Here three sides of a right angled triangle given.
The three sides are b, 8 and 14.
The side with length 14 is the hypotenuse here. We have to find the side of length b.
To get b, we will use Pythagoras theorem here.
By using Pythagoras theorem we can write,
, where c is the hypotenuse.
So here we can write,
To solve it for b, now we have to move 64 to the left side by subtracting it from both sides.
Now to find b, we have to take square root to both sides. We will get,
We have got the required answer for the side b.
The relationship between the 6's in 7,664 is that it can be 600 and 60.
Answer:
In order to write this in scientific notation, we must move the decimal from the beginning all the way to between the 5 and the 9
Note: you can move the decimal anywhere you want but typically scientific notation will have the decimal in between the first and second digit.
Since we move the decimal 24 digits to the right, our answer will be
5.972 * 10^24
or
5.972E24
Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!
<h2>
Hello!</h2>
The answer is:
The first option:
<h2>
Why?</h2>
From the statement, we know the dimensions of the box, and the length of the sides to be cut (x).
So,
Working with the length of the box, we have:
Let be 8 the length of the cardboard for the length of the box, so, if we cut out the side of length "x", we have:
Now,
Working with the width of the box, we have:
Let be 6 the length of the cardboard for the width of the box, so, if we cut out the side of length "x", we have:
Now that we already know the length and the width of the box, we know that the bottom of the box will have the same length "x", so, the greatest possible volume of the cardboard box will be:
Have a nice day!
