All categories

3 years ago

If AB= 5 what is the exact length of BD in square ABCD

Mathematics

1 answer:

Afina-wow [57]3 years ago

5 0

Answer:

sqrt 50

Step-by-step explanation:

First of all this is a square so if AB = 5, then AD is also 5.

Let's get rid of the other triangle and only focus on triangle ABD.

Using Pythagorean theorem we are able to solve this problem.

The Pythagorean Theorem basically states that:

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.

Substitute these numbers in: 5^2 + 5+2 = c^2

Solve: 50 = c^2

c= sqrt 50

^ and that is our answer!

You might be interested in

Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time. The bank ha

love history [14]

Answer:

To be able to approximate the sampling distribution with a normal model, it is needed that $np \geq 10$ and $n(1-p) \geq 10$ , and both conditions are satisfied in this problem.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will make payments on time, or they won't. The probability of a person making the payment on time is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The sampling distribution can be approximated to a normal model if:

$np \geq 10$ and $n(1-p) \geq 10$

Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time.

This means that $p = 0.089$

The bank has recently approved 220 loans.

This means that $n = 220$

What must be true to be able to approximate the sampling distribution with a normal model?

$np = 220*0.089 = 19.58 \geq 10$

$n(1-p) = 220*0.911 = 200.42 \geq 10$

To be able to approximate the sampling distribution with a normal model, it is needed that $np \geq 10$ and $n(1-p) \geq 10$ , and both conditions are satisfied in this problem.

3 0

2 years ago

Pls i need help on these I HAVE BEEN STUCK

pochemuha

Answer:

C for Question 3

B for Question 4

8 0

2 years ago

The equation A = 125 gives the amount, in grams, of a radioactive substance

Helen [10]

Answer:

y=125a+1

Step-by-step explanation:

4 0

3 years ago

3x + 5 = 45° + x

stira [4]

Answer:

3x + 5 = 45° + x

In here we can fine like terms by putting the unknown terms together and the whole numbers together example:

3x - x = 45 - 5

After that you can get the value of x

So,

2x = 40

x = 20

4 0

2 years ago

What Is the Title<br> of This Picture?

dem82 [27]

Please post the picture.

3 0

2 years ago

If AB= 5 what is the exact length of BD in square ABCD ​

If AB= 5 what is the exact length of BD in square ABCD