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: D
Step-by-step explanation:
(3/8) / (5/9) is the same as multiplying (3/8) by (9/5) which is 27/40. I'm not sure if there's an error between C and D because those are both the same answer since dividing a negative number by a negative number gives you a positive number.
I think C was supposed to be -27/40 so D is the correct answer since it's positive.
Answer:
768 bugs
Step-by-step explanation:
You can rewrite this problem as a function as time where the bug population is f(x), and x is the number of days since the start.
f(x)=6*2^(x/5)
Here, the 6 represents the number of bugs that you start with, the two shows that they double every day, and the /5 shows that they double every 5 days.
By plugging in 35, you get 6*2^7, which is 768.
We are given with three lengths of a triangle expressed in terms and variables: (3x – 4) feet, (x^2 – 1) feet, and (2x^2 – 15) feet. The perimeter of the triangle is equal to the sum of the three sides of the triangle. In this case, the sum is 3x^2 + 3x -20. When x is equal to 4, we substitute <span>3*16 + 3*4 -20 equal to 40 feet.</span>
I can’t understand because I speak English
