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Answer:

Perimeter = 56

Area = 196

Step-by-step explanation:

We use the Pythagorean theorem to calculate the half-length of the sides (a):

Half of a side is 7, meaning that the full length is 14.

With that in mind we can calculate the perimeter and area:

Answer:

-2x^2-5x+16

Step-by-step explanation:

Remove parenthesis:

-10x^2+9+8x^2-5x+7

Combine like terms:

-10x^2+8x^2-5x+9+7

= -2x^2-5x+9+7

=-2x^2-5x+16

Answer:

3.83

Step-by-step explanation:

Mean of x = Σx / n

Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2

Sum of square (SS) :

(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8

Mean of y = Σy / n

Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2

Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8

df = n - 2 = 5 - 2 = 3

Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6

√(Σ(y - ybar)² / df) = √1449.6 = 38.074

Standard Error = √(Σ(y - ybar)² / df) / √SS

Standard Error = 38.074 / √98.8

Standard Error = 3.83

let h= 4, k=-2 and r= 7 then

(x-h)^2 + (y-k)^2 = r^2

(x-4)^2 + (y+2)^2 = 7^2

x^2 -8x +16 + y^2 +4y +4 = 49

x^2 +y^2 -8x +4y +16 +4-49 = 0

x^2 + y^2 -8x +4y -29 = 0 is the required eq

Answer:

4) 60 ft.²

5) 96 cm.²

6) 96

7) 126

8) 72

9) 32

10) 90

11) 216

(Formula for the area of a rectangle: length x width)

(Remember to follow PEMDAS when calculating the problems.)

Answer:

fairly sure its not the fourth one or the second one- so that narrows it down to the first and third one

Step-by-step explanation:

Answer:

18 - 5 + 4 / 5 x 1

18-5+4/5

13+4/5

(75+4)/5

79/5

hope it is helpful to you

Answer:

it's C

Step-by-step explanation:

Imagine a coordinate plane. Move 5 units away, you'll end up with (-5, 2).

Hope I helped

Answer:

4th Option, [tex]\frac{12}{5}[/tex]

Hope this helps!

Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, the value of x is -8.

Area of Polygon can be calculated using Shoelace formula described by Mathematician and Physicist Carl Friedrich Gauss where polygon vertices are described by their Cartesian coordinates in the Cartesian plane.

A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]

Shoelace formula (Green’s Theorem)

A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]

Where A is the area of the polygon and n is the number of sides of the polygon.

Here A = 6, n = 3, [tex]x_{1}[/tex] = 6, [tex]y_{1}[/tex] = 0, [tex]x_{2}[/tex] = 5, [tex]y_{2}[/tex] = 10, [tex]x_{3}[/tex] = [tex]x[/tex], [tex]y_{3}[/tex] = 20

A = 60 = [tex]\frac{1}{2} |(6.10)+(5.20)+(x.0)-(5.0)-(x.0)-(6.20)|[/tex]

60 = [tex]\frac{1}{2} |60+100-10x-120|[/tex]

60 = [tex]\frac{1}{2} |40-10x|[/tex]

60 = [tex]|20-5x|[/tex]

So 20 - 5x = -60

5x  = 80

x = 16

20 - 5x = 60

5x  = -40

x = -8

since x is a negative value,

we can know x = -8

Hence the value of x is -8.

Find out more information about green's theorem here

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Answer:

167 books.

Step-by-step explanation:

30% =  50 books

1% = 50/30

100% =  (50/30) * 100

= 167 books.

======================================================

Work Shown:

b1 = 14 and b2 = 6 are the two parallel bases

h = 9 is the height

A = area of trapezoid

A = h*(b1+b2)/2

A = 9*(14+6)/2

A = 9*20/2

A = 9*10

A = 90 square meters

Answer:

(x+)^3

Step-by-step explanation:

Answer:

I believe it to be 80 pieces if they are all cut into 8 pieces

Step-by-step explanation:

Answer:

I'm not sure how big each of the pieces of the pie are but I'm guessing 20 if each piece of pie is 1/2. Good luck on the question. Sorry I couldn't help you much.

Step-by-step explanation:

Answer:

Your answer is C

Step-by-step explanation:

You first look at what is in the parenthesis, and you do the opposite. In this case the opposite of one to the right is -1. Then you look on the outside of the equation. The graph when down three places, so -3

9514 1404 393

Answer:

  E)  0.366π

Step-by-step explanation:

There are π/180 radians in a degree.

  66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians

__

11/30 = 0.366... repeating, so would normally be rounded to 0.367

Answer:

2200 cubic cm

Step-by-step explanation:

The volume of a rectangular prism is found using the formula:

V = l*w*h

V = 10 cm * 20 cm * 11 cm

V = 2200 cubic cm

Answer: 2200

Step-by-step explanation:

Answer:

b=8

Step-by-step explanation:

You multiply $0.50 by 6 (to get the amount of money she spent on lollipops)=3 then you take the 3 and subtract it from $15 which gives you 12, finally you get 1.50-12 and do that 8 times which means she bought 8 candy bars

Answer:

43cm square

Step-by-step explanation:

A= bh

A=8.4cm x 5.2cm

A=43.68cmsqr

Answer:

52=8n +4

4=52-8n

are equivalent

Answer:

a, b, c, e

Step-by-step explanation:

4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.

4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.

4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.

n = 6 is the solution to the equation so it is equivalent.

Answer:

awww neither do i

Step-by-step explanation:

lol I got a 72 on my matb homework going to go jump off a cliff

Answer:

D

Step-by-step explanation:

Do I need to explain?

Answer:

D(8)

Step-by-step explanation:

So remember, 2 opposite sides of a triangle are equivelent.

We know that one of these sides are 3.

So the other side must be 3 as well.

This is 2 of the 4 sides of a rectangle.

If each side is 3, and there are two sides, this means that they add up to 6.

Subtract this from your total permiter:

22-6

=

16

Now remember, there are 2 sides left.

To find the answer, divide the 16(permiter left) by the 2(sides left):

16/2

=

8

This is your answer!

Hope this helps! :)

Answer:

f(5) = 15

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 5² - 2(5) = 25 - 10 = 15

Answer:

Step-by-step explanation:

(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)

5a + 18 + 48 - a + 8a - 30 = 180

12a + 36 = 180

12a = 180 - 36

a = 144/12

a = 12

therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.

Therefore, the size of the smallest angle is 36 degree

Answer:

A- most of the data in each plot is greater than 48

Step-by-step explanation:

took the test

Answer:

a

Step-by-step explanation:

a

Answer:0.51 I just took the test

Step-by-step explanation:

Answer:

b. gain of 279 pounds

Step-by-step explanation:

107+85-27+114 = 279

Answer:

9100 + 107 + 85 - 27 + 114

Total weight = a. 9379 pounds

Answer:

x=8

Step-by-step explanation:

2x+2 = 4x-14

16=2x

x=8