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Shtirlitz [24]
3 years ago
6

What is the length of the unknown leg in the right triangle? A triangle with side 21 centimeters, hypotenuse 29 centimeters, and

side a.
Mathematics
2 answers:
Rom4ik [11]3 years ago
6 0

Answer:

20 cm

Step-by-step explanation:

So to start off we know the hypotenuse is 29 and one leg is 21.

And we the the hypotenuse in an equation is c and the one leg can be b or a but in this situation it is b.

So when putting it into the equation which looks like this.

a^2+ 21^2 = 29^2

We then square 21 and 29 which gets us 441 and 841.

Then to solve an equation we subtract 441 into 841 which gets us 400.

So our equation looks like this now.

a^2 = 400

Now to get rid of the square we find the square root of both sides.

For a squared it cancels the square out and makes it just a and the square root of 400 is 20.

Hence, a the missing led is 20cm.

tensa zangetsu [6.8K]3 years ago
3 0

Answer:

20

Step-by-step explanation:

IDK how to explain it, but I hope having the answer helps..?

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Ryan and his best friend found some money under the couch. They split the money evenly, each friend is getting $15. How much mon
tatyana61 [14]

2 people, ryan and best friend


if split evenly, they divided it by 2

as a result, each go 15

that means moneyfound/2=15

multiply both sides by 2

moneyfound=15*2=30

they found $30

5 0
3 years ago
The probability that a certain hockey team will win any given game is 0.3773 based on their 13 year win history of 389 wins out
notsponge [240]

Answer:

0.8895 = 88.95% probability that the hockey team wins at least 3 games in November.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the teams wins, or they do not win. The probability of the team winning a game is independent of any other game, which means that the binomial probability distribution is used 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 probability that a certain hockey team will win any given game is 0.3773.

This means that p = 0.3773

Their schedule for November contains 12 games.

This means that n = 12

Find the probability that the hockey team wins at least 3 games in November.

This is:

P(X \geq 3) = 1 - P(X < 3)

In which:

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

So

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

P(X = 0) = C_{12,0}.(0.3773)^{0}.(0.6227)^{12} = 0.0034

P(X = 1) = C_{12,1}.(0.3773)^{1}.(0.6227)^{11} = 0.0247

P(X = 2) = C_{12,2}.(0.3773)^{2}.(0.6227)^{10} = 0.0824

Then

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0034 + 0.0247 + 0.0824 = 0.1105

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.1105 = 0.8895

0.8895 = 88.95% probability that the hockey team wins at least 3 games in November.

3 0
3 years ago
Translate the following statement to an inequality.
Aliun [14]
The answer should be x≤7
6 0
3 years ago
Read 2 more answers
15.
Lady bird [3.3K]

Answer:

$59.99

Step-by-step explanation:

11% of $59.99 is $6.60. $59.99+$6.60=66.59

3 0
3 years ago
The graph of the step function g(x) = –⌊x⌋ + 3 is shown. What is the domain of g(x)? {x| x is a real number} {x| x is an integer
allsm [11]

Answer:

Option A is correct.

The domain of the g(x) is {x | x is a real number}

Step-by-step explanation:

The graph of the step function: g(x)=-\left \lfloor x \right \rfloor +3


Floor function is defined as the function that gives the highest integer less than or equal to x.

The graph of function: g(x)=-\left \lfloor x \right \rfloor +3  where x is the independent variable as shown below;

Domain of any function is the complete set of possible values of the independent variable

Therefore, the domain of the function g(x) is the set of all real numbers or we can represent this as  {x | x is a real number}.

3 0
3 years ago
Read 2 more answers
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