The length of pendulum is 2.485 feet
<h3><u><em>
Solution:</em></u></h3>
Given that,
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth
<u><em>Therefore, the given formula is:</em></u>
We have to find the length of pendulum that makes one full swing in 1.75 seconds
So the modify the given equation to find "L"
Substitute T = 1.75 seconds and 
Thus length of pendulum is 2.485 feet approximately
In a triangle, the three interior angles always add to 180°
m∠B = 180 - 30 - 80 = 70°
<span>D: 70</span>
A...............................................................
Brother one: x
Brother two: x + 15
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Make them add up to 55 in an equation.
x + (x + 15) = 55
Combine like terms.
2x + 15 = 55
Subtract 15 from both sides.
2x = 40
Divide both sides by 2.
x = 20
Plug 20 for x into brother two.
(20) + 15 = 35
Brother one has saved $20, brother two has saved $35.
You will need to deposit $ 10,957 each year until retirement to achieve your retirement goals.
<h3>What is compound interest, and how does it work?</h3>
Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
Principal(P)=$40,000
(Time period)T=25+15 = 40 year
R=8%
The final balance is $273,938.99 and the total compound interest is $233,938.99.
The amount he has to deposit each year is found as;
⇒$273,938.99/25
⇒ $ 10,957
Hence. you will need to deposit $ 10,957 each year until retirement to achieve your retirement goals.
To learn more about compound interest, refer to brainly.com/question/14295570
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