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3 years ago

What does x= ? In the triangle shown above

Mathematics

1 answer:

DaniilM [7]3 years ago

8 0

Your answer would be 34°.

This is because a triangle adds up to 180°.

So to find the missing side we work with what we do know.

We know that one side is 50° and the other side is 96°

To find our third side add up the two sides we do know so adding 96 and 50 together will get us 146.

Then we subtract 146 from 180° because 180° adds up to a triangle.

Subtract and you get an answer of 34°.

Have a great Day!

You might be interested in

The proportion of high school seniors who are married is 0.02. Suppose we take a random sample of 300 high school seniors; a.) F

cricket20 [7]

Answer:

a) Mean 6, standard deviation 2.42

b) 10.40% probability that, in our sample of 300, we find that 8 of the seniors are married.

c) 14.85% probability that we find less than 4 of the seniors are married.

d) 99.77% probability that we find at least 1 of the seniors are married

Step-by-step explanation:

For each high school senior, there are only two possible outcomes. Either they are married, or they are not. The probability of a high school senior being married is independent from other high school seniors. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$n = 300, p = 0.02$

a.) Find the mean and standard deviation of the sample count X who are married.

Mean

$E(X) = np = 300*0.02 = 6$

Standard deviation

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.02*0.98} = 2.42$

b.) What is the probability that, in our sample of 300, we find that 8 of the seniors are married?

This is P(X = 8).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{300,8}.(0.02)^{8}.(0.98)^{292} = 0.1040$

10.40% probability that, in our sample of 300, we find that 8 of the seniors are married.

c.) What is the probability that we find less than 4 of the seniors are married?

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{300,0}.(0.02)^{0}.(0.98)^{300} = 0.0023$

$P(X = 1) = C_{300,1}.(0.02)^{1}.(0.98)^{299} = 0.0143$

$P(X = 2) = C_{300,2}.(0.02)^{2}.(0.98)^{298} = 0.0436$

$P(X = 3) = C_{300,3}.(0.02)^{3}.(0.98)^{297} = 0.0883$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0023 + 0.0143 + 0.0436 + 0.0883 = 0.1485$

14.85% probability that we find less than 4 of the seniors are married.

d.) What is the probability that we find at least 1 of the seniors are married?

Either no seniors are married, or at least 1 one is. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

From c), we have that $P(X = 0) = 0.0023$ . So

$0.0023 + P(X \geq 1) = 1$

$P(X \geq 1) = 0.9977$

99.77% probability that we find at least 1 of the seniors are married

3 0

3 years ago

A hydrogen atom is about 5×10 to the -11 power

Olegator [25]

Factors are numbers that can be multiplied by an integer to obtain the desired integer

The size of the human hair is 1.0 × 10⁻⁴ meters

Reason:

The given parameters are;

The size of an hydrogen atom is 5 × 10⁻¹¹ meters

The width of the human hair is 6 times as big

Therefore, we have;

The width of the human hair is 2 × 10⁶ times as big, therefore, we have;

The size of the human hair = 5× 10⁻¹¹ × 2 × 10⁶ = 1.0 × 10⁻⁴

The size of the human hair is 1.0 × 10⁻⁴ meters

Learn more about factors here:

brainly.com/question/17176261

8 0

3 years ago

Which is the better by 8-foot of cord for $2.80or 9-foot piece of cord for $2.88

Dmitrij [34]

Answer:

9-foot piece is better deal by $0.03 per foot

Step-by-step explanation:

2.80/8 = $0.35 per foot (for 8-foot piece)

2.88/9 = $0.32 per foot (for 9-foot piece)

4 0

3 years ago

Read 2 more answers

Hi.Please its urgent See image for question Answer no 16 and 17

bagirrra123 [75]

9514 1404 393

Eexplanation:

16. Suppose the roots are α and kα. Then we can write the equation as ...

a(x -α)(x -kα) = 0

ax² -ax(α +kα) +akα² = 0

Comparing to the original equation, we can equate coefficients to get ...

b = -aα(1+k)
c = akα²

Solving the first for α gives ...

α = -b/(a(1+k)

Substituting into the second, we have ...

c = ak(-b/(a(1+k)))²

Multiplying by a(1+k)², we get ...

(1+k)²ac = kb²

Using k=2 gives ...

9ac = 2b² . . . . . as required

17. Using the previous result with k=1 (equal roots), we have ...

(1+k)²ac = kb²

4ac = b² . . . . . for k=1

______

Additional comment

We observed that the problems were similar, but had different factors relating the roots. So, we elected to solve the general case, then fill in the specific values for the two problems.

6 0

3 years ago

When you double my number and add five you get 17 what is my number

Alexeev081 [22]

the answer is 6, 6 times 2 is 12 plus 5 is 17

3 0

3 years ago

Read 2 more answers