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3 years ago

I need help answering these problems

Mathematics

1 answer:

IceJOKER [234]3 years ago

4 0

Answer:

6. $\displaystyle \frac{33}{56} ≈ 0,5892857142... = tan\:B$

5. $\displaystyle \frac{56}{65} ≈ 0,8615384615... = cos\:B$

4. $\displaystyle \frac{33}{65} ≈ 0,5076923076... = sin\:B$

3. $\displaystyle 1\frac{23}{33} ≈ 1,696969... = tan\:A$

2. $\displaystyle \frac{33}{65} ≈ 0,5076923076... = cos\:A$

1. $\displaystyle \frac{56}{65} ≈ 0,8615384615... = sin\:A$

Explanation:

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

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5 - 3tan3x = 0 trên -π< x < π.

serious [3.7K]

Answer:

x = 0.343

Step-by-step explanation:

We want to solve:

5 - 3tan(3x) = 0

such that:

-π< x < π

where π = 3.14

then:

-3.14 < x < 3.14

Let's solve the equation:

5 - 3tan(3x) = 0

-3tan(3x) = -5

tan(3x) = -5/-3 = 5/3

Now we can use the inverse tan function, Atan(x).

Remember that:

Atan( tan(x) ) = tan( Atan(x)) = x

Then if we apply that function to both sides, we get:

Atan( tan(3x)) = Atan(5/3)

3x = Atan(5/3)

x = Atan(5/3)/3 = 0.343

4 0

3 years ago

A USA Today/Gallup poll asked a group of unemployed and underemployed Americans if they have had major problems in their relatio

Tems11 [23]

Answer:

Null hypothesis: H₀: p₁ = p₂.

Alternate hypothesis: H₀: p₁ ≠ p₂.

Step-by-step explanation:

A statistical experiment is conducted to determine whether the proportions of unemployed and underemployed people who had relationship problems were different.

Let p₁ = the proportion of unemployed people who had relationship problems and p₂ = the proportion of underemployed people who had relationship problems.

A hypothesis test for difference between proportions, can be conducted to determine if there is any difference between the two population proportions.

Use a z-test for the test statistic.

The hypothesis test is:

H₀: There is no difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. p₁ = p₂.

Hₐ: There is a significant difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. p₁ ≠ p₂.