Question
Find the perimeter and the area of the polygon with the given vertices.

N (0,2), P (5,2), Q (5,5), R (0,5)

Answer:

kite; P=45–√+413−−√ units; A=32 units2

Step-by-step explanation:

Find the length of each side using the Distance Formula.

Find the length of side HA.

HA=(−10−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−−√

=(−4)2+(6)2−−−−−−−−−−√

=16+36−−−−−−√

=52−−√=213−−√

Find the length of side AT.

AT=(−6−(−10))2+(6−4)2−−−−−−−−−−−−−−−−−−−−√

=(4)2+(2)2−−−−−−−−−√

=16+4−−−−−√

=20−−√=25–√

Find the length of side TC.

TC=(−2−(−6))2+(4−6)2−−−−−−−−−−−−−−−−−−−√

=(4)2+(−2)2−−−−−−−−−−√

=16+4−−−−−√

=20−−√=25–√

Find the length of side HC.

HC=(−2−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−√

=(4)2+(6)2−−−−−−−−−√

=16+36−−−−−−√

=52−−√=213−−√

Therefore, HA=HC=213−−√ and AT=TC=25–√.

Since there are two pairs of congruent consecutive sides, HATC is a kite by definition.

Find the perimeter of the kite as the sum of the four sides.

P=213−−√+25–√+25–√+213−−√=45–√+413−−√ units

To find the area of the kite, first find the lengths of the diagonals AC and TH using the Diatance Formula.

The figure shows the same quadrilateral H A T C as in the beginning of the task. Diagonal A C is perpendicular to diagonal T H.

Find the length of diagonal AC.

AC=(−2−(−10))2+(4−4)2−−−−−−−−−−−−−−−−−−−−√

=(8)2+(0)2−−−−−−−−−√

=64−−√=8

Find the legth of diagonal TH.

TH=(−6−(−6))2+(−2−6)2−−−−−−−−−−−−−−−−−−−−−√

=(0)2+(−8)2−−−−−−−−−−√

=64−−√=8

Find the area of the kite using the formula for the area of a kite, A=12d1d2.

Substitute 8 for d1 and 8 for d2.

A=12(8)(8)=32 units2

Therefore, the perimeter of the kite is 45–√+413−−√ units and the area is 32 units2.

Answer:

I guess 342 is the answer.

Step-by-step explanation:

Because the sum of all angles of a ️(triangle) is 360 degree.

Answer:

Step-by-step explanation:

(isosceles triangle base angles are equal)

(all angles of triangle are equal to 180)

38 + x + x = 180

2x = 180 - 38

2x/2 = 142/2

x = 71

Answer:

$27

Step-by-step explanation:

135 / 5 = 27

each friend paid $27.

Answer:

Answer:

yehhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

Measure of side a: 3

Measure of side b: 4

Measure of side c: 5

Side a/c: 3/5

Side b/c: 4/5

Side a/b: 3/4

Step-by-step explanation:

Answer:

Answer
See answers below

I hope this helps you

:)

Answer:

In this context, the word "enigma" means mystery.

Step-by-step explanation:

Answer:

Mystery, puzzle

Context clue: "No one ever traced the sound when they heard it." + "The reason that the source of the noise is such an" provide context clues that this may be a mystery or some sort of puzzling puzzle.

Answer:

Approximately 494,314 people

This is an exponential growth question, specifically population growth. We will use the following equation to help us solve this situation:

P(t) = a(1+r)t

P(t) = total population (??)

a = initial population = 260,000

r = growth factor (the percent as a decimal) = 0.055

1 + r = 1 + 0.055 = 1.055

t = time in years = 12

So, we can substitute all our information and solve:

P(12) = 260,000(1.055)12 = 494,313.95

Rounding to the nearest whole person, 494,314 people in 12 years.

[tex]\\ \rm\rightarrowtail sin45=\dfrac{x}{12}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{\sqrt{2}}=\dfrac{x}{12}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{12}{\sqrt{2}}[/tex]

[tex]\\ \rm\rightarrowtail x=6\sqrt{2}ft[/tex]

Now

[tex]\\ \rm\rightarrowtail tan60=\dfrac{y}{6\sqrt{2}}[/tex]

[tex]\\ \rm\rightarrowtail y=6\sqrt{6}[/tex]

Answer:

x = m*n / p

Step-by-step explanation:

am * an / ap = ax

=> x = m*n / p

Answer:

Step-by-step explanation:

r = 4 units

Given shape is 3/4 part of circle.

Area of the shape = [tex]\dfrac{3}{4}\pi r^{2}[/tex]

                               [tex]= \dfrac{3}{4}*3.14*4*4\\\\\\=3*3.14*4[/tex]

                                = 37.68 square units

Answer:

Here

Step-by-step explanation:

Input for x on first input is 7!      2*7+4

Input for x on second input is 9     2*9+4

Input for x on third input is 15      2*15+4

Answer:

(7, 18) (9, 22) (15, 34)

Step-by-step explanation:

so all you have to do is substitute the values given

substitute the input into x

wait a minute.. its output so what you ACTUALLY have to do is

18 = 2x + 4

then solve for the inputs

14 = 2x

x = 7

22 = 2x + 4

18 = 2x

x = 9

34 = 2x + 4

30 = 2x

x = 15

Answer:

the answer is 3 3/7 or 24/7

Answer:

The answer is -3g=(-6)

abcdefghijklmnopqrstuvwxyz

Answer:

x = 4.5y

Step-by-step explanation:

x = pudding

y = teaspoons

y = 1 so 1 x 4.5 will get you 4.5 teaspoons of sugar

Answer:

324 inches

Step-by-step explanation:

18 x 18 or 18² is 324

Answer:

324 square inches

Step-by-step explanation:

just multiply the length times the width and ABRACADABRA!!!!!!! theres your answer

Answer:

x=11

Step-by-step explanation:

you need to get x by itself so just add it to the other side and you get x=11

Answer:

x =11

Step-by-step explanation:

x - 3 = 8

To solve the equation, we have to isolate 'x'.

To isolate 'x',  we have to add 3 to both sides.

x - 3 + 3 = 8 + 3

x = 11

Answer:

no

Step-by-step explanation:

This answer is no because -5 and 7 are 12 units apart

Answer:

its 100 because 6+24+18+20+32=100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

If you’re looking for in total, then it’s 100.

Answer:

151100 because hundred contain two zeros

Answer: domain (7,8)

Step-by-step explanation: range is the Y-value and domain is the x-value

Answer:

A. Range

The value 8 is the range

Step-by-step explanation:

The range is all y-values or outputs of a function.

Check the picture below on the left-hand-side.

we know the degree of the polynomial will be 6, so the exponents of its factors must add up to 6.

now, we know that at -4 and -1 it has an odd multiplicity, so the exponent of that factor could be either 3 or 1 hmmm  so which is it?

well, when the graph cross the axis straight through, it'd be a multiplicity of 1, when it leans a bit on the axis, like it does on -4, the multiplicity will be larger than 1, so then

[tex]\begin{cases} x=-4\implies &x+4=0\\ x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies a\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \stackrel{\textit{we also know that}}{x=0\qquad y=576}\implies a(0+4)^3(0+1)(0-3)^2=576\implies a(64)(1)(9)=576 \\\\\\ 576a=576\implies a=\cfrac{576}{576}\implies a=1~\hfill \begin{array}{llll} 1\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \boxed{(x+4)^3(x+1)^1(x-3)^2=y} \end{array}[/tex]

Check the picture below on the right-hand-side

Answer: I'm sorry I could not give you the actual answer but I narrowed it down to either B or C.

Answer:

should be A

Step-by-step explanation: