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2 years ago

Reggie needs 24 feet of rope to make a tire swing. He has 10 yards of rope. Is this enough for him to make his swing? Explain.

Mathematics

1 answer:

Luden [163]2 years ago

3 0

Answer:

8 yards < 10 yards

He has enough.

Step-by-step explanation:

1 yard = 3 feet

y yards = 24 feet

$\frac{1}{3} :\frac{y}{24}$

y · 3 = 1 · 24

3y = 24

3y ÷ 3 = 24 ÷ 3

y = 8

24 feet = 8 yards

8 yards < 10 yards

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3 years ago

Rewrite in Polar Form....<br> x^(2)+y^(2)-6y-8=0

skad [1K]

$\bf x^2+y^2-6y-8=0\qquad 
\begin{cases}
x^2+y^2=r^2\\\\
y=rsin(\theta)
\end{cases}\implies r^2-6rsin(\theta)=8
\\\\\\
\textit{now, we do some grouping}\implies [r^2-6rsin(\theta)]=8
\\\\\\\
[r^2-6rsin(\theta)+\boxed{?}^2]=8\impliedby 
\begin{array}{llll}
\textit{so we need a value there to make}\\
\textit{a perfect square trinomial}
\end{array}$

$\bf 6rsin(\theta)\iff 2\cdot r\cdot \boxed{3\cdot sin(\theta)}\impliedby \textit{so there}
\\\\\\
\textit{now, bear in mind we're just borrowing from zero, 0}
\\\\
\textit{so if we add, \underline{whatever}, we also have to subtract \underline{whatever}}$

$\bf [r^2-6rsin(\theta)\underline{+[3sin(\theta)]^2}]\quad \underline{-[3sin(\theta)]^2}=8\\\\
\left. \qquad \right.\uparrow \\
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\\\\\\\
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\\\\\\
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3 years ago