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3 years ago

What are all the exact solutions of -3tan^2x+1=0? Give your answers in radians.

Mathematics

1 answer:

Mazyrski [523]3 years ago

3 0

Answer:

x = ±π/6 +kπ . . . for any integer k

Step-by-step explanation:

Solving for x, we have ...

1 = 3tan(x)² . . . . . add 3tan(x)²

±√(1/3) = tan(x) . . . divide by 3, take the square root

x = arctan(±√(1/3)) +kπ . . . . use the inverse function to find x

x = ±π/6 +kπ

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svetlana [45]

Answer:

The equation will be: $3s+5t=779$

Step-by-step explanation:

The number of student tickets that were sold $=s$

and the number of other tickets that were sold $=t$

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So, the total cost of $s$ student tickets $=\$3s$ and the total cost of $t$ other tickets $=\$5t$

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The population of a town increases by 4 % every year . In the last year the population of the town was 110000.

TEA [102]

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

$P(y)$ represent the total population, and $y$ represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

$P(y)=110000(1.04)^y$

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

$P(1)=110000(1.04)^1=114400$

The present population is 114,400 people.

For next year, set y equal to 2 (2 years after last year is next year)>

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The population next year will be 118,976 people.

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3 years ago

Explain the steps to measuring an angle using a protractor. How do you determine an angle’s measurement in degrees?

Margaret [11]

Hello

Place the midpoint of the protractor on the VERTEX of the angle.Line up one side of the angle with the zero line of the protractor (where you see the number 0).Read the degrees where the other side crosses the number scale.

Have a nice day

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3 years ago

3. Subtract 1.7 - 0.8 = _____ tenths - _____ tenths = _____ tenths = ______ what are the tenths

ANTONII [103]

Answer:

17 tenths - 8 tenths=9 tenths

Step-by-step explanation:

1.7 tenths is 17 tenths, we can see that by multiplying 1.7x10 to get 17

dot he sam with 0.8 to get 8 tenths

ti find the answer, subtract the units. 17-8=9

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3 years ago