Answer:
Step-by-step explanation:
13). Area of a square = (Side)²
= (BC)²
Since, diagonals of a square bisect each other at 90°,
ΔBOC is a right triangle.
By applying Pythagoras theorem in the given triangle,
BC² = OB² + OC²
BC² = 2(OB)²
BC² = 2(7√2)²
BC = 
Area of square ABCD = (BC)²
= (√196)²
= 196 units²
14). Measure of interior angles of the regular hexagon = 120°
Area of the regular hexagon = 
From the given picture,
m∠BAC = m∠ABC = m∠ACB = 60°
Therefore, ΔABC is an isosceles triangle.
And all sides of this triangle will be equal in measure.
AB = AC = BC = 9 units
Area of the given regular hexagon = 
= 210.44 square units
≈ 210.4 square units
Answer:
tanB=8/6
Step-by-step explanation:
I’m pretty sure it’s a Rectangle or square
Assuming the order of selection doesn't matter:
A bacteria culture starts with 500 bacteria and doubles in size every half hour.1
(a) How many bacteria are there after 3 hours?
We are told “. . . doubles in size every half hour.” Let’s make a table of the time and population:
t 0 0.5 1.0 1.5 2.0 2.5 3.0
bacteria 500 1000 2000 4000 8000 16000 32000
Thus, after three hours, the population of bacteria is 32,000.
(b) How many bacteria are there after t hours?
In t hours, there are 2t doubling periods. (For example, after 4 hours, the population has doubled 8
times.) The initial value is 500, so the population P at time t is given by
P(t) = 500 · 2
2t
