3pie+12mm is the correct answer (A)
If 101 is given in base <em>b</em>, then in base 10 you have
For instance, if <em>b</em> = 2, then
101₂ = 2² + 1 = 5₁₀
If <em>b</em> = 3, then
101₃ = 3² + 1 = 9₁₀
If <em>b</em> = 4, then
101₄ = 4² + 1 = 17₁₀
The answer depends entirely on the base of the given number.
Answer:
Area required for circular hot tube = 6,218 inch² (Approx.)
Step-by-step explanation:
Given:
Diameter of circular hot tube = 89 inches
Value of π = 3.14
Find:
Area required for circular hot tube
Computation:
Radius of hot tube = Diameter / 2
Radius of hot tube = 89 / 2 inches
Area required for circular hot tube = Area of circle
Area of circle = πr²
Area required for circular hot tube = πr²
Area required for circular hot tube = (3.14)(89/2)²
Area required for circular hot tube = (3.14)(7921 / 4)
Area required for circular hot tube = (3.14)(1,980.25)
Area required for circular hot tube = 6,217.985
Area required for circular hot tube = 6,218 inch² (Approx.)
Answer:
r < -504
Step-by-step explanation:
The problem says;
72 + r < -432
Inverse operations;
72 + r < -432
-72 -72
r < - 504
Answer:
The possible images of AB are;
PN, HG, and CD
Step-by-step explanation:
The coordinates of the point A is (1, 2), the coordinates of the point B is (5, 2)
Therefore, the length of the line AB = 5 - 1 = 4 units
The given transformations are, reflections, rotations, and/or translations which are rigid transformations, such that the length of the image of AB will be the same as the length of AB
Therefore, the possible images of AB are;
PN with coordinates P(5, -2) and N(9, -2) and length 9 - 5 = 4 units
HG with coordinates H(-4, -4) and G(-4, -8) and length -4 - (-8) = -4 + 8 = 4 units
CD with coordinates C(-4, 6) and D(-4, 2) and length 6 - 2 = 4 units
