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3 years ago

15

A certain coin is a circle with diameter 18 mm. What is the exact area of either face of the coin in term of

1 answer:

lisabon 2012 [21]3 years ago

6 0

To find the area of the coin/a circle we use this equation:
(a = area, r = radius, d = diameter)

a = r²

So we need to do for the radius.
r = d/2
r = 18/2
r = 9

Then solve
a = 9²
a = 81

The correct answer is 81.

Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)

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The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

<em>Now we can plug this into a of the 2nd equation:</em>

<em> $ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$ </em>

<em />

<em>Let's solve for a:</em>

<em> $a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$ </em>

<em />

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

<u>Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:</u>

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

3 years ago

#1) Mrs. Ebanks planted two trees on a

uranmaximum [27]

Answer:

D = 12.94 m

Step-by-step explanation:

Coordinates of first tree = A(0,8)

Coordinates of second tree = A(12,4)

We need to find the distance between the two trees. We can find it using distance formula for coordinates as follows :

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have, x₁ = 0, x₂ = 12, y₁ = 8, y₂ = 4

Now using distance formula,

$D=\sqrt{(12-0)^2+(4-8)^2}\\\\=\sqrt{144+16} \\\\=12.64\ m$

So, the distance between the two trees is 12.64 m.

8 0

2 years ago

Anyone ?? Know the answers to these both? Due tmr morning

tresset_1 [31]

Answer:

Just use m a t h w a y for the answer

Step-by-step explanation:

Thank me later,or dont thank me at all

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3 years ago

The dot plot below represents a set of

mel-nik [20]

1, 3, 3, 4, 5, 6, each x is one of each number below

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3 years ago

Can you guys answer this ?

nika2105 [10]

Answer:

-7

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3 years ago

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