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Elza [17]
3 years ago
14

Someone help me out please

Mathematics
2 answers:
Sphinxa [80]3 years ago
4 0

1. Right (equal 90°)

2. Acute (less than 90°)

3.Acute (less than 90°)

4.Obtuse (greater than 90°)

Gennadij [26K]3 years ago
3 0

Answer:

1.  Right

2. acute

3. acute

4. obtuse

Step-by-step explanation:

You might be interested in
Please help and thank you
kap26 [50]

Answer:

D is the answer

Step-by-step explanation:

The explenation is shown on the picture above.

5 0
3 years ago
Suppose the time to process a loan application follows a uniform distribution over the range of 8 to 13 days. What is the probab
Arlecino [84]

Answer: 0.2

Step-by-step explanation:

We know that , the probability density function for uniform distribution is given buy :-

f(x)=\dfrac{1}{b-a}, where x is uniformly distributed in interval [a,b].

Given : The time to process a loan application follows a uniform distribution over the range of 8 to 13 days.

Let x denotes the time to process a loan application.

So the probability distribution function of x for interval[8,13] will be :-

f(x)=\dfrac{1}{13-8}=\dfrac{1}{5}

Now , the probability that a randomly selected loan application takes longer than 12 days to process will be :-

\int^{13}_{12}\ f(x)\ dx\\\\=\int^{13}_{12}\dfrac{1}{5}\ dx\\\\=\dfrac{1}{5}[x]^{13}_{12}\\\\=\dfrac{1}{5}(13-12)=\dfrac{1}{5}=0.2

Hence, the probability that a randomly selected loan application takes longer than 12 days to process = 0.2

8 0
3 years ago
Q.1
MrMuchimi
The question regards composite functions. A composite function is a function composed of more than one function. Sorry for saying the word function so many times there, it's just what it is...

The phrase f(g(x)) means 'perform g on an input x, then perform f on the result'. You can then see that there are many options for f(x) and g(x) here, in fact an infinite number of one were to be ridiculous about it.

However a sensible choice might be g(x) = x^2, and f(x) = 2/x + 9. Checking:

g(x) = x^2
f(g(x)) = 2/(x^2) + 9

That is the first question dealt with. Next up is Q2. It is relatively simple to show that these functions are inverses. If you start with a value x, apply a function and then apply the function's inverse, you should return to the same starting value x. To take a common example, within a certain domain, sin^-1(sin(x)) = x.

f(g(x)) = (sqrt(3+x))^2 - 3 = 3 + x - 3 = x

g(f(x)) = sqrt(x^2 - 3 + 3) = sqrt(x^2) = x

A final note is that this is only true for a certain domain, that is x <= 0. This is because y = x^2 is a many-to-one function, so unrestricted it does not have an inverse. Take the example to illustrate this:

If x = -2, f(x) = (-2)^2 - 3 = 4 - 3 = 1

Then g(f(x)) =sqrt(1 + 3) = sqrt(4) = 2 (principal value).

However the question isn't testing knowledge of that.

I hope this helps you :)
4 0
3 years ago
It takes sam 3 hours to mow a lawn, and it takes greg 4 hours to mow a lawn. how long would it take for them to mow the lawn if
svetlana [45]

Answer:

wow

Step-by-step explanation:

8 0
3 years ago
Compare the integers –4, –1, 2, and 4.
Naddik [55]

Answer:

-1, -4, 2, 4

Step-by-step explanation:

The are ascending

8 0
3 years ago
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