

Hence, after 18 years, the amount is given by:

A(18) = 2500(1.6)^\frac{18}{6} = 10240

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0
2 years ago
Solve each equation. Show your work<br><br> 13a=-5<br> 12−b=12.5<br> -0.1=-10c
amid [387]
1) 13a=-5
Make a the subject of the formula by dividing both sides by 13(the coefficient of a)
13a/13=-5/13
Therefore a= -0.385

The second one). 12-b= 12.5
You take the 12 to the other side making b subject of the formula (-b in this case)
-b= 12.5-12
-b= 0.5
(You cannot leave b with a negative sign so you will divide both sides by -1 to cancel out the negative sign)

-b/-1= 0.5/-1
Therefore b=-0.5

The third one). -0.1= -10c
You will divide both sides by the coefficient of c(number next to c) which is -10
-0.1/-10= -10c/-10

Hence, c= 0.01
5 0
3 years ago
A car starts with a dull tank of gas. After driving around 5he city, 1/7 of the gas has been used. With the rest of the gas in t
Sati [7]

Answer:

\frac{2}{7}

Step-by-step explanation:

Given:

A car starts with a dull tank of gas

1/7 of the gas has been used around the city.

With the rest of the gas in the car, the car can travel to and from Ottawa three times.

Question asked:

What fractions of a tank of gas does each complete trip to Ottawa use?

Solution:

Fuel used around the city = \frac{1}{7}

Remaining fuel after driving around the city = 1 - \frac{1}{7}

                                                                         =    \frac{7 - 1}{7}  = \frac{6}{7}

According to question:

As from the rest of the gas in the car that is \frac{6}{7}, the car can complete 3 trip to Ottawa  which means,

By unitary method:

The car can complete 3 trip by using = \frac{6}{7} tank of gas.

The car can complete 1 trip by using =  \frac{6}{7} \div 3

                                                             =\frac{6}{7} \times\frac{1}{3}

                                                             =  \frac{6}{21}

                                                             = \frac{2}{7} tank of gas

Thus, \frac{2}{7} tank of gas used for each complete trip to Ottawa.

5 0
3 years ago
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. The
solniwko [45]

Answer:

f(x) = 26500 * (0.925)^x

It will take 7 years

Step-by-step explanation:

A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.

To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.

4 0
3 years ago
PWEASE HELP ME!!! I NEED IT ASAP!! ILL GIVE BRAINLIEST
Sati [7]

Answer:

4/5 times a number Plus 8 answer=b

cuz if you because it says 4 / 5 which would be X so you have to do for as 5 as fraction and then you have to multiply it

8 0
3 years ago
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