If the length of the radius of a circle is doubled, how does that affect the circumference and area? Explain.

1 answer:

8 0

The circumference is doubled since circumference is directly proportional to radius, and the area is quadrupled since it is directly proportional to the radius squared

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One lap around a dirt track is 1/3 miles. it takes Bryce 1/9 hour to ride one lap. what is bryce's unit rate ,in miles,around th

lana [24]

Answer:

Bryce's speed (slow speed I might add) is 3 miles per hour.

Explanation:

s /d= t

where

s = speed d= distance t = time.

Solving for gives:

s = 1/3 / 1/9

s= 9/3

s= 3 miles per hour

3 0

3 years ago

What is the area of the figure shown?

musickatia [10]

Check the picture below.

now, we're making an assumption that, the two blue shaded region are equal in shape, and thus if that's so, that area above the 14 is 6 and below it is also 6, 14 + 6 + 6 = 26.

so hmm if we simply get the area of the trapezoid and subtract the area of the yellow triangle and the area of the cyan triangle, what's leftover is what we didn't subtract, namely the shaded region.

$\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}$