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Stolb23 [73]
3 years ago
14

Find the value of x in the triangle shown below

Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

we can use the Pythagorean theorem to solve this problem

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 9

x = +/- 3

we take only the positive value because a length can‘t be negative

x = 3

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Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 5% in interest and the other pa
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a = amount invested at 5%

b = amount invested at 2%

now, we know the total invested by Mr Wilson was 20000, so whatever "a" and "b" might be, we know that a + b = 20000.

a + b = 20000\implies b = 20000-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{5\% of a}}{\left( \cfrac{5}{100} \right)a}\implies 0.05a~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)a}\implies \begin{array}{llll} 0.02b\\\\ \stackrel{substituting}{0.02(20000-a)} \end{array}

now, we know the total of earned interest is 550 bucks, so then

0.05a~~ + ~~0.02(20000-a)~~ = ~~550\implies 0.05a+400-0.02a=550 \\\\\\ 0.03a+400=550\implies 0.03a=150\implies a=\cfrac{150}{0.03}\implies a=5000 \\\\\\ ~\hspace{24em}\stackrel{20000~~ - ~~5000}{b=15000}

5 0
2 years ago
Which set of ordered pairs represents a function?
kramer
A is the correct answer.

By definition, a function is a relation where each input has exactly one output. In letter A, the inputs 0, 1, 2, and 3 all have exactly one output.
In B, the input 1 has two outputs.
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4 0
3 years ago
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A school holds classes from 8:00 A.M to 2:00 P.M. For what percent of 24-hour day does this school hold classes?
lesya [120]

Answer:

25%

Step-by-step explanation:

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we can simplify this by dividing both sides by 6

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Step-by-step explanation:

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3 years ago
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Find the domain of the graphed function
lianna [129]

Answer:

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Step-by-step explanation:

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