Answer:
63.59 in²
Step-by-step explanation:
The formula to find the area of a square: a², where a is the side.
The formula to find the area of a circle: πr², where r is the radius (diameter ÷ 2), and the pi is alterable (3.14 or 3.142 or 22/7).
1) Find the diameter of the circle. The side of a square is the diameter.
a²
a = √81
a = 9
2) Plug the values into the formula of the area of a circle. 9 ÷ 2 = 4.5 (radius).
= 3.14 x 4.5²
= 3.14 x 20.25
= 63.585
3) Round off the result to the nearest hundredth.
= 63.59
0.4 lbs each.
<h3>Further explanation</h3>
<u>Given:
</u>
- The total weight of 6 pieces of butter and a bag of sugar is 3.8 Ib.
- The weight of the bag of sugar is 1.4 Ib
<u>Question:
</u>
What is the weight of each piece of butter?
<u>The Process:
</u>
The two steps for obtaining the weight of each piece of butter are as follows:
<u>Step-1:</u> the total amount of butter is the total bag of butter and sugar subtracted by the weight of the bag of sugar.
<u>Step-2:</u> the total amount of butter divided by the number of pieces of butter is the the weight of each piece of butter.
Let's also consider the following quick steps.
<u>Quick steps:
</u>
Therefore, the weight of each piece of butter is 0.4 lbs.
<h3>Learn more
</h3>
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Keyword: the total weight, 6 pieces of butter, a bag of sugar is 3.8 Ib, if the weight of the bag of sugar is 1.4 Ib, each piece, subtracted, divide
Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)