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grandymaker [24]

2 years ago

7

Persuade Mr.Zorn whether the numbers 12, 16, and 20 make a right triangle or not. make sure to state reasons for and against you

r belief. *

1 answer:

TEA [102]2 years ago

3 0

Answer:

They don’t 12+16+20= 48

12 x 16 x 20= 3840

Step-by-step explanation:

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A ball is dropped from a height of 12 feet and returns to a height that is one-

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0.375

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2 years ago

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How does the DMV point system work?

Elodia [21]

Answer:

A. It keeps track of a driver's offenses so that they can suspend his license if they need to

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The DMV keeps a record of a person's driving history. This records any accidents or another traffic offenses like red light violations or speed violations etc.

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3 years ago

So confused. There is a link to the picture :)

user100 [1]

An = a1 + (n-1)d

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3 years ago

Determine determine whether the following geometric series converges or diverges. if the series converges find its sum.

Lilit [14]

For starters,

$\dfrac{3^k}{4^{k+2}}=\dfrac{3^k}{4^24^k}=\dfrac1{16}\left(\dfrac34\right)^k$

Consider the $n$ th partial sum, denoted by $S_n$ :

$S_n=\dfrac1{16}\left(\dfrac34\right)+\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\cdots+\dfrac1{16}\left(\dfrac34\right)^n$

Multiply both sides by $\frac34$ :

$\dfrac34S_n=\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\dfrac1{16}\left(\dfrac34\right)^4+\cdots+\dfrac1{16}\left(\dfrac34\right)^{n+1}$

Subtract $S_n$ from this:

$\dfrac34S_n-S_n=\dfrac1{16}\left(\dfrac34\right)^{n+1}-\dfrac1{16}\left(\dfrac34\right)$

Solve for $S_n$ :

$-\dfrac14S_n=\dfrac3{64}\left(\left(\dfrac34\right)^n-1\right)$

$S_n=\dfrac3{16}\left(1-\left(\dfrac34\right)^n\right)$

Now as $n\to\infty$ , the exponential term will converge to 0, since $r^n\to0$ if $0$ . This leaves us with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{k=1}^n\frac{3^k}{4^{k+2}}=\sum_{k=1}^\infty\frac{3^k}{4^{k+2}}=\frac3{16}$

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3 years ago

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Help only need 44 please help

Lady bird [3.3K]

44.

1. Given

2. Vertical angles are congruent

3. angle 1 congruent to angle 5

4. Def congruence

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3 years ago

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