Answer:
b = 18
Step-by-step explanation:
From an external point, the products of distances to the near circle intercept and the far circle intercept are the same. For a tangent, such as AC, point A is both the near and far intercept point, so that product is the square of the length of AC.
(AC)² = (CG)(CV)
b² = 12·27 = 324 . . . . substitute known values
b = √324 . . . . . . . . . . take the square root
b = 18
83 is a prime
24 = 2³x3
192 = 2⁶x3
256 = 2⁸
Answer:
a. 78.6 square feet
b. $7.86
Step-by-step explanation:
a. This simply asks us to calculate the area of the 10 feet diameter pool
Formula for area of circle is ;
pi * r^2 = pi * d^2/4
so Area = 22/7 * 10^2/4 = 78.60 square feet
b. This will be the area of the blanket multiplied by the price per square foot of the blanket
Mathematically, we have that as;
78.60 * 0.1 = $7.86
Answer:
Step-by-step explanation:
A cube has all sides of equal length.
So let the side be x
that will be length = width = height = x
Now, when we cut the loaf into 5 equal slices, the length and height of the slices are the same as the original loaf. But the width will become less with each slicing. Here the width corresponds to the thickness of the slices.
For each slice the dimensions are -
Length = x
height = x
width = 0.6
Volume of the original loaf is x³.
Volume of 5 slices is 5(x * x * 0.6).
Volume that is left after the cutting the slices is 235 inch³.
So, equation of the volume is=
x³ - 5(0.6x²) = 235
Solve for x using this equation.
x³ - 3x² = 235
x³ - 3x² - 235 = 0
Using a graph calculator to find the roots, we get
x = 7.35
Hence the dimensions of the original loaf is 7.35 inches for each side.
Please find attached the graph.