Mathematics, 30.01.2020 07:45 ari20004

The formula for the hypotenuse of a right triangle with legs of length a and b is shown.
what is b in terms of a and c?

The formula for the hypotenuse of a right triangle with legs of length a and b is shown. what

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Answer from: dirttrackr75

$b=\sqrt{c^{2}-a^{2}}$

Step-by-step explanation:

To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:

- Square both sides of the equation as following:

$c^{2}=(\sqrt{a^{2}+b^{2}})^{2}$

- Now you must subtract a² from each side of the equation, then you obtain:

$c^2-a^{2}=a^{2}-a^{2}+b^{2}$

$c^2-a^{2}=b^{2}$

- Apply square root to both sides:

$\sqrt{b^{2}}=\sqrt{c^{2}-a^{2}}$

Then:

$b=\sqrt{c^{2}-a^{2}}$

Answer from: xojade

see explanation

Step-by-step explanation:

Given

c = $\sqrt{a^2+b^2}$

Square both sides

c² = a² + b² ( subtract a² from both sides )

c² - a² = b² ( take the square root of both sides )

$\sqrt{c^2-a^2}$ = b

⇒ b = $\sqrt{c^2-a^2}$

Answer from: Quest

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

$i=\frac{85}{100}=0.85$

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

Answer from: Quest

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction: this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology: the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion: the last is the discussion, this can be either by management people or persons who are all interested , etc.