Answer:
Step-by-step explanation:
To overestimate the area would mean that you completely enclose the circle in squares; an 8 x 8 square to b exact. The area of a square with sides measuring 8 is 64. The overestimation is 64.
To underestimate the area would mean that you only count the squares that are completely inside the circle. That would be a 6 x 6 square (even though the 6th squares are a tiny bit outside the circle). A square with sides of 6 has an area of 36. The underestimation is 36.
Answer:
Shopkeepers gain just by weighing is 22.22%
Step-by-step explanation:
Explanation:
Assume that the shopkeeper bought x units of goods i.e. actual weight of goods.
As the balance used to buy goods weighs 10% more, he actually bought x×110100=1.1x weight units i.e. although the shopkeeper paid for x units, he actually bought 1.1x units by weight.
Now he has 1.1x units of goods, but for selling he uses another balance, which actually measures 10% less i.e. 1−0.10=0.9 units for each unit weight of goods sold.
So while selling 1.1x becomes 1.1x0.90=1.2222... units.
Hence, shopkeepers gain just by weighing is 22.22%
Answer:
2.36 inches
Step-by-step explanation:
V = 4.18879r³
to determine the value of r, make r the subject of the formula in the above equation
∛(V/4.18879) = R
∛(55/4.18879) = r
r = ∛13.130283
r = 2.36 inches
the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero
We are given a data set and we are asked to write the model that fits the data. We notice that for each step of "x" the values of "y" increase by the same amount. That means that the data follow a linear model, therefore, we will use:
Where:
To determine the slope "m" we will use the following formula:
Where:
Are data points. From the table we choose the following points:
Now, we substitute in the equation for the slope:
Solving the operations:
Therefore, the slope is -7. Substituting in the equation of the line we get:
Now, we substitute one of the points to get the value of "b". We will substitute the value x = -8, y = 47, we get:
Solving the product:
Now we subtract 56 from both sides:
Now, we substitute the value of "b" in the equation of the line:
And thus we get the line equation.
