Can someone help me????

Mathematics

2 answers:

Mars2501 [29]3 years ago

6 0

I believe it's 18=2x+4

It's $4 MORE than TWICE the amount. Add $4 to the 2. Assuming 'x' is used to represent hours. 18 is the total.

Now, the internship pays $7 an hour. How do I know that?

$18-$4=$14

The $4 more

14/2=7

TWICE as much

My name is Ann [436]3 years ago

4 0

18 = 2x +4

Subtract 4 from each side:

14 = 2x

divide both sides by 2:

X = 14/2 = 7 dollars per hour

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Given tan of theta = -2 and pi/2; find cos(2theta)

Nata [24]

Given tan of theta = -2 and pi/2; find cos(2theta)
The identity of cos (2 theta)= $cos(2\theta )=\frac{1-tan^2\theta }{1+tan^2\theta }$
Given tan of theta = -2 and pi/2.
So, let's plug in tan theta= -2
$cos(2\theta)= \frac{1-(-2)^2}{1+(-2)^2}$
= $\frac{1-4}{1+4}$ (Squaring)
= $\frac{-3}{5}$ (simplifying)
So, cos ( 2 theta) = -3/5.
Now we can plug in tan theta = π/2
$cos(2\theta)= \frac{1-(π/2)^2}{1+(π/2)^2}$
= $\frac{1-pi^2/4}{1+pi^2/4}$ (Squaring)
= $\frac{4-pi^2}{4+pi^2}$ Simplifying
So, cos ( 2 theta)= -3/5 and (4-pi^2)/(4+pi^2)