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horsena [70]
2 years ago
11

What is the volume of the right rectangular prism?

Mathematics
1 answer:
Sladkaya [172]2 years ago
7 0
250 m because you multiple the base by the height
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Step-by-step explanation:

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Jeff's salary is 25% higher than Josh's. By how many percent is Josh's salary less than Jeff's?
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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n2+5/2n
leonid [27]

Answer:

n^2 + \frac{5}{2}n + \frac{25}{16}

(n + \frac{5}{4})^2

Step-by-step explanation:

Given

n^2 + \frac{5}{2}n

Required

(a) Make a perfect square trinomial

(b) Write as binomial square

Solving (a)

Let the missing part of the expression be k;

This gives

n^2 + \frac{5}{2}n + k

To solve for k, we need to square half the coefficient of n;

i.e. Since the coefficient of n is \frac{5}{2}, then

k = (\frac{1}{2} * \frac{5}{2})^2

k = (\frac{5}{4})^2

k = \frac{25}{16}

Hence;

n^2 + \frac{5}{2}n + k = n^2 + \frac{5}{2}n + \frac{25}{16}

Solving (b)

n^2 + \frac{5}{2}n + \frac{25}{16}

Expand \frac{5}{2}n

n^2 + \frac{5}{4}n+ \frac{5}{4}n + \frac{25}{16}

Factorize

n(n + \frac{5}{4})+ \frac{5}{4}(n + \frac{5}{4})

(n + \frac{5}{4})(n + \frac{5}{4})

(n + \frac{5}{4})^2

Hence:

n^2 + \frac{5}{2}n + \frac{25}{16} = (n + \frac{5}{4})^2

3 0
3 years ago
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