Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
<h3>What is the Tangent Ratio?</h3>
Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.
The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.
Find the adjacent side of each right triangle using the tangent ratio:
∅ = 32
Opposite side = 52 ft
Adjacent side = x
Plug in the values into the tangent ratio:
tan 32 = 52/x
x = 52/tan 32
x = 83.2 ft.
Distance across the suspension bridge = 6(83.2) = 499.2 ft.
Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
Learn more about the tangent ratio on:
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<h3>
Answer: 139.5</h3>
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(55) = 80/x
x*cos(55) = 80
x = 80/cos(55)
x = 139.4757 approximately
x = 139.5
The answer is F(x) = 900x + 600
Let x stands for the number of months
The apartment is rented for $900 a month, so every month it will be paid 900x (for example, for one month (x = 1), you will pay 900 · 1 = $900, for three months (x = 5), you will pay 900 · 5 = $4500, etc.)
A security deposit is paid only once and is not dependent on the number of months. So, its value is only 600.
These two values must be summed up because both must be paid, nothing is to subtract. Therefore, the function f(x) for apartments that rent for $900 a month and a security deposit of $600 is:
f(x) = 900x + 600
Take away 0.20 of the amount.
The final amount in the account after 25 years is $24670.42.
<h3>
How do you calculate the final Amount after 25 Years?</h3>
Given that 3400 dollars are placed in an account with an annual interest rate of 8.25% for 25 years.
The final amount in the account is calculated by the formula given below.
Where A is the final amount, P is the initial principal balance, R is the interest rate, T is the time period.
The final amount is given below.
Hence we can conclude that the final amount in the account after 25 years is $24670.42.
To know more about the compound interest, follow the link given below.
brainly.com/question/25857212.
