Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is ituntil your cost is the same as Plan A's?

Answer:

D

Step-by-step explanation:

12-9 = 3 square unit

10 x 3 = 30 square unit

9×6 = 54 square unit

54+30 = 84 square units

and thats the answer

The area of the polygon is 84 square units, option D is correct.

The area of Rectangle is length times of width.

The given polygon has two rectangles.

Area of rectangle with length 9 and width is 6 units

Area of rectangle 1 =9×6

=54 square inches

Now Area of rectangle with length 10 and width is 3 units

Area of rectangle 2 =10×3

=30 square inches

Total area = 54+30

=84 square units

Hence, the area of the polygon is 84 square units, option D is correct.

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Answer:

r = 20

Step-by-step explanation:

4r - 5 + 105 = 180

4r + 100 = 180

4r = 80

r = 20

x = 3

[tex]3^{3} =[/tex] 3 x 3 x 3 = 27

9x = 9 x 3 = 27

Answer:

Step-by-step explanation:

14/19/24

Answer:

467

Step-by-step explanation:

There were a total 1327 parking lots.

Out of these 816 were taken in the morning, 91 cars left in the afternoon, while 135 came back after lunch.

So there are,

[tex]Cars left = 1327 - (816 - 91 + 135) \\\\ = 1327 - 860\\ = 467[/tex]

Thus, there are 467 parking spots left on Monday afternoon.  

Answer: thank you

Step-by-step explanation:

Answer:

Thanks!

Step-by-step explanation:

Answer: correct

Step-by-step explanation: The solution is x = –1 because .

The solution is x = 1 because .

The solution is x = 0 because .

There are no real number solutions to this equation.

Answer: There are no real number solutions to this equation.

Answer: I know that DC is 12 and AD=8 the others i dont know.

Step-by-step explanation:

This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.

Answer:

it cost Jacob family $32 and he used 7 $5 bill to pay

Step-by-step explanation:

2 × 7 = 14

3 × 6 = 18

18 + 14 = 32

5x - 32 = 3

5x = 32 + 3

5x = 35

x = 35 ÷ 5

x = 7

Answer:

Cos 74°= Sin 16°

Sin 20°= Cos 70°

Sin A°=Cos (90°- A°)

Step-by-step explanation:

This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.

Step-by-step explanation:

[tex]40 - (40 \div 100 \times 65) = \\ = 40 - (0.4 \times 65) = \\ = 40 - 26 = \\ = 14[/tex]

Answer:16 is the answer of your question

hope it is helpful to you

x=102°

Answer:

x+78=180 supplementary angle

x=180-78=102

Answer:

B (340)

Step-by-step explanation:

Answer: AA

Step-by-step explanation:

You can do vertical angles or alternate interior angles. Hope this helps :)

The equation of the line is y = 9x. The correct answer is C.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

the points of line are (1,9) and (0,0).

Now,

In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:

m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9

Then we can use the point-slope form with any of the given points. Let’s use (0, 0):

y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x

This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.

Therefore, the equation of the line will be y = 9x.

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Answer:

Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Step-by-step explanation:

Given

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Solving (a): The radius of the circle

First, we express the equation as:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

So, we have:

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Divide through by 9

[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]

Rewrite as:

[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]

Group the expression into 2

[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

Next, we complete the square on each group.

For [tex][x^2 + 3x][/tex]

1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]

2: Take the [tex]square\ of\ the\ division[/tex]

3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]

So, we have:

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Factorize

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Apply the same to y

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]

Add the fractions

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

By comparison:

[tex]r^2 =\frac{7}{12}[/tex]

Take square roots of both sides

[tex]r =\sqrt{\frac{7}{12}}[/tex]

Split

[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]

Rationalize

[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]

[tex]r =\frac{\sqrt {84}}{12}[/tex]

[tex]r =\frac{\sqrt {4*21}}{12}[/tex]

[tex]r =\frac{2\sqrt {21}}{12}[/tex]

[tex]r =\frac{\sqrt {21}}{6}[/tex]

Solving (b): The center

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

From:

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]

Solve for h and k

[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]

Hence, the center is:

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

Filling in the given information, we find the area of the triangular base to be ...

  726 cm³ = B(12 cm)

  B = 726 cm³/(12 cm) = 60.5 cm²

The area of an isosceles right triangle is half the area of a square with the same side lengths:

  B = 1/2s²

  60.5 = 1/2s²

  s = √(2(60.5)) = √121 = 11

The length of each of the equal sides of the base is 11 cm.

Answer:

e

Step-by-step explanation:

beishdhsjsvsudjdnbdhdjrjdxbxbudsndnbhhxhxbdhddbdbd

Answer:

A scale of 3

Step-by-step explanation:

dd2d2de2f3f

Answer:

>

Step-by-step explanation:

Answer:

c for me

Step-by-step explanation:

hope that helps you

Answer:

Frederick Winslow Taylor

Step-by-step explanation:

Answer:

184

Step-by-step explanation:

Answer:

270 cubic centimeters

Step-by-step explanation:

To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270

Answer:

1.21212121212 or average of basically 1 meter per second

Step-by-step explanation:

Formula: distance over time

Take distance and  divide that by time you would get the answer.

Answer:

The total weight of the file was 64 mb.

Step-by-step explanation:

Given that Rachel downloaded a movie at a constant speed, and after she downloaded 40% of the movie, the remaining download time was 40 seconds, while after she downloaded 40 mb, the remaining download time was 16 seconds, to determine the total size of the movie rounded to the nearest mb, the following calculation must be performed:

100 - 40 = 60

60% = 40 seconds

40 mb = 16 seconds left

16/40 = 4/10

60/40 = 1.5

1.5% for every 1 second of download.

16 x 1.5 = 24

40 + 24 = 64

Thus, the total weight of the file was 64 mb.