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3 years ago

Cos(3x)=Sqaure roote 2 / 2

Mathematics

1 answer:

Tems11 [23]3 years ago

6 0

$\huge\rightarrow{{ \underline{ Answer \: \: ✓ }}}$

<h3 />

$\huge\boxed{x = 15°}$

<h3 /><h3>Solution : </h3>

$\cos(3x) = \dfrac{ \sqrt{2} }{2}$

$\cos(3x) = \dfrac{1}{ \sqrt{2} }$

$\cos(3x) = \cos(45)$

$3x = 45$

$x = 15$

The measure of x = 15°

$\#TeeNForeveR$

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Explain how you could use either of two operation to solve exercise 10.

zheka24 [161]

You want to know the factor by which 3 2/3 is multiplied to get 7 1/3.

1. You can estimate that it is 2 from 7/3 ≈ 2, then check by multiplication to see if that is right.
.. 2*(3 2/3) = 6 4/3 = 7 1/3 . . . . 2 is the correct factor.

2. You can divide 7 1/3 by 3 2/3 to see what the factor is.
.. (7 1/3)/(3 2/3) = (22/3)/(11/3) = 22/11 = 2 . . . . 2 is the factor Earl used.

3. You could see how many times you can subtract 3 2/3 from 7 1/3.
.. 7 1/3 -3 2/3 = (7 -3) +(1/3 -2/3) = 4 -1/3 = 3 2/3 . . . . . subtracting once gives 3 2/3
.. 3 2/3 -3 2/3 = 0 . . . . . . subtracting twice gives 0, so the factor is 2.

4. You could add 3 2/3 to see how many times it takes to get 7 1/3.
.. 3 2/3 +3 2/3 = (3 +3) +(2/3 +2/3) = 6 +4/3 = 7 1/3
We only need to add two values of 3 2/3 to get 7 1/3, so the factor is 2.

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We have shown methods using multiplication, division, subtraction, addition. Take your pick.

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3 years ago

How many hours he worked

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divide 8.5 from both sides
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3 years ago

The radius of a circle is 12 miles. What is the angle measure of an arc bounding a sector with area 10 square miles?

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3 years ago

fam can swim a lap in 29 2/5 seconds. cuteboujee can swim a lap in 28.7 seconds. how much faster can cuteboujee swim a lap than

natima [27]

Answer:

0.7 seconds

Step-by-step explanation:

You have to subtract both lap times, but before doing so you need to know what 2/5 is in decimal form. To do so, you must do 2 divided by 5, getting 0.4 seconds as it's a fraction converting to decimal. This means Fam swam 29.4 seconds, which instead of 2/5, you have 0.4 as your converted answer, so you would substitute it after 29. Then, you would do 29.40 subtracted by 28.7 and get 0.7 seconds as your answer to find out the difference of their swim times.

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3 years ago

. Attendance at the drama play was 140% of attendance at the concert. How many people came to the drama play?

vivado [14]

This question is incomplete

Complete Question

A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. How many people came to each of the other activities?

Attendance at the drama play was 140% of attendance at the concert. How many people came to the drama play?

Answer:

350 people

Step-by-step explanation:

Percentage of people that attended a drama play =

Number of people that attended the drama play/Total number of people at the concert × 100

Attendance at the drama play was 140% of attendance at the concert.

The music concert was attended by 250 people

Let the number of people that came to the drama play = x

Hence:

140% = x/250 × 100

140/100 = x/250

Cross Multiply

140 × 250 = 100 × x

x = 140 × 250/100

x = 350 people

Therefore, the number of people that came to the drama play = 350 people

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3 years ago