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1 year ago

Anyone know how to do this?

Mathematics

2 answers:

lesya [120]1 year ago

6 0

To solve this, we need to use our trignometric functions;

⇒ look at the diagram attached

Let's examine what the problem wants:

hypotenuse (longest side) of the triangle

Let's examine what the problem gives us:

side adjacent to the 45-degree angle
angle that has measure of 45-degrees

Let's solve:

$sin(45)=\frac{5}{x} \\5=x*sin(45)\\x = \frac{5}{sin(45)} \\x=7.07$

Answer: 7.1 (rounded to nearest tenth)

Hope that helps!

Sidana [21]1 year ago

3 0

Answer:

$5\sqrt2$

Step-by-step explanation:

This is a 45-45-90 triangle so we can find all the side lengths easily.

The ratio between the base and the hypotenuse of a 45-45-90 triangle is $1:\sqrt2$ , which means for this triangle it would be $5:5\sqrt2$ . This means the length of the hypotenuse is $5\sqrt2\\$ , which is $x$ , which is the answer.

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Alex and bob are playing 5 chess games. Alex is 3 times more likely to win than bob. What is the probability that both of them w

givi [52]

Answer:

12.2%

Step-by-step explanation:

Lets firstly find out the probabilities for Alex and Bob. We know that the prb that Alex wins is 3 times the prob for Bob, so:

P(A) = 3P(B)

And, as these values are probabilities they must sum 1:

P(A) + P(B) = 1

Replacing the first equation in the second:

3P(B) + P(B) = 1

4P(B) = 1

Dividing both sided by 4:

4P(B)/4 = 1/4

P(B) =1/4

So, the probability for Bob is 1/4. Then the probability for Alex is 3*1/4 = 3/4

Now we have to find the probability that both win at least two games. Lets think about the possible combination of cases. As they play 5 games and both have to win at least to there is a remaining game that cane variate, this is, can be won by Alex or Bob. So, we can have:

AABBB

AABBA

Where A is "Alex win" and B is "Bob win" (here we do not pay attention to the order).

Thus, we have to find the probability that Alex wins 3 games and Bob 2 games, and the probability that Alex wins 2 games and Bob 3 games. As the games are independent, i.e., the result of one games does not affect the followings we can just multiply the probabilities:

P(3A and 2B) = (3/4)*(3/4)*(3/4)*(1/4)*(1/4) = 0.42*0.06 = 0.026

P(2A and 3B) = (3/4)*(3/4)*(1/4)*(1/4)*(1/4) = 0.56*0.016 = 0.096

So,

P (at least 2) = P(3A and 2B) + P(2A and 3B) = 0.026 + 0.096 = 0.122 = 12.2%

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2 years ago

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Answer:I think it might be c

Step-by-step explanation:

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2 years ago

Volume of a cube is 343cm³ . Then the total surface area of the cube is _______ cm². *

MissTica

Answer:

A≈294cm²

-hope this helped

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2 years ago

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In a continuous series, mean(x) = 80, assumed mean(A) = 60 and EF=40 then find the value of EFd.

Aneli [31]

Using the given information, the value of Σfd is 800

<h3>Calculating mean using Assumed mean </h3>

From the question, we are to determine the value of Σfd

The formula for mean, using the assumed mean method is given by

$\bar x = A + \frac{\sum fd}{\sum f}$

Where $\bar x$ is the mean

A is the assumed mean

From the given information,

$\bar x = 80$

$A = 60$

$\sum f = 40$

Putting the parameters into the equation, we get

$80 = 60 + \frac{\sum fd}{40}$

$80-60 = \frac{\sum fd}{40}$

$20 = \frac{\sum fd}{40}$

$\sum fd = 20 \times 40$

$\sum fd = 800$

Hence, the value of Σfd is 800

Learn more on Mean here: brainly.com/question/20118982

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1 year ago

Which of the following steps can be performed so that the square root property may easily be applied to 2x2 = 16? (1 point)

Ivan

Answer:

$\Large \boxed{\mathrm{Option \ 2}}$

Step-by-step explanation:

$2x^2 =16$

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.

The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.

Dividing both sides by 2.

$\displaystyle \frac{2x^2 }{2} =\frac{16}{2}$

$x^2 =8$

Taking the square root of both sides.

$\sqrt{x^2 } =\pm \sqrt{8}$

$x=\pm 2\sqrt{2}$

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2 years ago

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