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Tatiana [17]
2 years ago
12

Find the angle of this sector. on the image ​

Mathematics
2 answers:
babymother [125]2 years ago
7 0

\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ s=15\\ r=8 \end{cases}\implies 15=\cfrac{\theta \pi (8)}{180}\implies 15=\cfrac{2\pi \theta }{45} \\\\\\ 675=2\pi \theta \implies \cfrac{657}{2\pi }=\theta \implies 104.56^o\approx \theta =a

KatRina [158]2 years ago
5 0

Answer:

\alpha =107.4^{o}

Step-by-step explanation:

15=\frac{\pi (8)\alpha }{180}

\alpha =\frac{(15)(180)}{8\pi } =\frac{2700}{25.13}=107.4

Hope this helps

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Nana76 [90]

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 0.75\%\to \frac{0.75}{100}\dotfill &0.0075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &8 \end{cases} \\\\\\ A=5000\left(1+\frac{0.0075}{12}\right)^{12\cdot 8}\implies A=5000(1.000625)^{96}\implies A\approx 5309.08

5 0
2 years ago
To the nearest​ dollar, the average tuition at a public four−year college was $3088 in 1997 and $3292 in 2000. ​Find, to the nea
Delicious77 [7]

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4 0
3 years ago
I need help with this question ASAP!!!!!!!!!!!!!
Mazyrski [523]

The height of the flag pole is 51 ft.

Solution:

Paul creates the smaller triangle and flag pole creates the larger triangle.

Base of smaller triangle = 10 ft

Height of smaller triangle = 6 ft

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$\Rightarrow \frac{6}{10} =\frac{h}{85}

Multiply by 85 on both sides.

$\Rightarrow 85 \times \frac{6}{10} =\frac{h}{85}  \times85

$\Rightarrow \frac{510}{10} =h

⇒ 51 = h

The height of the flag pole is 51 ft.

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OLga [1]
What is the question?
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