Given:
The right triangular prism.
Height of prism = 28 in.
Hypotenuse of base = 25 in.
leg of base = 24 in.
To find:
The lateral surface area of the prism.
Solution:
Pythagoras theorem:

Using Pythagoras theorem in the base triangle, we get




The perimeter of the triangular base is:


Lateral area of a triangular prism is:

Where, P is the perimeter of the triangular base and h is the height of the prism.
Putting
in the above formula, we get


Therefore, the lateral area of the prism is 1568 in².
Answer:
Exponential Function
Step-by-step explanation:
The y-axis represents the number of Bacteria and x-axis represents the number of hours. If you observe closely you will see that the number of bacteria are doubling after each hour. For example, at time = 4 hours the number of Bacteria were about 50, at time = 5 hours the number of Bacteria were about 100 and at time = 6 hours the number of Bacteria increased to about 200.
This type of behavior is a property of exponential functions where we see a multiplicative rate of change in the values i.e. each value is a multiple of previous value. A rough model for this function would be:

Where, f(0) represents the number of bacteria at time = 0 hours i.e. number of Bacteria initially present and "x" represents the number of hours.
Answer:
First blank- 32000 ounces
Second blank- 2000 pounds
Yes the bridge can hold 1 ton.
Step-by-step explanation:
The ratio of the scale of the model to the real bridge = 1:4
The test model shows the model can take 8000 ounces
The real bridge will therefore take 8000 x 4 = 32000 ounces
16 ounces = 1 pound
32000 ounces = x pounds
==> = 32000/16 = 2000 pounds
2000 pounds = 1 ton
therefore the bridge holds 1 ton
N/4.3 = 9.4
4.3 × n/4 = 9.4 × 4.3
n = 40.42