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Vlad1618 [11]
3 years ago
7

Given that sec(θ)=5/3 and θ is in Quadrant I, what is tan(θ)? Write your answer in exact form. Do not round.

Mathematics
1 answer:
sergeinik [125]3 years ago
7 0

9514 1404 393

Answer:

  tan(θ) = 4/3

Step-by-step explanation:

The relationship between secant and tangent is ...

  1 +tan² = sec²

The the tangent of the angle is ...

  tan(θ) = √(sec²(θ) -1)

  tan(θ) = √((5/3)² -1) = √(16/9)

  tan(θ) = 4/3

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Which three of the following expenses can student aid cover? tuition television school supplies parties and socializing boarding
Hitman42 [59]

The tuition, school supplies, and boarding/housing for the expenses can student aid cover.

<h3>What is decision-making?</h3>

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

The following expenses can student aid cover.

A.  Tuition - A student aid cover can be utilized to promote the tuition.

B.  Television - There is no use of the student aid cover for selling the TV.

C.  School supplies - We can use the face of the topper on the school supplies to promote schooling.

D.  Parties and socializing - There is no need for student aid cover for parties and socializing.

E.  Boarding or housing - We can use student aid cover to promote the hostel for the student.

More about the decision-making link is given below.

brainly.com/question/3369578

5 0
2 years ago
If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?
Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

A = P(1 + \frac{r}{n})^{nt} to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

nt = 4 \times 30 = 120

r/n =  0.065/4 = .01625

1 + r/n = 1.01625

(1 + r/n)^{nt} = 1.01625^{120}

Therefore

A = 25000 \times 1.0625^{120} = 172,984.44


4 0
2 years ago
F(x) =x2+2x-3 g(x)=3x-14
Leviafan [203]

The solution to the composite function f(g(x)) is 9x² - 78x  + 165.

<h3>What is composite function?</h3>

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

         = 9x² - 84x + 196  + 6x - 28 - 3

         = 9x² - 78x  + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x  + 165.

Learn more about composite function here: brainly.com/question/10687170

#SPJ1

The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))

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1 year ago
Is negative 5/8ths more than,less than or equal to 0.27?
ollegr [7]
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3 years ago
at a parade, 1/4 of the participants have red hair, 1/6 of them have brown hair and the rest of them have black hair. which frac
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