Polly is comparing the cost of cell phone services. The phone she wants costs $899 at BT&T Cellular, and the unlimited calling plan through their carrier would cost $2 per day. At Revizon Electronics, Polly could purchase the same phone for $799 and also get an unlimited calling plan for $3 per day. After some number of days, the two options would end up having the same total cost. What would the total cost be? How long would that take?

Answer:  [tex]\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}[/tex]

The sin(A) goes with 'a'

sin(B) goes with b

sin(C) goes with c

Each angle goes with the corresponding side to form the three fractions shown. You can break up that triple equation into smaller equations such as [tex]\frac{a}{\sin(A)} = \frac{b}{\sin(B)}[/tex] and [tex]\frac{b}{\sin(B)} = \frac{c}{\sin(C)}[/tex] and [tex]\frac{a}{\sin(A)} = \frac{c}{\sin(C)}[/tex]

Note: if you apply the reciprocal to all three sides, then you'll get an equivalent equation. I'm using the rule that A/B = C/D is the same as B/A = D/C.

Answer:

= -11/4

Step-by-step explanation:

To find the slope given two points

m = ( y2-y1)/(x2-x1)

   = (6 - -5)/(-2 -2)

   = (6+5)/(-2-2)

    = 11/-4

    = -11/4

Answer:

-2.75 (-2 3/4)

Step-by-step explanation:

you can do rise of a run whenever you have two points so you have 6-(-5)/-2-2 and solve so -11/4 and that equals -2.75.

Answer:

83.5%

Step-by-step explanation:

Answer:

B, 83.5%

Step-by-step explanation:

I got you dude, I math this out all the time. You divide how many points you have by how many points total to get the answer. You’ll need 3758 to get a A- (total points x 0.9)

Answer:

x = 50

Step-by-step explanation:

0.2x = 10

Divide each side by .2

0.2x/.2 = 10/.2

x =50

Answer:

Step-by-step explanation:

x=50

0.2 x 50 = 10

Answer: X

Step-by-step explanation: The Square root of 68 is 8.246, meaning the closest point to that number is X.

Answer:

8p+102+4p+60 =90

12p+162-162 =90-162

12p. =-72

p =(-6)

CHT=8p+102

={8×(-6) }+102

=(-48)+102

=54

Answer:

12.3693169

Step-by-step explanation:

x^2+y^2=r^2

(12)^2=(3)^2=sqroot(153)

=12.3693169

Answer:

statement 1 and 2 are true

Answer:

(3,5)

Step-by-step explanation:

For this equation, you need to solve it like simultaneous equations. Both of these have a 4y, so that is relatively easy to do, once you know how to.

The signs in front of the 4y are different, so you add the 2 equations (to remove the ys all together).

This should be (2x+-8x)+(-4y+4y)=(-14+-4), or (2x-8x)+(4y-4y)=(-14-4).

This can be expanded to -6x+0=-18, or -6x=-18.

Dividing both sides by -6 leaves you with x=3.

To find y, substitute this x value into either equation (I picked equation 1 as it is simpler). This gives you 2(3)-4y=-14, expanded to 6-4y=-14.

From there, you subtract the 6 from both sides, to get the y alone (giving -4y=-20).

By dividing both sides by -4, you get y=5.

This means the answer is (3,5).

**This question involves simultaneous equations, so you might want to look at that. I'm always happy to help!

Answer:

Quadratic

Step-by-step explanation:

The format for a quadratic function is: y= ax^2+bx+c.

This matches your equation.

Answer:

3:2

Step-by-step explanation:

The circumference is a distance.  The ratio of the distance is the same as the scale factor.  The ratio of the areas is the ratio of the scale factor squared and the volume is the scale factor cubed.

Answer:

AB ≈ 3.14 in

Step-by-step explanation:

arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{30}{360}[/tex]

     = 2π × 6 × [tex]\frac{1}{12}[/tex]

     = 12π × [tex]\frac{1}{12}[/tex]

     = π ≈ 3.14 in ( to the nearest hundredth )

Edited:

(-1,3)

read the text wrong. but the method below holds :D

Step-by-step explanation:

The intersection of the AC line with the BD line is at (1,3)

method: hold an old receipt on my phone screen. would describe it as a graphically approach to the solution

on paper a ruler would be enough to draw the two mentioned lines.

do you need an algebraic way to do it?

Answer:

1. SA

2. VO

3. SA

4. VO

5. SA

6. VO

SA=Surface Area

VO=Volume

Answer:

(16,63,65)

Step-by-step explanation:

Well, by trial and error, it turns out that 16²+63² = 65²

So the pythagorean triplet is (16,63,65)

Answer:

Carly will have to spend $7.25

Step-by-step explanation:

We know that:

1 pound of turkey = $5.80

To find how much 1.25 pounds of turkey will cost, multiply:

5.80 x 1.25 = 7.25

Therefore, 1.25 pounds of turkey will cost $7.25

I really hope this helps!

-SpaceMarsh

Answer:

c

Step-by-step explanation:

Answer:

$281.88

Step-by-step explanation:

Solve for 50% of $522:

522 × 0.50

261

Solve for sales tax:

261 × 0.08

20.88

Solve for total:

261 + 20.88

281.88

Answer:

option B

Step-by-step explanation:

According to Euclidean Geometry , opposite side and opposite angles of parallelogram are equal.

That is,

( 6x + 12 )° = (7x - 8 )°

Answer:

0.1015, 0.11, 0.7, 0.715

Answer:

1) 5, 7, 8

2) 10, 24, 26

Step-by-step explanation:

1) For an acute triangle, the square of the longest side is less than the sum of the square of the two smaller sides.

a) 4² + 5² = 16 + 25 = 41

7² = 49 > 4² + 5².  Therefore the triangle is not acute

b) 5² + 7² = 25 + 49 = 74

8² = 64 < 5² + 7².  Therefore the triangle is acute

c) 6² + 7² = 36 + 49 = 85

10² = 100 > 6² + 7².  Therefore the triangle is not acute

d) 7² + 9² = 49 + 81 = 130

12² = 144 > 7² + 9².  Therefore the triangle is not acute

2) For a right angled triangle, the square of the longest side is equal to the sum of the square of the two smaller sides.

a) 8² + 12² = 64 + 144 = 208

15² = 225 > 8² + 12².  Therefore the triangle is not a right triangle.

b) 10² + 24² = 100 + 576 = 676

26² = 676 = 10² + 24².  Therefore the triangle is a right triangle.

c) 20² + 12² = 400 + 144 = 544

25² = 625 > 20² + 12².  Therefore the triangle is not a right triangle.

d) 15² + 18² = 225 + 324 = 549

20² = 400 < 15² + 18².  Therefore the triangle is not a right triangle.

Answer:

x = 1, y = 1/4

Step-by-step explanation:

[tex]11x + 4 y = 12 \ \ \ ---( 1)\\9x -4y = 8 \ \ \ - - - (2)\\\\(1) + ( 2 ) => 20x + 0 = 20\\\\[/tex]

            [tex]=> x = 1[/tex]

Substitute x = 1 in ( 1 ) :  

                            [tex]11 + 4y = 12\\4y = 12 - 11\\\\y =\frac{1}{4}[/tex]

Answer:

5^8

Step-by-step explanation:

Hey,

Know out exponent division propety knowledge.  We can solve.

5^12/5^4 = 5^12-4=5^8

Hope this helped,

Joe Louis2

Answer:

5^8

Step-by-step explanation:

We know that a^b ÷ a^ c = a^ ( b-c)

5^12 ÷ 5^4 = 5^ (12-4) = 5^8

Answer:

Step-by-step explanation:

Answer:

Option 3 and 4.

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation[/tex]

Given that mean (μ) = 82, standard deviation (σ) = 5

1) For x = 74:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6[/tex]

Option 1 is incorrect

2) For x < 87

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1[/tex]

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%

Option 2 is incorrect

3) For x = 95:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6[/tex]

Option 3 is correct

4) For x < 77

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1[/tex]

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%

Option 4 is correct

5) For x > 92

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2[/tex]

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%

Option 5 is incorrect

18. 3 (-5 + 1) = 6 x -3 = -18 false its -14

19. 1/2 x 2 + 1/4 x 12 = 8 false its 4

Answer:

observations and quadratic formula

Answer:

bring the lines side by side ( example || )

Step-by-step explanation:

Answer:

6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.