Ask question

Ask question

All categories

3 years ago

9

The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse?

1 answer:

Rina8888 [55]3 years ago

8 0

A² + b² = c²

Where a and b are the legs and c is the hypotenuse

So, plug in 10 for one of the legs and 24 for the other leg

c will be left blank because that is what you are trying to find, the hypotenuse

10² + 24² = c²

100 + 576 = c²

676 = c²

Take the square root of both sides of the equation to isolate c

√676 = √c²

Square of c and the square root cross out on the right

Take the square root of 676

c = 26

So, the length of the hypotenuse is 26 centimeters

You might be interested in

A probability distribution for a random variable Y is given by P(Y=y)=cy, for y=1,2,4,5 and c is a constant. Find E(Y), the expe

Dahasolnce [82]

Answer:

$c(1+2+4+5) =1$

$c =\frac{1}{12}$

Now we can find the expected value with this formula:

$E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i$

And replacing we got:

$E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}$

Step-by-step explanation:

For this case we know the following probability mass function given:

$P(y) = cy , y= 1,2,4,5$

For this case we need to satisfy the following condition in order to have a probability distribution function:

$\sum_{i=1}^n P(y_i) =1$

And we have this:

$c(1+2+4+5) =1$

$c =\frac{1}{12}$

Now we can find the expected value with this formula:

$E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i$

And replacing we got:

$E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}$

6 0

3 years ago

Find the axis of symmetry for the quadratic y=6x +12x+20

USPshnik [31]

It’s not a conic section so there’s no axis of symmetry

7 0

3 years ago

Which statement about the functions Is true

jarptica [38.1K]

Answer:

the first option is the correct answer

8 0

3 years ago

Which decimal round to 17.29 when rounding to the nearest hundredth

forsale [732]

The nine

Or is it asking for the number it was before it was rounded from the hundreths?

6 0

3 years ago

Read 2 more answers

Can you guys help plss

Sladkaya [172]

Answer:

SN = $\sqrt{49}$ = 7

Step-by-step explanation:

SN² + 24² = 25²

SN² + 576 = 625

SN² = 49

SN = $\sqrt{49}$

4 0

3 years ago