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2 years ago

A sidewalk bounds a circular playground at GeoCity Park. Parents can exercise by walking around on

Mathematics

1 answer:

ollegr [7]2 years ago

3 0

Answer:

125,728 m²

Step-by-step explanation:

C = 2 × 3.14 × r

1256.64 = 6.28r

r = 200.101910828 m

Area = 3.14 × r²

Area = 3.14 × 200.101910828²

Area = 125,728.03261143 m²

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What is the measure of the missing angle?

Luda [366]

Answer:

B=23.19

Step-by-step explanation:

First, find the last side of the triangle using the Pythagorean theorem.

$a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c$

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

$B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19$

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2 years ago

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Determine the sum of the first 9 terms in the geometric series where r= -0.25 and a1= 256.

Damm [24]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=-0.25\\ a_1=256\\ n=9 \end{cases}$

$\bf S_9=256\left(\cfrac{1-(-0.25)^9}{1-(-0.25)} \right)\implies S_9=256\left( \cfrac{1+0.25^9}{1+0.25} \right) \\\\\\ S_9=256\left( \cfrac{52429}{65536}\right)\implies S_9=\cfrac{52429}{256}\implies S_9=204.80078125$

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2 years ago

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Please help I'll give brainliest to the correct person

elena55 [62]

Answer:

the first one because supplementary means angles which add up to 180 and 180 degrees is a straight line and the third one because they both share the same vertex and side

Step-by-step explanation:

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2 years ago

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Andre45 [30]

14y is the answer :)

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3 years ago

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dolphi86 [110]

Answer:

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Step-by-step explanation:

It shows how information changes over time

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