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3 years ago

Which two values of x satisfy the equation square root 3-2cos x = 2?

Mathematics

1 answer:

Andrei [34K]3 years ago

8 0

Answer: x=2π/3 and x=4π/3

Step-by-step explanation:

The equation we have is $\sqrt{3-2cosx} =2$ . All we have to do is get cosine alone to find the 2 values of x.

$3-2cosx=4\\-2cosx=1\\cosx=-\frac{1}{2}$

Now that we have our cosine left, we can use our unit circle to figure out when does cosx=-1/2. Cosine is the x value of the coordinate.

x=2π/3

x=4π/3

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2. Lab groups of three are to be randomly formed (without replacement) from a class that contains five engineers and four non-en

Anna11 [10]

Answer:

The number of different lab groups possible is 84.

Step-by-step explanation:

Given:

A class consists of 5 engineers and 4 non-engineers.

A lab groups of 3 are to be formed of these 9 students.

The problem can be solved using combinations.

Combinations is the number of ways to select k items from a group of n items without replacement. The order of the arrangement does not matter in combinations.

The combination of k items from n items is: ${n\choose k}=\frac{n!}{k!(n-k)!}$

Compute the number of different lab groups possible as follows:

The number of ways of selecting 3 students from 9 is = ${n\choose k}={9\choose 3}$

$=\frac{9!}{3!(9 - 3)!}\\=\frac{9!}{3!\times 6!}\\=\frac{362880}{6\times720}\\ =84$

Thus, the number of different lab groups possible is 84.

8 0

3 years ago

Please help! i will mark brainliest

Dominik [7]

5 then 11 then .2 in as decimal

Pls mark branliest!

3 0

3 years ago

If 37.5% of the 600 shoppers stated they would buy the new flavor, how many of the 600 would buy it?

Vinvika [58]

Answer:

225 lo comprarían

Step-by-step explanation:

Para sacar el porcentaje se multiplica el numero por el porcentaje y dividir entre 100

37.5x600/100

37.5x 600= 22, 500

22,500/100= 225

225 lo comprarían 

3 0

3 years ago

A circular garden has a circumference of 40 yards.Lars is dighing a straight line along a diameter of the garden at a rate of 5

gayaneshka [121]

Answer:

8 Hours

Step-by-step explanation:

40 divide by 5 is 8

7 0

4 years ago

Please help 4% of 3.5km = ?

ad-work [718]

We can first change 4% to a decimal by dividing by 100:

$\frac{4}{100}=0.04$

Then we can multiply this by 3.5km:

$0.04*3.5km=0.14km$

So now we know that 4% of 3.5km is 0.14km.

5 0

4 years ago