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:
Simplify the expression.
i could not type in exponent so just open the screen shot
Step-by-step explanation:
i Hope it works
She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.
<u><em>Explanation</em></u>
Total amount of winnings = $ 200000
She first paid income tax on 30% on the winnings. So, the amount paid as income tax dollar.
<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000
Suppose, she invested dollar at 1.5% rate.
That means, she invested dollar at 4% rate.
Given that, the total amount of interest earned = $ 4350
So, the equation will be.....
So, amount of investment at 1.5% rate = $ 50000
and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000