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2 years ago

Which of the following expressions are equivalent to 30 - 8x - 6 - 5x?

Mathematics

1 answer:

olganol [36]2 years ago

6 0

I think it's the 2 one I'm 76 percent sure

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(20 points)Solve the equation cos x = sin (x + 22)

Law Incorporation [45]

Answer:

$\bold{x = 34^\circ}$

Step-by-step explanation:

Given:

$cos x = sin (x + 22^\circ)$

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

$sin(90^\circ-\theta )=cos\theta$

$cos(90^\circ-\theta )=sin\theta$

We can apply above property to solve for $x$ as per given equation.

$cos x = sin (x + 22^\circ)$

Changing $cosx$ to sine form:

$cosx=sin(90^\circ-x)$

$cosx=sin(90^\circ-x) = sin(x+22^\circ)$

$\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}$

So, solution to the equation $cos x = sin (x + 22^\circ)$ is:

$\bold{x = 34^\circ}$

7 0

3 years ago

Which unit should be used to measure mass of pencil?

alexandr402 [8]

Answer:

Grams

Step-by-step explanation:

Pencils are pretty light, so they should be measured in grams.

4 0

3 years ago

Read 2 more answers

Express 0.52 as a fraction

ioda

52/100
26/50
13/25
These will all do.

7 0

3 years ago

Read 2 more answers

The Tigers’ second play went for +4 1/2 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or l

Vlad1618 [11]

Answer:

They gained 4 1/2 yards

Step-by-step explanation:

It was a positive gain because they didn't go back.

7 0

2 years ago

Read 2 more answers

Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by<br> combining the equations.

Alchen [17]

Answer:

x=-5, y=-8. (-5, -8).

Step-by-step explanation:

-x+2y=-11

5x-8y=39

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

5(-x+2y)=5(-11)

5x-8y=39

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

-5x+10y=-55

5x-8y=39

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

2y=-16

y=-16/2

y=-8

-x+2(-8)=-11

-x-16=-11

-x=-11+16

-x=5

x=-5

3 0

2 years ago