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Mathematics

1 answer:

Amanda [17]2 years ago

7 0

Answer: explanation

Step-by-step explanation:

1. answer:2592

explanation: it says to find the % of the small sample so 45 out of 75 is 60% then says to convert it into a decimal and multiply it by 4,320 which equals 2592.

2. answer:

explanation:540 is 12% of 4500. I don't quite understand what that number is but I'm assuming it's the percentage number and that number is 12 and that's 12% out of 100. if it means what percentage 540 is out of 100 then its 540%

3. answer:30
explanation: 4 out of 20 is 20% converted to decimal is 0.2 then multiply it by 15 0 and that adds to 30.

i hope this helped and i hope its correct

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The hypotenuse of the right triangle is 5 meter long. the shorter leg is 1 Meter shorter than the longer leg. find the side leng

Firlakuza [10]

Shorter leg = x

Longer leg = x +1

Length of the hypotenuse: 5 m

We can use the pythagorean theorem with the information given. Doing so, we have:

$\begin{gathered} a^2+b^2=c^2 \\ (x)^2+(x+1)^2=5^2\text{ (Replacing the values)} \\ x^2+x^2+2x+1=25\text{ (Raising both terms to the power of 2)} \\ x^2+x^2+2x=25-1\text{ (Subtracting 1 from both sides of the equation)} \\ 2x^2+2x=24\text{ (Adding like terms)} \\ 2x^2+2x\text{ }-24=0\text{ (Subtracting 24 from both sides of the equation)} \\ 2(x+4)(x-3)=0\text{ (Factoring)} \\ x1=-4\text{ (Since x=-4 makes the factor (x+4) equal to 0)} \\ x2=3\text{ (Since x=3 makes the factor (x}-3\text{) equal to 0)} \\ \text{ Since we need a positive solution x would be equal to 3} \end{gathered}$

So, the answers would be:

Shorter leg = 3 m

Longer leg = 4 m

Length of the hypotenuse: 5 m

6 0

1 year ago

What addition doubles fact can help you find 4+3?<br><br> Explain how you know.

Anarel [89]

Sorry idk sorry............................................

5 0

4 years ago

Should be easy hopefully........