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3 years ago

5

What is the relationship between the sine and cosine of complementary angles? a They are the same. b They are reciprocals. c The

re is no relationship d They equal 0.

1 answer:

yanalaym [24]3 years ago

6 0

Answer:

A. They are the same.

Step-by-step explanation:

The sine of any acute angle is equal to its cosine.

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Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in

luda_lava [24]

From the given problem statement alone, we can say that the equation relating the area of the lawn mowed and the earnings has a linear relationship. That is because there is a constant increase in the earnings per area which is $1 per 1000 square feet.

Therefore the equation must be in the form of:

y = m x + b

where,

y = is the total earnings

m = is the fee per area = 1 / 1000

x = is the area of the lawn

b = is the fixed fee = 30

Therefore the equation becomes:

y = 0.001 x + 30

Rewriting this in terms for x since we are to find the area:

x = (y – 30) 1000

when y = 204

x = (204 – 30) 1000 = 174,000 square feet

when y = 344

x = (344 – 30) 1000 = 314,000 square feet

when y = 450

x = (450 – 30) 1000 = 420,000 square feet

when y = 482

x = (482 – 30) 1000 = 452,000 square feet

when y = 504

x = (504 – 30) 1000 = 474,000 square feet

8 0

3 years ago

Simplify: 5 -3 • 5 5<br><br> 25 8<br> 25 -15<br> 5 -3<br> 5 2

Lostsunrise [7]

5 -3 * 5 5 simplified = 160!!!

7 0

3 years ago

For the following exercises, solve each inequality and write the solution in interval notation.

Pie

Answer:

The solution of the given set in interval form is $(-\infty,-4] \cup[12, \infty)$ .

Step-by-step explanation:

It is given in the question an inequality as $|x-4| \geq 8$ .

It is required to determine the solution of the inequality.

To determine the solution of the inequality, solve the inequality $x-4 \geq 8$ and, $x-4 \leq-8$

Step 1 of 2

Solve the inequality $x-4 \geq 8$

$\begin{aligned}&x-4 \geq 8 \\&x-4+4 \geq 8+4 \\&x \geq 12\end{aligned}$

Solve the inequality $x-4 \leq-8$ .

$\begin{aligned}&x-4 \leq-8 \\&x-4+4 \leq-8+4 \\&x \leq-4\end{aligned}$

Step 2 of 2

The common solution from the above two solutions is x less than -4 and $x \geq 12$ .

The solution set in terms of interval is $(-\infty,-4] \cup[12, \infty)$ .

7 0

2 years ago

1. If an equation is true for all values of the variable, then it has?

Alja [10]

Answer:

Infinite solutions

Step-by-step explanation:

Infinite solutions, because every value will work.

7 0

3 years ago

Find these coordinates

ohaa [14]

Answer:

A: (-2, 0)

B: (-1, 0)

C: (-1/4, 0)

D: (1/4, 0)

E: (1/2, 0)

F: (1 1/2, 0)

G: (2, 0)

H: (2 3/4, 0)

I: (3 1/2, 0)

Step-by-step explanation:

<em>From the graph we can see that every 4th line from </em><em>0</em><em> is a </em><em>whole unit</em><em>. </em>

<em>I put a </em><em>0</em><em> in place of the </em><em>y value</em><em> for every coordinate because the points don't move neither up nor down.</em>

4 0

3 years ago