2 sin2x + 3 cos x

6. Salary Raise. A Union negotiates for a cost-of-living raise of 3.4%. What is the raise for a union

Marizza181 [45]

Answer:

<h2>New salary= $43,800.24</h2>

Step-by-step explanation:

Step one:

Given data

the initial salary is = $42,360

the raise in percentage is =3.4%

To know the raise we need to calculate what the amount of 3.4% of $42,360 is

Step two:

=(3.4/100)*42,360

=0.034*42360

=1440.24

therefore thr raise is $1440.24

Step three:

the new salary is given as

new salary= old salary+ raise

New salary= $42,360+$1440.24

New salary= $43,800.24

4 0

3 years ago

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear f

Cloud [144]

Answer:

C. Domain: All real numbers greater than or equal to 0 and less than or equal to 50. Range: All real numbers greater than or equal to 0 and less than or equal to 100

Step-by-step explanation:

<em>Refer to attached</em>

<u>Continuation of the question:</u>

Which answer choice best describes the domain and range of the function for this situation?

A

Domain: All real numbers greater than or equal to 0 and less than or equal to 100
Range: All real numbers greater than or equal to 0 and less than or equal to 50

B

Domain: (-2)
Range: (100)

C

Domain: All real numbers greater than or equal to 0 and less than or equal to 50
Range: All real numbers greater than or equal to 0 and less than or equal to 100

D

Domain: (100)
Range: (-2)

------------

As per the graph, the domain is x-values in the interval [0, 50] minutes and the range is y-values in the interval [0, 100] percentage.

<u>Correct answer choice is therefore:</u>

Option C

The rest are all incorrect

6 0

4 years ago

Which of the following statements are true about line segments?

Minchanka [31]

Which of the following statements are true about line segments

Answer: that connect two endpoints

8 0

3 years ago

On a coordinate plane, triangle A B C is shown. Point A is at (0, 0), point B is at (3, 4), and point C is at (3, 2). What is th

Elena L [17]

Answer:

The area of triangle for the given coordinates is 1.5 $\sqrt{4.6}$

Step-by-step explanation:

Given coordinates of triangles as

A = (0,0)

B = (3,4)

C = (3,2)

So, The measure of length AB = a = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

Or, a = $\sqrt{(3-0)^{2}+(4-0)^{2}}$

Or, a = $\sqrt{9+16}$

Or, a = $\sqrt{25}$

∴ a = 5 unit

Similarly

The measure of length BC = b = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

Or, b = $\sqrt{(3-3)^{2}+(2-4)^{2}}$

Or, a = $\sqrt{0+4}$

Or, b = $\sqrt{4}$

∴ b = 2 unit

And

So, The measure of length CA = c = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

Or, c = $\sqrt{(3-0)^{2}+(2-0)^{2}}$

Or, c = $\sqrt{9+4}$

Or, c = $\sqrt{13}$

∴ c = $\sqrt{13}$ unit

Now, area of Triangle written as , from Heron's formula

A = $\sqrt{s\times (s-a)\times (s-b)\times (s-c)}$

and s = $\frac{a+b+c}{2}$

I.e s = $\frac{5+2+\sqrt{13}}{2}$

Or. s = $\frac{7+\sqrt{13}}{2}$

So, A = $\sqrt{(\frac{(7+\sqrt{13})}{2})\times ((\frac{(7+\sqrt{13})}{2})-5)\times (\frac{7+\sqrt{13}}{2}-2)\times (\frac{7+\sqrt{13}}{2}-\sqrt{13})}$