Given that 23°=√k,determine the value of each of the following in terms of k,without using a calculator1.sin203°
2.cos23°
3.tan(-23°)
Please
Answer any question you know

Answers

Answer 1

Answer: Hello,

In order to exist ,k>=0

1) sin (180°+x)=-sin (x) ==>sin(203°)=-√k

2) cos² x +sin² x=1==>cos x=√(1+sin² x)=√(1+k)

3)tan (-x)=-tan (x) =-sin (x)/cos (x) =- √k/√(1+k)=√(k/(1+k))

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A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.What is the multiplicative rate of change of the exponential function represented in the table?1.52.253.04.5

Each sales associate at an electronics store has a choice of the two salary options shown below:-$115 per week plus 9.5% commission on the associate's total sales
-$450 per week with no commission

The average of the total sales amount for each associate last year was $125,000. Based on this average, what is the difference between the two salary options each year? (52 weeks = 1 year) (10 POINTS)

Answers

$450 x 52 weeks = $23400

$115 x 52 weeks = $5980

125000 x 0.095 = 11875

11875 + 5980 = 17855

23400 - 17855 = 5545

The difference is $5545

An angle of size 124 degrees has been rotated d degrees around a center 0 what is the size of the rotated angle?

Answers

Answer:

124

Step-by-step explanation: Hope it helps

Final answer:

No matter how much the angle is rotated around the center, the size of the angle remains the same. Therefore, even after the rotation, the size of the angle is still 124 degrees.

Explanation:

When an angle is rotated around a center, the size of the angle doesn't change.

It's an important characteristic of angle rotation. So, if an angle of 124 degrees is rotated d degrees around a center, the size of the rotated angle will still remain 124 degrees. It is just in its new position after rotation. Regardless of the rotation of the angle, its size or measure remains the same as the rotation does not affect the measure of the angle.

Learn more about Angle Rotation here:

brainly.com/question/31439078

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Rewrite the equation 2x + 4y + 2 = 3y + 5 in general form.

Answers

Answer: The required general form of the given equation is

$2x+y=3.$

Step-by-step explanation: We are given to rewrite the following equation in general form :

$2x+4y+2=3y+5~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

the general form of a linear equation in two variables x and y is written as :

$ax+by=c,~~\textup{[where a and b cannot be zero at the same time]}$

So, from equation (i0, we have

$2x+4y+2=3y+5\n\n\Rightarrow 2x+4y-3y=5-2\n\n\Rightarrow 2x+y=3.$

Thus, the required general form of the given equation is

$2x+y=3.$

I believe that the general form would be 2x +4y+ 2 = 3y + 5
2x + 4y + 2 - 3y - 5 = 0
2x + y - 3 = 0

A box contains five red marbles, seven white marbles, and four green marbles. A student is computing probabilities by drawing marbles out of the box. Drawing one marble, what is the probability that it is red?

Answers

Answer:

Step-by-step explanation:

you have a total of 5+7+4=16 marbles in the box.

5 are red

7 are white

4 are green

If you randomly select 1 marble out of the box, the probabilities are:

5/16 chance of being red

7/16 chance of being white

4/16 chance of being green

Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?81y4 – 16x2, a perfect square trinomial
81y4 – 16x2, the difference of squares
81y4 – 72xy2 – 16x2, a perfect square trinomial
81y4 – 72xy2 – 16x216, the difference of squares

Answers

Consider the expression $(9y^2- 4x)(9y^2 + 4x) .$ You can see that in both brackets are the same terms $9y^2$ and $4x$ , but signs are different. So you can use formula for the difference of squares:

$a^2-b^2=(a-b)(a+b).$

According to this formula,

$(9y^2-4x)(9y^2+4x)=(9y^2)^2-(4x)^2=9^2\cdot (y^2)^2-4^2\cdot x^2=81y^4-16x^2.$

Answer: correct choice is B.

Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?

Answers

If you would like to find the inequality that shows the number of books Hugh can sell to meet his goal, you can do this using the following steps:

x = ? ... the number of books
$8 * x >= $400
8 * x >= 400
x >= 400 / 8
x >= 50 books

The correct result would be: $8 * x >= $400.

Answer:

50 ≤ x ≤ 100

Step-by-step explanation:

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Jane bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. The tax on the entire purchase was $0.18. What was the total cost of the items?