<span>Based on Pythagoras’s Theorem:
x^2 + (x+2)^2 = 10^2
2x^2 + 4x + 4 = 100
X^2 + 2x -48 = 0
(x + 8)(x - 6) = 0
Solving for x = 6, the sides are 6m and 8m.</span>
Answer:
105
Step-by-step explanation:
What is 42% of 250?
Let's break this question down.
We have:
42% – A percent is a fraction out of 100. 100% being fully complete. We can express 42% as 42/100 or 0.42.
of – This symbolizes multiplication.
250 – This is our total.
Now let's set up an equation.
42% of 250
0.42 • 250 = ?
Now, multiply.
105
This is your answer.
42% of 250 is 105.
Hope this helps!
Answer:
Part A
The required wood for the ladder is 98 feet
Part B
The cost of the wood is 49,000
Step-by-step explanation:
Part A
The dimensions of the ladder to be made with wood are;
The distance between each step of ladder = 1 foot
The length of the ladder = 25 feet
The width of the ladder = 2 feet
The required wood = 2 × 25 feet/rail + 2 feet/steps × 24 steps = 98 feet
The required wood for the ladder = 98 feet
Part B
The cost of the wood = 500/foot × 98 feet = 49,000
The cost of the wood = 49,000
Compound interest formula is
where A is the amount after T years, P is the principal amount you start with, R is the interest rate, and N is the amount of compounding periods. Semi-annually means we only have 2 compounding periods.
Now plug in:
which becomes
. Plug this into your calculator.
A = 5788.125. Because it's money, you would round to the nearest penny.
A = 5,788.13 dollars
