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2 years ago

A circle has an area of 36pi square inches. Find the radius

Mathematics

1 answer:

zmey [24]2 years ago

6 0

circle area = πr² ⇒

$\pi r^2=36 \pi \\ r^2= \frac{36 \pi }{ \pi } \\ r^2=36 \\ r= \sqrt{36} \\ r=6 \ in$

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State a conclusion that seems reasonable.

gayaneshka [121]

Conclusion: You found a snake nest

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2 years ago

Myra multiplies 5 integers. The product is negative. AT LEAST, how many of the integers must be negative?

kicyunya [14]

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2 years ago

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4x + 1 over 3 y2

vampirchik [111]

Answer:

1/3 =0.33

Step-by-step explanation:

just substitute the values of x and y into the expression to get

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3 years ago

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Carter Road his bike 9/10 of a mile from his house to his grandmothers house. On his way back home, he rode 3/8 of a mile before

jek_recluse [69]

Answer:

Step-by-step explanation:

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2 years ago

Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec

vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

$\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}$

Hence, we have:

$\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\ \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}$

Divide the expression for the fifth term by the expression for the second term:

$\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}$

Substituting the value of r into any of the expression:

$\begin{gathered} ar\text{ = 18} \\ a\text{ }\times\text{ 2 = 18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}$

Hence, the explicit rule for the sequence is:

$a_n\text{ = 9\lparen2\rparen}^{n-1}$

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1 year ago