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:
0.23$
Step-by-step explanation:
16 ounce box of cereal is priced at =3.68$
∴1 ounce box of cereal is priced at=(3.68/16)$
=0.23$
Step-by-step answer:
The steps are much easier to follow when we know how many product it sells. The number does not really matter, because we need the profit per item.
Say, the company made and sold 100 items of the product.
The revenue = 100*5 = $500.
On the average, 2 out of 100 are defective and need to be replaced at a cost of $100 each, so
replacement cost = 2* 100 = 200
So net profit for 100 items = $500 -$200 = $300
Net profit for each item = $300/100 = $3.00
Remark: since the product is replaced, no refund is necessary, so revenue stays at $300.
Answer: 105 grams
Step-by-step equation: they each eat 21 grams a day
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