Answer:
To find the area of a trapezoid, we can use the formula:
Area = (1/2) × (sum of bases) × (height)
In this case, the bases are 6 cm and 2 cm, and the height is the distance between them, which we can find using the Pythagorean theorem:
height² = (side)² - (difference of bases/2)²
height² = 5.4² - (2-6/2)²
height² = 29.16 - 9
height² = 20.16
height = √20.16
height ≈ 4.49 cm
Now we can plug in these values to find the area:
Area = (1/2) × (6 + 2) × 4.49
Area = 4 × 4.49
Area = 17.96 cm²
Therefore, the area of the trapezoid is approximately 17.96 square centimeters.
Step-by-step explanation:
Eastern time is 1 hour ahead of Central time, so 12:30pm Central time would be 1:30pm Eastern time.
Now the travel time is from 1:30pm to 3:00 pm Eastern time.
This is 1 hour 30 minutes.
Answer:
11,180
Step-by-step explanation:
The usual assumption for organic growth is that it is exponential. Here, the number increased by a factor of 1000/200 = 5 in 8 hours. For t in hours, a model for population might be ...
b = (initial value)·(growth factor)^(t/(period of growth))
b = 200(5^(t/8))
Using t = 20, the predicted population is ...
b = 200(5^(20/8)) = 200·5^2.5 ≈ 11,180
There might be about 11,180 bacteria in 20 hours.
Answer:
-24
Step-by-step explanation:
Answer:
Jonah needs 2 more napkins to complete one more table.
Step-by-step explanation:
In Jonah’s restaurant, each table seats 4 people.
In total Jonah has 78 napkins to place at the tables.
So the total number of napkins must be a multiple of 4.
But unfortunately 78 is not a multiple of 4. It leaves a remainder of 2 while divided by 4.
So, the number which is 2 more than 78 will be a multiple of 4 and will complete the set of tables i.e 80
Therefore, Jonah needs 2 more napkins to complete one more table.