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3 years ago

Choose an equivalent expression.

Mathematics

1 answer:

anastassius [24]3 years ago

5 0

D: 11x + 12, you just add all of the x values together and you’re set.

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Tan theta is equal to 2- cos theta find the value of sin theta

artcher [175]

Answer:

sqrt(2)/2

Step-by-step explanation:

Given tan(x)=2-cot(x), find sin(x).

Rewrite in terms of sine and cosine:

sin(x)/cos(x)=2-cos(x)/sin(x)

Multiply both sides by cos(x)sin(x):

sin^2(x)=2sin(x)cos(x)-cos^2(x)

Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:

sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))

Distribute:

sin^2(x)=2sin(x)cos(x)-1+sin^2(x)

Subtracting sin^2(x) on both sides:

0=2sin(x)cos(x)-1

Add 1 on both sides:

1=2sin(x)cos(x)

Use identity sin(2x)=2sin(x)cos(x) to rewrite right:

1=sin(2x)

Since sin(pi/2)=1, then 2x=pi/2.

Dividing both sides by 2 gives x=pi/4.

So sin(pi/4)=sqrt(2)/2

4 0

3 years ago

Which addition expression equals −12−12?

Andreyy89

Since subtracting is the same as adding a negative number, the answer is -12 + (-12). Hope this helps!

8 0

3 years ago

Read 2 more answers

Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater?

Zina [86]

Answer:

$tom = \frac{85}{100} \times 20 \\ = 17 \: questions$

Melissa had a greater mark.

4 0

3 years ago

Read 2 more answers

In the last year, a total of 2727 earthquakes occurred in the country. Of these, 85.3 % were minor tremors with magnitudes of

Komok [63]

Answer:

Minor earthquakes occurred in the country in the last year were 2326.

Step-by-step explanation:

Given:

In the last year, a total of 2727 earthquakes occurred in the country.

Of these, 85.3 % were minor tremors with magnitudes of 3.9 or less on the Richter scale.

Now, to find the minor earthquakes occured in the country last year.

Total earthquakes occurred in the country = 2727.

The percent of minor earthquakes = 85.3%.

Now, to get the number of minor earthquakes:

85.3% of 2727.

$=\frac{85.3}{100} \times 2727.$

$=\frac{232613.1}{100}$

$=2326.131$

The number of minor earthquakes nearest whole number = 2326.

Therefore, minor earthquakes occurred in the country in the last year were 2326.

3 0

3 years ago

1/13

levacccp [35]

Answer:

y=20-3x

Step-by-step explanation:

7 0

3 years ago