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Andrew [12]
3 years ago
13

Solve the following equation on the interval [0,2 \pi) Cot(3x)=\sqrt{3}

Mathematics
1 answer:
Orlov [11]3 years ago
4 0
Cot(3x)=3^(1/2)

cot(x)= cos(x)/sin(x)

cot(3x)= cos(3x)/sin(3x)

look at a unit circle chart

find a value for cos that has sqrt(3) in it

which one will reduce so that the cos/sin will equal sqrt(3)?

pi/6 radians

now cot(3x) implies that x is one third this value

pi/18 is the answer
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anzhelika [568]

Answer:

Step-by-step explanation:

We are going the use the revolve constructive geometry operation

Step one:

Knowing fully well that the simple mug has a cylindrical shape, and all preliminary settings are in place, like the units may be in inches or mm.

We first need to draft out the section of the mug, this will look like an "L" shape with thickness set to whatever dimension you may have in mind.

The next in line is to create an axis using a construction line parallel to the L shape.

Then use the revolve tool to create the cylindrical shape by selecting the axis as the reference of rotation and the angle of rotation set to 360 degrees.

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3 years ago
Ella wants to use the commutative property of multiplication to help find the product 5×2 what number sentence can she use
faust18 [17]
She can use 2x5 because that is the commutative property. commutative property of multiplication states that two numbers can be multiplied in either order, for example, 3x15 can also be multiplied in this way: 15x3. they will both make the same answer: 45
5 0
3 years ago
June was thinking of a number. June doubles it and gets an answer of 98.9. What was the original number?
photoshop1234 [79]

Answer: 49.45

Step-by-step explanation:

From the information, we are informed that June was thinking of a number and then doubles it and gets and gets an answer of 98.9.

Let the number be represented by x.

Since she doubles it, thus implies that:

2x = 98.9

x = 98.9 / 2

x = 49.45

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3 0
3 years ago
Ab+y dided by (48+67) if a=19 B=10 y= 19
yulyashka [42]

(ab+y)/(48+67)

(19*10+19)/115

205/115

1.817...

4 0
3 years ago
Read 2 more answers
After performing 1 simulation as the first step in her significance test, Emma does 99 more. For each simulation, she randomly r
devlian [24]

Using the histogram, it is found that the percentage of simulations is the average for group A at least 1.6 higher than the average for group B is given by:

A: 1.

<h3>What is an histogram?</h3>

An histogram is a graph that shows the <u>number of times each element of x was observed</u>.

In this problem, the histogram shows that out of the 100 simulations, only 1 had a difference of at least 1.6, as the bin corresponding to [1.6, 2] has value of 1 and the bins to the right of this have values of 0.

Hence, the percentage is given by:

P = 1/100 x 100% = 1%.

Which means that option A is correct.

More can be learned about histograms at brainly.com/question/25836450

5 0
2 years ago
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