Two side measures are the same
all angle measures less than 90°
two angle measures are the same
It would be helpful if you could post a photo so I can look at the context. Thank you
Answer:
- 700 initial cells
- 2486 cells after 25 hours
Step-by-step explanation:
#1 There are 700 yeast cells when Phillipa starts her experiment. (This value is given in the problem statement.)
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#2 For this, we must assume the time period that is associated with the 5.2% growth. (The problem statement does not specify it.)
The general form of the equation for exponential growth is ...
f(t) = (initial value)×(growth multiplier in time period)^(number of periods)
When the growth (or decay) rate is indicated as a percentage (r), the "growth multiplier in time period" is generally ...
growth multiplier = 1+r
Here, the value of "r" is 5.2% = 0.052, so the growth multiplier in the time period is ...
1 + 0.052 = 1.052
__
As we said, the time period is not specified. Since the only time period mentioned in the problem is 25 hours, we might reasonably assume that the 5.2% growth occurs in one hour. Then the cell population is ...
f(t) = 700×1.052^t . . . . . . for t in hours
After 25 hours, ...
f(25) = 700×1.052^25 ≈ 700×3.55135 ≈ 2485.9 ≈ 2486
The number of yeast cells present after 25 hours is about 2486.
Answer:
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Answer:
Perimeter = 32m
Area = 76.8m²
Step-by-step explanation:
Question:
On a farm they want to put an octagonal fence to keep the geese at night. They have already placed two of the sides and used 8 meters of fence. If we know that the apothem is 4.8 meters, what will be its perimeter? And your area?
Octagonal polygon is a polygon with 8sides.
Two sides of fence = 8m
One side of fence = 8/2 = 4m
Each sides = 4m
Apothem = 4.8m
Let's look at the steps that will enable us solve this question.
The area of a regular polygon is calculated as:
Area = ½ap
where a = the apothem of the polygon
p= the perimeter of the polygon.
Apothem is the distance between the centre of the polygon and the base of the polygon.
The perimeter (p) = The sum of all sides of the octagon
p = (4 + 4 + 4 + 4 + 4 + 4+ 4+ 4 )
p = 4(8)
perimeter (p) = 32m
Area = ½ ×a ×p = ½ × 4.8m × 32
Area = 153.6/2
Area = 76.8m²
