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2 years ago

Verify the identity. Justify each step.

Mathematics

1 answer:

ANEK [815]2 years ago

4 0

So. Allow me to justify what i just did.
First line: by definition, tangent in sine/cosine, and cotangent is the reciprocal of that.
Second line: You have to multiply by ( $\frac{sin cos}{sincos}$ ) to get a common denominator, so you get the second line.
Third line: Canceling stuff out. to get that.
Fourth line: Adding them together since they now have common denominators.
Fifth line: By terms of the pythagorean identity, $sin^{2}$ + $cos^{2}$ =1. so that is equal to the right side.
Thus verified.

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a cell phone plan offers 250 minutes each month for 15.00 dollars per month. what is the cost per minute when a person uses all

Nezavi [6.7K]

It costs 0.06 cents each minute.

Explanation : $15/250 minutes = $0.06

4 0

3 years ago

Which statements are true for solving the equation 0.5 – |x – 12| = –0.25? Check all that apply.

Trava [24]

we have

$0.5-\left|x-12\right|=-0.25$

we know that

The absolute value has two solutions

Subtract $0.5$ both sides

$-\left|x-12\right|=-0.25-0.5$

$-\left|x-12\right|=-0.75$

Step 1

Find the first solution (Case positive)

$-[+(x-12)]=-0.75$

$-x+12=-0.75$

Subtract $12$ both sides

$-x+12-12=-0.75-12$

$-x=-12.75$

Multiply by $-1$ both sides

$x=12.75$

Step 2

Find the second solution (Case negative)

$-[-(x-12)]=-0.75$

$x-12=-0.75$

Adds $12$ both sides

$x=-0.75+12$

$x=11.25$

Statements

case A) The equation will have no solutions

The statement is False

Because the equation has two solutions------> See the procedure

case B) A good first step for solving the equation is to subtract 0.5 from both sides of the equation

The statement is True -----> See the procedure

case C) A good first step for solving the equation is to split it into a positive case and a negative case

The statement is False -----> See the procedure

case D) The positive case of this equation is 0.5 – |x – 12| = 0.25

The statement is False

Because the positive case is $0.5-(x-12)=-0.25$ -----> see the procedure

case E) The negative case of this equation is x – 12 = –0.75

The statement is True -----> see the procedure

case F) The equation will have only 1 solution

The statement is False

Because The equation has two solutions------> See the procedure

4 0

3 years ago

Read 2 more answers

in a class experiment, Sean finds that the probability that a student plays soccer is 12/25. if the school population is 300, ho

fgiga [73]

Okay, here we have this:

Considering the provided information, we are going to calculate the requested value, so we obtain the following:

Then we will substitute in the following formula:

Students who play soccer=Number of students*(Probability that they play soccer)

Replacing:

Students who play soccer=300*(12/25)

Students who play soccer=3600/25

Students who play soccer=144

Finally we obtain that 144 students would we expect to play soccer, based on Sean's experiment.

5 0

1 year ago

What is 32 hundreds written in standard form

RoseWind [281]

Standard form means the ordinary number form, like 12, 234, or 150. :)

To find 32 hundreds in standard form, mulitiply 32 * 100 = 3,200

So 32 hundreds in standard form is 3,200.

3 0

2 years ago

Read 2 more answers

Find the value of y and z

elena55 [62]

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