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4 years ago

Tom has a circular clock with a circumference of 39.88.what is the radius of tom clock, to the nearest hundredth of an inch

Mathematics

1 answer:

Alex787 [66]4 years ago

8 0

Answer:

6.35

Step-by-step explanation:

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What is the nth term?

kumpel [21]

Let $a_k$ denote the kth term of the sequence. Then

$a_k=a_1+d(k-1)$

where d is the common difference between consecutive terms in the sequence and a₁ is the first term.

The sum of the first n terms is

$S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n$

From the formula for $a_k$ , we get

$S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)$

$S_n=\displaystyle na_1+d\sum_{k=0}^{n-1}k$

$S_n=na_1+\dfrac{d(n-1)n}2$

$S_n=\dfrac n2(2a_1-d+dn)$

So we have $d=-5$ , and $2a_1-d=16$ so that $a_1=\frac{11}2$ .

Then the nth term in the sequence is

$a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}$

7 0

3 years ago

Personal Finance

telo118 [61]

Answer:

Some states consider some income to be tax free. this statement is false

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3 years ago

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This graph represents the positions

sleet_krkn [62]

Answer:

step g

Step-by-step explanation:

it axis is giong up more than other turtle which makes more sense.

for more homework awnser follow me on instagram ad dm me.

its.emma.sloan

4 0

3 years ago

100 points plz help fasttt

prohojiy [21]

Answer:

Step-by-step explanation:

Complementary angles are 2 angles when added together = equal 90 * degrees.

The verticle angles theorem states angles opposite each other are the same degree*.

30* degrees is opposite angle 2 .

So angle 2 = 30* too

angle 2 and 3 together +equal 90* degree.

90 - 30 (angle 2) = 60*

Angle 3 is 60*

3 0

2 years ago

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Members of a lacrosse team raised $1793.50 to go to a tournament. They rented a bus for $757.50 and budgeted $64.75 per player f

Alona [7]

Answer:

757.5+64.75= 822.25

Step-by-step explanation:

8 0

2 years ago