Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.
Answer:
D
Step-by-step explanation:
10* 8 = 80
15-10=5
8-6=2
5*2= 10
10/2= 5
80+5=85
Answer:
0.6, 2/3, 73%
Step-by-step explanation:
To convert 2/3 into a decimal, do 2 divided by 3 which would equal about 0.67.
If you want to convert a percent into a decimal, take the decimal place and move in over to the left 2 digits.
<u>Example:</u>
73.0% (I added the ".0" to show the decimal)
Move decimal to the left twice.
So, it would be 0.73.
Hi there! It's b hope this helps!
ANSWER
36 cubic inches.
EXPLANATION
The volume of a square pyramid is calculated using the formula:
where l² is the area of the base and h= 6 inches is the height of the square pyramid.
We substitute the values into the formula to get,
We simplify to get:
Therefore the volume of the square pyramid is 36 cubic inches.
