What is the total cost of a $350 laptop with a 8% tax rate

Answer:

[tex]24.269\ \text{cm}[/tex]

Step-by-step explanation:

[tex]m\angle A=120^{\circ}[/tex]

[tex]b=13\ \text{cm}[/tex]

[tex]c=15\ \text{cm}[/tex]

From the law of cosines we know that

[tex]a^2=b^2+c^2-2bc\cos A\\\Rightarrow a=\sqrt{b^2+c^2-2bc\cos A}\\\Rightarrow a=\sqrt{13^2+15^2-2\times 13\times 15\cos120^{\circ}}\\\Rightarrow a=24.269\ \text{cm}[/tex]

The side [tex]a[/tex] of the triangle is [tex]24.269\ \text{cm}[/tex].

Answer:

The equation of the line will be:

[tex]y=\frac{5}{3}x-1[/tex]

Step-by-step explanation:

Given the points

Finding the slope between (3, 4) and (12, 9)

[tex]\left(x_1,\:y_1\right)=\left(3,\:4\right),\:\left(x_2,\:y_2\right)=\left(12,\:19\right)[/tex]

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{19-4}{12-3}[/tex]

[tex]m=\frac{5}{3}[/tex]

The equation of the line can be obtained using the point-slope form of the equation of the line

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 5/9 and the point (3, 4)

[tex]y-4=\frac{5}{3}\left(x-3\right)[/tex]

[tex]y-4+4=\frac{5}{3}\left(x-3\right)+4[/tex]

[tex]y=\frac{5}{3}x-1[/tex]

Therefore, the equation of the line will be:

[tex]y=\frac{5}{3}x-1[/tex]

Answer:

y=-1/4x-6

Step-by-step explanation:

you fall 1 for every 4, meaning the rise over run is 1/4 and since its falling, it becomes -1/4.

next, b is equal to -6  because that is your y-intercept (where your line meet the y axis).

so, if you put it all together it becomes y= -1/4x-6

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

[tex]y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20[/tex]

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

[tex]y=mx+b\\y=4x-20[/tex]

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

[tex]y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14[/tex]

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

[tex]y=mx+b\\y=-\frac{1}{4} x+14[/tex]

Answer:

It is C

Step-by-step explanation: The explanation says that he subtracted 10 by 20 and divided by 5 so the real answer is 18 but the answer in your page is C

Your Welcome :)

Answer:

I think is d

Step-by-step explanation:

Hope it helps:)

Answer:

Step-by-step explanation:

Concepts:

Answer: 14.9 ft

How I got it:

[tex]\frac{JK}{IJ}[/tex] = cos 76 degrees

[tex]\frac{3.6}{y}[/tex] = 0.2419

x = [tex]\frac{3.6}{0.2419}[/tex]

x = 14.9 ft

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Its G

Step-by-step explanation:

they can only work 60 hours so 320 +240 is 560 so it matches the graph

Graph G is the suitable graph to represent the lifeguard's weekly earnings in dollars for working more over 40 hours per week.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Given that a lifeguard makes $320 per week for 40 hours worked, plus $12 per hour worked after 40 hours. A lifeguard can work no more than 60 hours each week.

For more than 40 hours of labor, the graph on the y-axis will begin at the point (0, 320). Given that the lifeguard is paid $12 per hour, we must choose the graph with the highest slope.

Slope of graph F = (400 - 320)/(10 - 0) = 80/10 = 8

Now, slope of graph G = (500 - 320)/(15 - 0) = 180/15 = 12

Thus, graph G is the correct option.

Learn more about graph here:

brainly.com/question/16608196

#SPJ6

Answer:

yes it is

Step-by-step explanation:

[tex] (- 9 \times 3.24) - 8 = - 29.16 - 8 = - 37.16[/tex]

Answer:

Part A

This equation is given as

180° = ∠A + ∠B

180° = (2x+5)° + (4x+25)°

Part B

The value of x = 25°

Step-by-step explanation:

We are told in the question that:

Angles A and B are adjacent angles and are supplementary. The measure of ∠A is (2x+5)∘ and the measure of ∠B is (4x+25)∘.

Question 1 Part A Write an equation that can be used to determine the value of x.

Two angles are called supplementary when their measures add up to 180 degrees.

This equation is given as

180° = ∠A + ∠B

180° = (2x+5)° + (4x+25)°

Part B

Solving the equation

180° = (2x+5)° + (4x+25)°

180° = 2x + 5 + 4x + 25

180° = 6x + 30

Collect like terms

180° - 30° = 6x

150° = 6x

x = 150/6

x = 25°

Enter the correct answer in the box.

Answer:

-2.16666666667

Step-by-step explanation:

Answer The answer is A and B

Step-by-step explanation:

Answer:

y interecept is -2

x intercept is 2

its the quiz again isnt it

this stuff shouldnt be to hard i believe

Answer:

0.5

Step-by-step explanation:

Answer:

1.75 i hope this help

Step-by-step explanation:

Answer:

The x-value is -2

Step-by-step explanation:

U can substitute any of the equations for y

-5x + (-9) = 2x + 5

-9 = 7x + 5

-14 = 7x

-2 = x

x = 2

Answer:

2/36 = 5.56%

Step-by-step explanation:

Step-by-step explanation:

31, (25/2) (or 12.5)

26, 10

21, (15/2) (or 7.5)

16, 5

11, (5/2) (or 2.5)

Answer:

82 in

Step-by-step explanation:

Answer:

correct me if I am wrong! but, for finding the perimeter of a figure.. wouldn't you have to add up all of the sides? I'm just gonna that it'd be 82in.

Answer:104

Step-by-step explanation:

So you would take 260 miles and divide by 4 hours to get 65 mph. And since the rate slows by 20%, you would subtract 13 from 65 giving you 52. So the new speed of the tornado is 52 mph. And take that and multiply it by 2 hours to get 104 miles.

Answer:12/18 = 6/9 = 2/3

Step-by-step explanation:

Answer:

there would be 21 girls

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2 x 21 = 10.5

21?

Answer:

$176

Step-by-step explanation:

Janelle and her best friend Carmen go shopping. the function p(t) = 5x^4 - 3x^3 + 2x^2 + 24 represents how much money each girl spent based on the number of hours they were shopping. If Janelle and Carmen each go shopping for 2 hours how much money did they spend together.

$58

$62

$176

$124

p(t) = 5x^4 - 3x^3 + 2x^2 + 24

Solve when x = 2 hours

p(t) = 5x^4 - 3x^3 + 2x^2 + 24

= 5(2)^4 - 3(2)^3 + 2(2)^2 + 24

= 5(16) - 3(8) + 2(4) + 24

= 80 - 24 + 8 + 24

= $88

how much money did they spent together?

= $88 × 2

= $176

They both spent $176 altogether

Answer:

x= -1.83

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x - 10 = x + 30

2x = 40

x = 20

Answer:

X > 9/5

Step-by-step explanation:

2/3x - 1/5 > 1

Answer:

the answer is 9/5.

you can copy and paste the answer I put in if you want or u can just type it in edge

Answer:

1st is one is around 4

2nd is 3

3rd is 4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The set up will give a right angled triangle;

altitude (opposite side ) = 1700m

angle of depression = 25degrees

Required

distance from the plane to the rock (adjacent side)

Using the SOH, CAH, TOA identity;

According to TOA

tan 25 = opposite/adjacent

tan25 = 1700/adj

adj = 1700/tan 25

adj = 1700/0.4663

adj = 3,645.72m

Hence the distance from the plane to the rock to 1 dp is 3,645.7m