All categories

3 years ago

A

Mathematics

1 answer:

rjkz [21]3 years ago

3 0

The other leg is 12cm long.

Step-by-step explanation:

Given,

Hypotenuse = c = 15cm

One leg = a = 9cm

Other leg = b

As the triangle is right angled, therefore, using Pythagoras theorem;

$a^2+b^2=c^2\\(9)^2+b^2=(15)^2\\81+b^2=225\\b^2=225-81\\b^2=144\\$

Taking square root on both sides;

$\sqrt{b^2} =\sqrt{144} \\b=12\ cm$

The other leg is 12cm long.

Keywords: triangle, square root

Learn more about triangles at:

#LearnwithBrainly

You might be interested in

Which number produces an irrational number when added to 0.4

erastovalidia [21]

Answer:

0.31311311131111....

Step-by-step explanation:

We need to tell a number which when adds to 0.4 makes it a Irrational Number . We know that ,

Rational number :- The number in the form of p/q where p and q are integers and q is not equal to zero is called a Rational number .

Irrational number :- Non terminating and non repeating decimals are called irrational number .

Recall the property that :-

Property :- Sum of a Rational Number and a Irrational number is Irrational .

So basically here we can add any Irrational number to 0.4 to make it Irrational . One Irrational number is ,

$\rm\implies Irrational\ Number = 0.31311311131111...$

So when we add this to 0.4 , the result will be Irrational . That is ,

$\rm\implies 0.4 + 0.31311311131111 ... = 0.731311311131111 ..$

6 0

3 years ago

Read 2 more answers

PLEASE HELP me with this question

boyakko [2]

Answer:

EC/BC = DE/AB

Step-by-step explanation:

There are multiple answers for this, but this should work as well. EC is proportional to BC, and AB is proportional to DE, so one answer is: EC/BC = DE/AB

6 0

2 years ago

WHAT IS THE SOLUTION TO 5-2N= 17

ryzh [129]

N is equal to 11 because 5-2n=17 would be changed into 2n-5=17 because it would be -17 if it was the original problem so that is why

7 0

3 years ago

Read 2 more answers

If Alfie tosses the paper cup more times, what is the expected number of times that the cup will land on its side?

IRINA_888 [86]

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

Right side up = 60 Upside down = 53 Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

$Right = 60$

$Upside\ down = 53$

$Side = 37$

Required

First, we calculate the probability of landing on side

$P(Side) = \frac{n(Side)}{Total}$

$P(Side) = \frac{37}{150}$

$P(Side) = 0.247$

Next, we calculate the expected value; E(x) using:

$E(x) = n * P(x)$

When tossed 100 more times:

n = 100 and P(x) = P(Side) = 0.247

So:

$E(x) = 100 * 0.247$

$E(x) = 24.7$

$E(x) = 25$ --- approximated

Hence, it is expected that it will land on its side 25 times

3 0

3 years ago

Need answer quick please

attashe74 [19]

Answer:

Step-by-step explanation:

mean is also known as the average

to find the average you add up every data point and divide by number of data points.

74 + 75 + 80 + 76 + 75 + 81 + 78 = 539

539 / 7 = 77

6 0

3 years ago