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3 years ago

Find the measure of angle A. Round your answer to the nearest hundredth.

Mathematics

2 answers:

Maksim231197 [3]3 years ago

6 0

Answer:

40.60 degrees to the nearest hundredth.

Step-by-step explanation:

Tan A = opposite side / adjacent side = 6/7'

The angle whose tangent is 6/7 is 40.60 degrees.

alina1380 [7]3 years ago

4 0

Answer:

Angle A = 40.6°

Step-by-step explanation:

For any right angle triangle we know the Pythagoras theorem reveals

Hypotenuse² = Height²+Base²

By this formula we will calculate the length of Hypotenuse

H² = 6²+7²

⇒ H =√36+49 = √85 = 9.22

Now from the given triangle sin A = Height/ Hypotenuse

sin A = 6/9.22 = 0.651

Therefore $A = sin^{-1}(.651) = 40.6$

So angle A = 40.6°

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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

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3 years ago

State and prove Bayes Theorem

Delvig [45]

Answer:

Bayes’ Theorem describes the probability of occurrence of an event related to any condition. It is also considered for the case of conditional probability.

For prove refer to the attachment.

Hope this helps you^_^

3 0

2 years ago

What is the product in simplest form x^2+9x+18/x+2 times x^2-3x-10/x^2+2x-24

german

$\dfrac{x^2+9x+18}{x+2}\cdot\dfrac{x^2-3x-10}{x^2+2x-24}=\dfrac{x^2+6x+3x+18}{x+2}\cdot\dfrac{x^2-5x+2x-10}{x^2+6x-4x-24}\\\\=\dfrac{x(x+6)+3(x+6)}{x+2}\cdot\dfrac{x(x-5)+2(x-5)}{x(x+6)-4(x+6)}$

$=\dfrac{(x+6)(x+3)}{x+2}\cdot\dfrac{(x-5)(x+2)}{(x+6)(x-4)}=\dfrac{(x+3)(x-5)}{x-4}\\\\=\dfrac{x^2-5x+3x-15}{x-4}=\dfrac{x^2-2x-15}{x-4}$

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2 years ago

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Percent equations the question is blank % of 75 = 30

lubasha [3.4K]

Answer:

Step-by-step explanation:

30/75 = .4

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____ is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect inf

Tanya [424]

Answer:

Sampling is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect information about the entire set of subjects of interest to them.

Step-by-step explanation:

Sampling is done because you usually cannot gather data from the entire population. Even in relatively small populations, the data may be needed urgently, and including everyone in the population in your data collection may take too long.

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2 years ago