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Fudgin [204]
3 years ago
10

Find all solutions of cos x -sqrt = 0.

Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

Option A

Step-by-step explanation:

Good question!

We assume that x lies on the interval 0<=x<=360. We can therefore identify the solution in degrees:

\cos \left(x\right)-\sqrt{1-3\cos ^2\left(x\right)}=0,\:0\le \:x\le \:360^{\circ \:}

Now we can solve by substitution, and when simplified we get cos(x) = 1/2.

Take the inverse: x = cos^-1(1/2) = π/3 <--- angle in first quadrant

                             x = (2π-π/3) = 5π/3 <----- angle in fourth quadrant

As you know π/3 in degrees is 60, and 5π/3 = 360-60 = 300

Therefore your solution is the first option, x = 60+n360 and x = 300 + n360

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The budget of a university organizations is split evenly among its various committees . if they have a budget of P 60.000 repres
Alla [95]

Answer:

m(n) = 60000

Amount = 60000/n

Step-by-step explanation:

Given

Budget = 60000

Solving (a) Represent as a function mn

To do this simple substitute m(n) for Budget.

This gives;

m(n) = 60000

Solving (b) Amount each committee will receive.

Since the amount will be shared evenly.

Amount = m(n)/n

Substitute 60000 for m(n)

Amount = 60000/n

4 0
3 years ago
Determine what comes next in the given pattern 41,39,37,35,33​
tester [92]

Answer:

31

Step-by-step explanation:

because if you subtract 39 from 41 that gives you the answer on how much if a difference there is

3 0
3 years ago
Read 2 more answers
The volume of a cone is 36 pi inches cubed. What is the volume of a cylinder with the same base and height as the cone? 12 pe in
nadya68 [22]

Answer:

108 pi

Step-by-step explanation:

The formula for volume of a cone is (1/3) * π * r² * h

36 pi = (1/3) * π * r² * h

108 pi= π * r² * h

108 =  r² * h

Formula for volume of a cylinder: πr²h

108 pi

6 0
3 years ago
The data depicted in a histogram show approximately a normal distribution if the distribution
Slav-nsk [51]

Answer:

bunches up in the middle and tapers off symmetrically at either end

Step-by-step explanation:

By definition a normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Because the data towards the mean is more frequent in occurrence, the graph peaks at the center. The data occurs less frequently at the tail ends of the distribution, thus the shape of the distribution is a bell shape that peaks at the center and tapers off towards the tails.  The key characteristic is that the distribution of data is perfectly symmetrical.

This is why the answer is:

The data depicted in a histogram show approximately a normal distribution if the distribution <u>bunches up in the middle and tapers off symmetrically at either end.</u>

4 0
4 years ago
The ancient Babylonians developed a method for calculating nonperfect squares by 1700 BCE. Complete the statements to demonstrat
Fynjy0 [20]

The steps taken to find the √5 using the ancient method is;

5/G1 = 2.5

5/G2 = 2.222

5/G3 = 2.236

We want to find √5 with the ancient Babylonian method for calculating non-perfect squares;

We are told that G1 = 2

Thus;

5/G1 = 2.5

We are told to average 2.25 and G2 to get 2.236

This means that;

(2.25 + G2)/2 = 2.236

2.25 + G2 = 2 × 2.236

G2 = 4.472 - 2.25

G2 = 2.222

Second step is;

5/G2 = 2.222

Finally;

5/G3 = 2.236

Read more about finding non-perfect squares at; brainly.com/question/9165533

5 0
2 years ago
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