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2 years ago

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For a right triangle ABC, you are told that cos A=X and sun A=y. Which option gives an expression that is equivalent to tan A? X

/ x2+y2. X/y. Y/X. Y/x2+y2

1 answer:

Lera25 [3.4K]2 years ago

8 0

For a right triangle ABC, the expression that is equivalent to tan A is y/x.

<h3>What is defined as the trigonometric functions?</h3>

Trigonometric functions, also recognized as circular functions, are simply functions of a triangle's angle.
These trig functions define the relationship between both the angles as well as sides of a triangle.
Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
The sine, cosine, as well as tangent angles are the primary categorization of trigonometric functions.
The primary functions can be used to derive the three functions cotangent, secant, and cosecant.

For the given question,

In a right triangle ABC.

The cosine and sin functions are defined as;

cos A=X and sin A=y.

Then, we know that tan A function can be written in the form in the form of cos A and sin A as,

tan A = sin A/ cos A

Put the values,

tan A = y/x

Thus, the expression that is equivalent to tan A is y/x.

To know more about the trigonometric functions, here

brainly.com/question/25618616

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. Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x-

Ksenya-84 [330]

Answer:

A. x = 16 , y = 34

B x = 2000, y = 1000

Step-by-step explanation:

Solution:-

- We will first define our variables ( x and y ) as follows:

x: The number of "nickels" in the jar

y: The number of "dimes" in the jar.

- Nest we will write down the rates of nickel and dime in dollar equivalent as ( P_n and P_d, respectively ) as follows:

P_n = $0.05 ... ( 5 cents )

P_d = $0.10 ... ( 10 cents )

- We are told that the jar contains a total of "50" coins comprised of nickel and dimes. Since, we don't know the exact amount of nickel and dimes in the jar. We will express the statement mathematically using the previously defined variables as follows:

$x + y = 50$ ... Eq1

- Secondly, the total worth of the jar is given to be " $4.2 ". The respectively value of each coin was iterated above. We will compute the total worth of the jar by expressing in terms of x and y as follows:

$P_n*x + P_d*y = 4.2\\\\0.05x + 0.1*y = 4.2$ ... Eq 2

- We have two equations [ Eq1 and Eq2 ] comprising of two variables. We can solve them simultaneously for a unique solution ( x and y ).

- To solve by elimination. We will first multiply the [ Eq1 ] by "- 0.1 " throughout as follows:

$-0.1x - 0.1y = -5\\\\0.05x + 0.1y = 4.2$

- Now we will add the two equations and eliminate the variable " y " and solve for " x ":

$-0.05x = -0.8\\\\x = 16$

- Now plug the value of " x " in either of the derived equations and solve for "y":

$y = 50 - 16\\y = 34$

Answer: There are 16 nickels and 34 dimes in the jar of total worth $4.2.

- We will first define our variables ( x and y ) as follows:

x: The number of "sodas" sold

y: The number of "hot dogs" sold.

- Nest we will write down the rate charged for soda and hot-dogs equivalent as ( P_s and P_h, respectively ) as follows:

P_s = $2 / soda

P_h = $3 / hot-dog

- We are told that " 3000 " sodas and hot-dogs were sold at the concession stand . Since, we don't know the exact amount of sodas and hot-dogs sold. We will express the statement mathematically using the previously defined variables as follows:

$x + y = 3000$ ... Eq1

- Secondly, the total amount expressed on the receipts after selling "x" many sodas and " y " many hot--dogs was " $7000 ". The respectively value of each commodity sold was iterated above. We will compute the total value of items sold by expressing in terms of x and y as follows:

$P_s*x + P_h*y = 7000\\\\2x + 3y = 7000$ ... Eq 2

- We have two equations [ Eq1 and Eq2 ] comprising of two variables. We can solve them simultaneously for a unique solution ( x and y ).

- To solve by elimination. We will first multiply the [ Eq1 ] by "-2 " throughout as follows:

$-2x - 2y = -6000\\\\2x + 3y = 7000$

- Now we will add the two equations and eliminate the variable " x " and solve for " y ":

$y = 1000$

- Now plug the value of " y " in either of the derived equations and solve for "x":

$x = 3000 - 1000\\\\x = 2000$

Answer: The concession sold 2000 sodas and 1000 hot-dogs of total worth $7000.

8 0

3 years ago

olivia baked 23 mini loaves of banana bread to be sliced for snacks at a craft fair. what if olivia wants to put only whole live

Oxana [17]

How many locations are there?

5 0

3 years ago

Read 2 more answers

20 points! Can someone do part A for me? I know how to do these questions I’m just a tad bit confused. :/

Serhud [2]

Revenue = (number of phones)(price of phones)

If Mobistar charges $80 per phone, then their revenue is

$r=800\times80=64,000$

If they instead charge $2 less per phone (so that $d=1$ ), or $78 per phone, then their revenue would be

$r=840\times78=65,520$

If they charge $4 less per phone ( $d=2$ ), then they make

$r=880\times76=66,880$

and so on. As the hint suggests, we can write the number of phones sold as an expression depending on the number of price decreases $d$ ; that is, for each price decrease, the number of phones sold increases by 40.

Similarly, the price per phone can be written in terms of $d$ , since the cost of a phone starts at a fixed $80 and decreases by $2 for each unit of $d$ . So total revenue can be written as

$r(d)=(800+40d)(80-2d)$

You can stop there, but you may be expected to write this in standard quadratic form, which is just a matter of expanding $r(d)$ .

$r(d)=64,000+1,600d-80d^2$

For the remaining parts:

(B) Writing in vertex form will help, as the name suggests. That's just a matter of completing the square. You have

$r(d)=-80d^2+1,600d+64,000$
$r(d)=-80(d^2-20d-800)$
$r(d)=-80(d^2-20d+100-100-800)$
$r(d)=-80((d-10)^2-900)$
$r(d)=72,000-80(d-10)^2$

which is to say the vertex of the parabola described by $r(d)$ occurs at (10, 72,000). The parabola "opens downward" (which we know because the sign of the leading (quadratic) term is negative), so the vertex is a maximum of the revenue function, which in turn means the most revenue the company can achieve will be achieved if $d=10$ , netting them $72,000. This translates to setting the price per phone to $80-2(10)=\$60$ .

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4 years ago

Which set of numbers is an example of an arithmetic sequence

seropon [69]

Step-by-step explanation:

b ha ok like and follow please

7 0

4 years ago

Skill 3 prime factorization

slega [8]

Explanation:

Prime factorization says that, if a number is prime then the only way it can be factored is, 1 times the number itself.

But if the number is composite, it can be expressed as a product of prime factors. This method is called prime factorization.

For example: 12 is a composite number, it can be written in the form of prime factorization as,

$12 = 2 \times 2 \times 3$

Here we can see that 12 is expressed as the product of primes only. This is called prime factorization.

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3 years ago