Write two equivalent area to represent the perimeter of this rectangle. 5 X-2​

Given:

The vertices of a rectangle are (6, 3), (−6, 3), (−6, −1), and (6, −1).

To find:

The perimeter of the rectangle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]

Let the vertices of a rectangle are A(6, 3), B(−6, 3), C(−6, −1), and D(6, −1).

Using the distance formula, we get

[tex]AB=\sqrt{(-6-6)^2-(3-3)^2}[/tex]

[tex]AB=\sqrt{(-12)^2-(0)^2}[/tex]

[tex]AB=\sqrt{144}[/tex]

[tex]AB=12[/tex]

Similarly,

[tex]BC=\sqrt{\left(-6-\left(-6\right)\right)^2+\left(-1-3\right)^2}=4[/tex]

[tex]CD=\sqrt{\left(6-\left(-6\right)\right)^2+\left(-1-\left(-1\right)\right)^2}=12[/tex]

[tex]AD\sqrt{\left(6-6\right)^2+\left(-1-3\right)^2}=4[/tex]

Now, the perimeter of the rectangle is:

[tex]Perimeter=AB+BC+CD+AD[/tex]

[tex]Perimeter=12+4+12+4[/tex]

[tex]Perimeter=32[/tex]

Therefore, the perimeter of the rectangle is 32 units.

Answer:

Im pretty sure the answer would be 360 dec.   or 64in. sry if im wrong and plz tell me if im wrong ill fix it

CAN U HELP ME WITH MY ANSWER I POSTED YESTERDAY

Step-by-step explanation:

Answer:

3.55-3.59

Step-by-step explanation:

to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

So numbers that would be rounded off to 3.6 have to have an hundredth value equal or greater than 5

they include

3.55

3.56

3.57

3.58

3.59

Answer:

44 cm³

Step-by-step explanation:

If you break up this shape into 2 pieces you get a rectangle with the measurements of 2, 2, and 5 and another rectangle with the measurements of 2, 2, and 6. You then multiply 2, 2, and 5 together which will get you 20, and multiply 2, 2, and 6 together which will get you 24. You will then add both products which will get you 44. Since the measurement is in centimeters and it is a 3 dimensional shape it will then become 44 cm³.

Answer:

3 numbers are less than the mean. the mean is 17.4 so any number below that

Answer:

r = 5, h = 5, SH = 7.07106781, V = 130.899694, LSA = 111.072073, BSA = 78.5398163, TSA = 189.61189

Step-by-step explanation:

Answer:

the simplified from each expression is divide

Answer:

Step-by-step explanation:

It is because of

Triangle Inequality Property rule:

Measurement of any two sides of the triangle is always greater than the third side.

So,

As per the rule the sum of other two shorter sides of the triangle should be greater than 10.

The two shorter sides must have a sum that is greater than 10.

A triangle is a polygon with three sides and three angles.

Analysis:

For a triangle, the sum of the two shorter sides is usually greater than the longest side.

In conclusion, the sum of the two shorter sides must have a sum greater than 10.

Learn more about triangles: brainly.com/question/1058720

#SPJ2

Answer:

y ≥ 62

Step-by-step explanation:

Give Me Brainllest plz T - T

Answer:

Yes

Step-by-step explanation:

This is a function because every input only has one output.

Answer is in the pictures I promise nothing bad.

Use desmos to graph stuff by the way.

Answer:

The value of x=5!

Step-by-step explanation:

I remeber ing this!!!:)

Answer: I think 46

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{25c^2: 1,5,25,c,\& \ c}[/tex]

[tex]\mathsf{10w^2: 1,2,5,10,w,\& \ w}[/tex]

[tex]\large\textsf{GCF: \underline{5} because that is the HIGHEST factor both numbers share}\\\large\textsf{together}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: the \bf GCF (\underline{G}reatest \underline{C}ommon \underline{F}actor) is \huge 5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

G = 46 degrees

Step-by-step explanation:

Here, we want to find the measure of angle G

Mathematically, as we can see, what we have is a right triangle

For a right triangle , the sum of angles is 90 degrees

Thus, if we add the two internal angles, we get 90 degrees

Hence;

44 + G = 90

G = 90-44

G = 46 degrees

Answer:

27.6°

Step-by-step explanation:

6.5²-6² = 6.25

✓6.25 =2.5

^^^ that was Pythagoras theorem

9+2.5 = 11.5

23-11.5 =11.5

6 = height =opposite

11.5 = base = adjacent

sohcahtoa

use Tan

Tan-¹(6/11.5)

gives the angle CDA = 27.5528...

27.6 (1d.p)

Answer:

5

Step-by-step explanation:

Take the cubed root of 125. In other words what number is multiplied by itself three times to get 125.

5x5x5= 125

Answer:

Step-by-step explanation:

Find solutions on the web

Factor using difference of cubes and set each factor equal to  

y=5,

Triangle is missing, so i have attached it.

Answer:

Radius = 10.82

Step-by-step explanation:

From the image attached, the triangle is obviously a right angle triangle and therefore, the missing side (AB) which is the radius can be found via pythagoras theorem.

We are given;

AC = 21

BC = 18

Thus;

|AC|² = |AB|² + |BC|²

21² = |AB|² + 18²

|AB|² = 441 - 324

AB = √117

AB = 10.82

Answer: The answer is 10.8    mathxl/pearson2022

Answer:

bet ay yo it's D. 3,630 cubic meters

Answer:

FV= $634.12

Step-by-step explanation:

Giving the following formula:

Initial investment (PV)= $500

Number of periods (n)= 3*4= 12 quarters

Interest rate (i)= 0.08/4= 0.02

To calculate the future value, we need to use the following formula:

FV= PV* (1 + i)^n

FV= 500*(1.02^12)

FV= $634.12

Answer:

log

(

x

+

4

)

=

log

(

x

)

+

log

(

4

)

=

log

(

4

x

)

, so  

x

+

4

=

4

x

, hence  

x

=

4

3

Step-by-step explanation:

Answer:

120 cm^2.

Step-by-step explanation:

The area of one triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 1/2 * 48

= 24 cm^2

So area of the pentagon = 5 * 24

= 120 cm^2.

Answer: 81

Step-by-step explanation:

Answer:

B makes the most sense.

Step-by-step explanation:

The others make little to no sense.

Answer:

B is the correct answer. it makes sense

Answer:

[tex]a) 9x +18y \geq 0 \\9x \geq -18y \\x\geq -2y \\\sqrt {9(x+2y)}\\ 3\sqrt {x+2y} \\[/tex]

[tex]b) 3 \sqrt[3]{3*5^3a^9a} b^9 \\15a^3b^9 \sqrt[3]{3a}[/tex]

[tex]c)a\geq 0 \\1/2 \sqrt{2^2*3^2*3a^4a}b^9 \\1/2*2*3a^2\sqrt{3a}b^9 \\3a^2b^9 \sqrt{3a}[/tex]

[tex]d)mp\geq 0 \\3/5 \sqrt{5^2*5mn^6p^6p} \\3|n^3|p^3 \sqrt{5mp}[/tex]

[tex]e) n>0 \\6m 1/\sqrt{2^2*2n^4n} \\3|m|/n^2 1/\sqrt{2n}[/tex]

[tex]f) b\neq 0 \\a\neq 0 \\15/2 \sqrt[3]{x^2/2^3*2a^2b^3b} \\15/(4b) \sqrt[3]{x^2/2a^2b}[/tex]

Answer:

A. 10 ft

Step-by-step explanation:

Since dimensions of the wall are similar to the dimensions of the window.

Therefore, lengths and widths of wall and window would be in proportion.

So,

[tex] \frac{h}{2} = \frac{24.5}{4.9} \\ \\ h = \frac{24.5 \times 2}{4.9} \\ \\ h = \frac{49}{4.9} \\ \\ h = \frac{490}{49} \\ \\ h = 10 \: ft[/tex]

Answer:

s<30

Step-by-step explanation:

s is the number of students. the staement says the number of students is less than 30