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Citrus2011 [14]
2 years ago
7

John made a triangle with all three sides the same length, 1 \frac{2}{3} ft. What is the perimeter of the triangle?

Mathematics
1 answer:
UNO [17]2 years ago
7 0

Answer:

5 ft

Step-by-step explanation:

If all sides are of the same length, we can multiply the value of one side by 3, because a triangle has three sides (and the perimeter is all sides added together), to find the perimeter.

1\frac{2}{3} × 3

1\frac{2}{3} can be rewritten as \frac{5}{3}, so:

\frac{5}{3} × \frac{3}{1}

= \frac{15}{3}

The numerator & denominator share a common factor of 3, so:

5 ft is the final answer/perimeter.

hope this helps!

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Answer:

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Step-by-step explanation:

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3 years ago
What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4
Ivanshal [37]

Answer:

x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Step-by-step explanation:

x=4\sqrt{3},\:x=-4\sqrt{3}

Considering the expression

x^2\:-\:48

Solving

x^2-48=0

x^2-48+48=0+48

x^2=48

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{48},\:x=-\sqrt{48}

Solving

x=\sqrt{48}

  = \sqrt{2^4\cdot \:3}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

  = \sqrt{3}\sqrt{2^4}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^m}=a^{\frac{m}{n}}

  \sqrt{2^4}=2^{\frac{4}{2}}=2^2

  =2^2\sqrt{3}

  =4\sqrt{3}

So,

x=4\sqrt{3}

Similarly,

x=-\sqrt{48}=-4\sqrt{3}

Therefore, x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Keywords: roots, expression

Learn more about roots from brainly.com/question/3731376

#learnwithBrainly

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A pair of shorts are £15 in a 40%. What was the non-sale price
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Step-by-step explanation:

Given the original price including discount od shorts = £15

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Using the expression to calculate x

x + (40%of x) = 15

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