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3 years ago

Trigonometry is hard someone help Please :)

Mathematics

1 answer:

vlada-n [284]3 years ago

7 0

<h3>Answer: Approximately 35.54 degrees</h3>

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Explanation:

With respect to reference angle x, the 5 is the opposite side, and the adjacent side is 7 units long.

We'll use the tangent ratio here

tan(angle) = opposite/adjacent

tan(x) = 5/7

x = arctan(5/7)

x = 35.5376777919743 approximately

x = 35.54

I rounded to two decimal places, but you can round however you need to or however your teacher instructs. Arctangent is the same as inverse tangent. Be sure that your calculator is in degree mode.

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M is the midpoint of LN. What is the measure of LM= 3x and LN= 2x + 2, find LM.

raketka [301]

Answer:

LM = 1.5

LN = 3

Step-by-step explanation:

From the question given:

M is the midpoint of LN

LM = 3x

LN= 2x + 2

LM =.?

Next, we shall determine the value of x. This is illustrated below:

Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e

LN /2 = LM

With the above formula, we can obtain the value of x as follow:

LN= 2x + 2

LM = 3x

x =..?

LN /2 = LM

2x + 2/ 2 = 3x

Cross multiply

2 × 3x = 2x + 2

6x = 2x + 2

Collect like terms

6x - 2x = 2

4x = 2

Divide both side by 4

x = 2/4

x = 0.5

Finally, we can obtain LM and LN as follow:

LM = 3x

x = 0.5

LM = 3 × 0.5

LM = 1.5

LN= 2x + 2

x = 0.5

LN = 2(0.5) + 2

LN = 1 + 2

LN = 3

4 0

3 years ago

A researcher uses an anonymous survey to investigate the television-viewing habits of American adolescents. Based on the set of

kow [346]

Answer:

The answer is - sample.

Step-by-step explanation:

Based on the set of 356 surveys that were completed and returned, the researcher finds that these students spend an average of 3.1 hours each day watching television.

For this study, the set of 356 students who returned the surveys is an example of a SAMPLE.

A sample is defined as a small part that shows what the whole population is like.

8 0

3 years ago

The cube of twice a number.

notsponge [240]

Answer

Step-by-step explanation:

Wheres The Question

7 0

3 years ago

A random variableX= {0, 1, 2, 3, ...} has cumulative distribution function.a) Calculate the probability that 3 ≤X≤ 5.b) Find the

olchik [2.2K]

Answer:

a) P ( 3 ≤X≤ 5 ) = 0.02619

b) E(X) = 1

Step-by-step explanation:

Given:

- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:

$F(X) = P ( X =< x) = 1 - \frac{1}{(x+1)*(x+2)}$

Find:

a.Calculate the probability that 3 ≤X≤ 5

b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that

Solution:

- The CDF gives the probability of (X < x) for any value of x. So to compute the P ( 3 ≤X≤ 5 ) we will set the limits.

$F(X) = P ( 3=$

- The Expected Value can be determined by sum to infinity of CDF:

E(X) = Σ ( 1 - F(X) )

$E(X) = \frac{1}{(x+1)*(x+2)} = \frac{1}{(x+1)} - \frac{1}{(x+2)} \\\\= \frac{1}{(1)} - \frac{1}{(2)}\\\\= \frac{1}{(2)} - \frac{1}{(3)} \\\\= \frac{1}{(3)} - \frac{1}{(4)}\\\\= ............................................\\\\= \frac{1}{(n)} - \frac{1}{(n+1)}\\\\= \frac{1}{(n+1)} - \frac{1}{(n+ 2)}$

E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]

E(X) = 1

8 0

3 years ago

Use the discriminant to describe the roots of each equation. Then select the best description?

Nitella [24]

Answer:

The roots are real and irrational

Step-by-step explanation:

* Lets explain what is the discriminant

- In the quadratic equation ax² + bx + c = 0, the roots of the

equation has three cases:

1- Two different real roots

2- One real root or two equal real roots

3- No real roots means imaginary roots

- All of these cases depend on the value of a , b , c

∵ The rule of the finding the roots is

x = [-b ± √(b² - 4ac)]/2a

- The effective term is √(b² - 4ac) to tell us what is the types of the root

# If the value under the root b² - 4ac positive means greater than 0

∴ There are two different real roots

# If the value under the root b² - 4ac = 0

∴ There are two equal real roots means one real root

# If the value under the root b² - 4ac negative means smaller than 0

∴ There is real roots but the roots will be imaginary roots

∴ We use the discriminant to describe the roots

* Lets use it to check the roots of our problem

∵ x² - 5x - 4 = 0

∴ a = 1 , b = -5 , c = -4

∵ Δ = b² - 4ac

∴ Δ = (-5)² - 4(1)(-4) = 25 + 16 = 41

∵ 41 > 0

∴ The roots of the equation are two different real roots

∵ √41 is irrational number

∴ The roots are real and irrational

* Lets check that by solving the equation

∵ x = [-(-5) ± √41]/2(1) = [5 ± √41]/2

∴ x = [5+√41]/2 , x = [5-√41]/2 ⇒ both real and irrational

5 0

3 years ago

Read 2 more answers