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tensa zangetsu [6.8K]
3 years ago
9

11d=81-16d how do you solve

Mathematics
2 answers:
tatuchka [14]3 years ago
8 0
11d = 81 - 16d
Add 16d to both sides

27d = 81
Divide both sides by 27

d = 3
bija089 [108]3 years ago
5 0
<span>11d=81-16d
Add 16d to both sides
27d=81
Divide 27 on both sides
Final Answer: d = 3</span>
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Find (a) arc length and (b) Area of a sector.
barxatty [35]

Answer:

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Step-by-step explanation:

<u>Formula</u>

\textsf{Arc length}=r \theta

\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta

\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}

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Given:

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\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}

\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}

5 0
2 years ago
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