All categories

2 years ago

Find the length of the third side. If necessary, write in simplest radical form. 10 5

Mathematics

1 answer:

Murljashka [212]2 years ago

4 0

Answer:

x= $5\sqrt{5}$

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a= 10 and b =5 are the lengths of the legs of a right triangle and c= x is the length of the hypotenuse, then t<u>he sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. </u>

This relationship is represented by the formula:

$a^{2} + b^{2} = c^{2}$ => $10^2 +5 ^2 = x^2$

=> 100 + 25 = $x^2$

=> $\sqrt{125}$ = x => $\sqrt{25} \sqrt{5}$ = x

=> x= 5 $\sqrt{5}$

You might be interested in

What’s 15/25 in its simplest form?

dexar [7]

Answer: 3/5

Step-by-step explanation: Just divide both by 5.

8 0

2 years ago

Which of the following is the inverse of the given function? <br><br> y= 3x^5-4

ziro4ka [17]

I hope this helps you

y+4/3=x^5

x= (y+4/3)^1/5

f^-1(x)=(x+4/3)^1/5

8 0

2 years ago

The regular price of a basketball was $29.50. The basketball was on sale for 22% off. How much was the discount?

Nimfa-mama [501]

First we divide it by 100 to get 1% of the original price, which is $0.295.
Then we multiply that by 22 to get 22% of the original price: $6.49.
The discount was $6.49, hope this helps!

8 0

3 years ago

Bruce is solving a system of equations.

Valentin [98]

Answer:

Option 3,4,5 are correct.

Step-by-step explanation:

The system of equations are:

$3x+5y=9\,\,\,\,(1)\\x-y=-5\,\,\,\,(2)$

Multiply equation (2) with -3 and add with equation (1)

$3x+5y=9\\-3x+3y=15\\-------\\8y=24\\y= 24/8\\y=3$

Value of y is 3

Putting value of y in eq(2)

$x-y=-5\\x-3=-5\\x=-5+3\\x=-2$

Value of x is -2

So, Option 3,4,5 are correct.

Keywords: System of Equations

Learn more about System of Equations at:

#learnwithBrainly

7 0

3 years ago

Hannah had dinner at her favorite restaurant. If the sales tax rate is 4% and the sales tax on the meal came to $1.25, what was

Naddika [18.5K]

4% of 25 is 1 so we know it is only a bit more than 25 dollars for the original dinner. 4% of 30 is 1.2 so we know we are close. If we go a little higher, to 31, it is 1.24, and calculating 4% of 32 is 1.28, too much. We could try 31.5, but that is 1.26, too much. Trying with 31.25 gets us to 1.25. This is the right answer but we still need a tip. So we take the decimal point in 32.50, the total bill, and move it one place to the left, giving us 3.25, which is 10% of the bill. However, we need 20% so we should multiply 3.25 by 2, which is 6.50. 6.50 is the tip, so we should add that to the cost. This is 32.50+6.50, or $39.00. All in all, Hannah's meal cost 39 dollars.

6 0

3 years ago