If iis raised to an odd power, then it can not simplify to be<br> 0-1<br> O-1<br> Oi

What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

EleoNora [17]

Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Q&(~ 8 &,& 8~) 
% (c,d)
&R&(~ 14 &,& 16~)
\end{array}~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2}
\\\\\\
QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10$

and let's also find the length for ST

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&S&(~ 20 &,& 16~) 
% (c,d)
&T&(~ 22 &,& 8~)
\end{array}~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}
\\\\\\
ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}
\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}$

so, add the lengths of all sides, and that's the perimeter of the trapezoid.

8 0

3 years ago

Read 2 more answers

Which is the best estimate for StartFraction (8.9 times 10 Superscript 8 Baseline) Over (3.3 times 10 Superscript 4 Baseline) En

julsineya [31]

f no

Step-by-step explanation:

4 0

3 years ago

PLS HELP DUE SOON.....

melisa1 [442]

Answer: For a translation, you need a distance and a direction.

For a rotation, you need a point that is the center of the rotation and the degree (and sometimes direction) of rotation.

For reflection you need the axis or a defined line that the triangle is reflected across.

Step-by-step explanation:

5 0

3 years ago

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Consider an experiment where we ask what type of car – either domestic (e.g., Chevrolet, Ford, Chrysler, etc.), foreign built ab

Nostrana [21]

Answer:

$12^{20}$ outcomes for this sample space (under some considerations)

Step-by-step explanation:

Let's define the multiplication principle.

If a first part of an experiment can happen in n1 ways, a second part of an experiment can happen in n2 ways , . . . , a i - part of an experiment can happen in ni ways, then the total outcomes for the all the experiment are

(n1) x (n2) x ... x (ni)

In this exercise n1 = domestic

n1 is the total classes for domestic category

(Let's suppose n1 = 3 because of Chevrolet, Ford and Chrysler)

n2 = 1 (Also supposing we only have ''a Toyota built in Japan'' category for n2)

n3 = 1 (Also supposing we only have ''A Toyota built in Kentucky'' category for n3)

n4 = 4 (Also supposing we only have ''sedan,hatchback, truck or SUV'' category for n4

The possible outcomes for one person in the experiment are

$(Domestic).(ForeignBuiltAbrod).(ForeignBuiltInTheU.S).(Style)$

Where what it is brackets are the possible categories for that classification.

$n1.n2.n3.n4=3.1.1.4=12$

We have 20 different people then $12^{20}$ are the possible outcomes sample space

In the sample space there are $12^{20}$ outcomes if we consider that we have 3 types of domestic car, 1 type of foreign car built abroad,1 type of foreign car built in the U.S and 4 differents styles for this 20 different people.

7 0

3 years ago

A bad contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 18% are pennies and 42% are dimes

Marina CMI [18]

Answer:

$2.64

Step-by-step explanation:

9 coins are pennies (reply to my comment if you want to know how I got it)

19 coins are dimes (reply to my comment if you want to know how I got it)

9 (pennies) + 4 = 13 (nickels)

$1.90 (dimes) + $0.09 (pennies) + $0.65 (nickels) = $2.64

5 0

3 years ago

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If iis raised to an odd power, then it can not simplify to be 0-1 O-1 Oi