what is (√7)² in simplest form?

Answer:

The perimeter of triangle = 20.3

Step-by-step explanation:

We need to find perimeter of the triangle with vertices at (−2, 3), (3, 6), and (2, −2)

The formula used to find perimeter is: [tex]Perimeter=Sum\:of\:length\:of\:all\:sides[/tex]

First we need to find length of each side using distance formula:

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

Find distance between (−2, 3), (3, 6)

We have: [tex]x_1=-2,y_1=3, x_2=3,y_2=6[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(3-(-2))^2+(6-3)^2}\\Distance=\sqrt{(3+2)^2+(6-3)^2}\\Distance=\sqrt{(5)^2+(3)^2}\\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\Distance = 5.83[/tex]

So, The distance between (−2, 3), (3, 6) is 5.83

Find distance between (3, 6),(2,-2)

We have: [tex]x_1=3,y_1=6, x_2=2,y_2=-2[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(2-3)^2+(-2-6)^2}\\Distance=\sqrt{(1)^2+(-8)^2}\\Distance=\sqrt{1+64}\\Distance=\sqrt{65}\\Distance=8.06[/tex]

So, The distance between (3, 6),(2,-2) is 8.06

Find distance between (-2,3),(2,-2)

We have: [tex]x_1=-2,y_1=3, x_2=2,y_2=-2[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(2-(-2))^2+(-2-3)^2}\\Distance=\sqrt{(2+2)^2+(-2-3)^2}\\Distance=\sqrt{(4)^2+(5)^2}\\Distance=\sqrt{16+25}\\Distance=\sqrt{41} \\Distance=6.40[/tex]

So, The distance between (-2, 3),(2,-2) is 6.40

So, The length of side 1 = 5.83

The length of side 2 = 8.06

The length of side 3 = 6.40

The perimeter of triangle will be:

[tex]Perimeter=Sum\:of\:length\:of\:all\:sides\\Perimeter=5.83+8.06+6.40\\Perimeter=20.29\approx 20.3[/tex]

So, The perimeter of triangle = 20.3

Hope you understand the solution. Call my attention if you need any help

Answer:

Percent increase = 25%

Step-by-step explanation:

Given that:

Old price of shoes = $65

New price of shoes = $81

Difference = 81 - 65

Difference = 16

Percent increase = [tex]\frac{Difference}{Old\ price}*100[/tex]

Percent increase = [tex]\frac{16}{65}*100[/tex]

Percent increase = 0.246 * 100

Percent increase = 24.6%

Rounding off to nearest whole number

Increase = 25%

Hence,

Percent increase = 25%

Answer:

what is the question...?

Step-by-step explanation:

Step-by-step explanation:

let the unknown number be x

6 * x * 3 = 90

18 x = 90

x = 90/ 18

x = 5

Hope it will help :)

Answer: 5

Step-by-step explanation:

30 divided by 6 is 5, so 6 x 5 x 3=90

Answer: 3.7

Step-by-step explanation: In this case you're just multiplying by (10) usually this is done to make a decimal to a whole number

There are ten centimeters in one decimeter. How many decimeters are in thirty seven centimeters?

Divide 37/10=3.7

Another way is 3. 7*10=37

Answer:

step 3

Step-by-step explanation:

Answer:

the anwser is 27

Step-by-step explanation:

glad I could help!

Step-by-step explanation:

The prime numbers is

A. 17

Answer:

the prime number on the thing is 17

Answer:

51 = 1 x 51 or 3 x 17. Factors of 51: 1, 3, 17, 51.

Answer:

392x−3136

Step-by-step explanation:

Answer:

White roses - 7

Red roses - 17

Step-by-step explanation:

Set up proportional equations

White roses = x

Red roses = 3x - 4

Set equal to 24

x + 3x - 4 = 24

4x - 4 = 24

4x = 28

x = 7

x is white roses, so there are 7

Plug x value into red rose equation

3(7)-4

21-4 = 17 red roses

Check

17+7 = 24

Answer:

a, c, d

Step-by-step explanation:

[tex]6:8 = 3:4[/tex]

[tex]9:15 = 3:5[/tex]

[tex]12:16 = 3:4[/tex]

[tex]15:20 = 3:4[/tex]

Answer:

47 students in each bus

Step-by-step explanation:

243-8= 235

235/5=47

Answer:

y = 1/2x – 9/2 or y = 0.5x – 4.5

Step-by-step explanation:

same thing just in different forms

Answer:

x = { - 2, 2 }

Step-by-step explanation:

Given

6x² - 24 = 0 ( add 24 to both sides )

6x² = 24 ( divide both sides by 6 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

solution set is { - 2, 2 }

Answer:

the required answers are :

a) x = 4

b) x = 3

c) a = 7

d) x = -15

Step-by-step explanation:

the whole process is given in the solution in attached picture. okay

ANSWER

x = -1

x= 1

x = 3

Step-by-step explanation:

the answer is this

Answer:

Allison tuvo el mejor récord

Step-by-step explanation:

Answer:

5²

Step-by-step explanation:

hsjsjshsbsnbsbwbdbsbsb

Answer:

1/16

When you calculate they both get the answer 0.0625

Answer:

its C. im doing test to i saw different page

Step-by-step explanation:

diff pge

Given that,

An estimate of the height, H metres, of a tall building can be found  using the formula :

H = 3f + 15

where the building is f floors high.

f = 85

The real height of the building is 260 m.

To find,

The percentage error.

Solution,

We have,

H = 3f + 15

Put f = 85 in the above formula

H = 3(85) + 15

H = 270 m

Error,

[tex]E=\dfrac{270-260}{260}\times 100\\\\=3.84\%[/tex]

So, the required error is 3.84%.

Answer:

its c if not c its d

Step-by-step explanation:

hope that helps

Answer:

There would be 12 blue marbles if there is 15 white marbles

Step-by-step explanation:

Please correct me if I’m wrong!