Evaluate [ sin^2 -(cos^2@)(sin^2)]^-1 for @=30 degrees. The value of this expression is

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.

−sin (π2)

The exact value of sin(π2) is 1.

-1.1

Multiply

−1 by 1.

−1

SIN (3 PIE/2)

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Given\qquad \overline{OL}\perp\overline{ON} OL⊥ ONstart overline, O, L, end overline, \perp, start overline, O, N, end overline\qquad m \angle LOM = 3x - 15^\circm∠LOM=3x−15 ∘m, angle, L, O, M, equals, 3, x, minus, 15, degrees\qquad m \angle MON = 5x - 23^\circm∠MON=5x−23 ∘m, angle, M, O, N, equals, 5, x, minus, 23, degreesFind m\angle MONm∠MONm, angle, M, O, N:

One cell phone plan charges $20 per month plus $0.15 per minute used. A second cell phone plan charges $35 per month plus $0.10 per minute used. Write and solve an equation to find the number of minutes you must talk to have the same cost for both calling plans.

Answers

The equations are as follows where x represents the number of minutes the cell phone is used.

For plan one: Total cost = $20 + $0.15x

For plan two: Total cost = $35 + $0.10x

For both the costs to be the same, we need to use the cell phone for

300 minutes.

What are equations?

Equations are relations showing the value of one quantity related to another quantity when it can change. The changing value is the variable.

How do we solve the given question?

We are informed that one cell phone plan charges $20 per month plus $0.15 per minute used. A second cell phone plan charges $35 per month plus $0.10 per minute used.

We are asked to write and solve an equation to find the number of minutes you must talk to have the same cost for both calling plans.

Let the number of minutes the cell phone is used be x minutes.

Now we solve for equations for both plans in the following way:-

Plan one:

Charges $20 per month plus $0.15 per minute used.

When the use is for x minutes, the additional charge = $0.15*x = $0.15x

∴ Total cost = Fixed cost + Additional cost

or, Total cost = $20 + $0.15x.

Plan two:

Charges $35 per month plus $0.10 per minute used.

When the use is for x minutes, the additional charge = $0.10*x = $0.10x

∴ Total cost = Fixed cost + Additional cost

or, Total cost = $35 + $0.10x.

We are asked to find the number of minutes used so that the costs in both the plans are equal. To find this we equate the equation of total costs in both the cases to get:

$20 + $0.15x = $35 + $0.10x.

Subtracting ($20 + $0.10x) from both sides of the equation, we get

$20 + $0.15x - ($20 + $0.10x) = $35 + $0.10x - ($20 + $0.10x).

or, $20 + $0.15x - $20 - $0.10x = $35 + $0.10x - $20 - $0.10x.

or, $0.05x = $15

Dividing both sides of the equation by $0.05, we get

$0.05x/$0.05 = $10/$0.05

or, x = 300.

∴ We must talk for 300 minutes for both the plans to cost the same to us.

Learn more about equations at

brainly.com/question/2972832

#SPJ2

Both of these equations are linear, so you have to write equations in the y=my+b format. And then you have to set the equations to equal each other to find x

Answer: 300 minutes

a retailer buys a shirt in bulk at a unit price of $18. the shirt is marked up 36%to sell in the store. what is the price of the shirt in the store

Answers

If the bulk price is 18, then 36% of 18 is 6.48, which makes the final price 18 + 6.48 = 24.48

Answer:

24.48 dollars

Step-by-step explanation:

you put $1200 in an account that earns 3% simple interest. Find the total amount in the account after four years.

Answers

First, before we do anything, let's find how much interest the account has earned over the four years.
Multiply 0.003 by 4 to get 0.12
This means the account earned 12% of interest over the four years.
Now, we need to find how much the account has earned.
Multiply 1200 by 0.12 to find how much interest it currently.
You get $144.
Now we add 144 to 1200.
We get $1344.
The total amount the account has earned after four years is $1344.
Hope this helped you! :)

Here’s a graph of a linear function write the equation that describes the function. express it in slope-intercept form

Answers

Answer:

Step-by-step explanation:

Question On Image, Thanka for the help

Answers

Answer:

$3(7)/(10)$

Step-by-step explanation:

In Mathmatics there are certain words to describe symbols for example of in this situation of is used as a multiplication sign there are also other words used to describe multiplication like per, times, and doubles.

So now that we know the of is a multiplication sign we can insert it in the problem. $(2)/(3) * 1(4)/(5) + 2(1)/(2)$

So using PEMDAS which stands for

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

So we first multiply $(2)/(3) * 1(4)/(5)$ and we get $1(1)/(5)$ .

Then we add $1(1)/(5) + 2(1)/(2)$ and we get $3(7)/(10)$ .

What is equivalent to 1/3a.2/7, 3/8, 4/5
b. 2/6, 3/9, 4/12
c.5/8, 3/4, 4/6
d. 3/5, 4/6, 2/8

Answers

what you would do is simplify everything so in b. 2/6 would simplify into 1/3 as well as 3/9 and 4/12 would also simplify into 1/3. in group c. you would only have to simplify 4/6 into 2/3 and group d. 2/8 would be 1/4. now I'm assuming that all the numbers in the group would have to simplify to 1/3 in order to be correct so group b. would be the right answer

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