A network of roads connects locations T, O, W, N, and S. How many different routes are there to travel from T to W along the given roads (line segments) without retracing any part of the route or going to any town more than once per route?

Answer:

[tex]x\approx7.8[/tex]

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(23^\circ)=\frac{x}{20}[/tex]

[tex]20sin(23^\circ)=x[/tex]

[tex]x=20sin(23^\circ)[/tex]

[tex]x\approx7.8[/tex]

Therefore, the length of the opposite side is about 7.8 units

Answer:

Answer:

x= 90 degrees

y=43 degrees

Step-by-step explanation:

Answer:

part A

y = 2x -1

the slope is 2/1 means it will be up 2 right 1 or down 2 left 1 the slope is positive

the y-int is -1

y = 4x -5

the slope is 4/1 means it will be up 4 right 1 or down 4 left 1 the slope is positive

the y-int is -5

part B  

the solution to this is (2,3)

Step-by-step explanation:

Answer:

Part A:

y = 2x - 1

Slope = 2/1

Y intercept = -1

y = 4x -5

Slope = 4/1

Y intercept = -5

Part B:

x = 2    y = 3

Step-by-step explanation:

Part A: To solve the pair of equations graphically, we need to plot the 2 lines on a graph, and look at where they intercept. Then we draw a vertical line from the intersection to the x axis and we know what x is equal to. Laslty, we draw another line (horizontal) from the intersetcion to the y axis and we know what y is equal to.

Equation of a line: y = mx + c

where mx is the slope and c is the y intercept

y = 2x - 1

Slope = 2/1 -- 2 divided by 1 because it goes 2 squares up and 1 to the right

y intercept = -1

y = 4x - 5

Slope = 4/1

y intercept = -5

Part B:

Solving for x:

Since we know that y = 2x - 1 but also 4x - 5, then:

2x - 1 = 4x - 5

2x + 4 = 4x

4 = 2x

x = 2

Solving for y:

Since we know that x = 2, we just have to replace it in one of the two equations, let's say y = 2x - 1. This would give us:

y = 2 x 2 - 1

y = 4 - 1

y = 3

Answer:

18/10

Step-by-step explanation:

got it right.

Answer:

decrease

Step-by-step explanation:

the percent change measures FROM the first value. A change from 50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50). A change from 75 to 50 is a change of -33.3% (25 is still the difference between the two. 25 is 33.3% of 75

Answer:

0.005*1000dag

5dag

0.075*100cm

7.5cm

Step-by-step explanation:

for the first one let's write our equation

(13x+2)+(3x-4)+(5x-7)=180

Combine like terms

21x-9=180

Add 9 to both sides

21x=189

Divide both sides by 21

x=9

Now for the second one

Let's write our equation

(19x-18)+(7x+1)+(10x-9)=180

Combine like terms

36x-26=180

Add 26 to both sides

36x = 206

Divide both sides by 36

x = 5.72222...

Answer:

1. yes

2. no

3.no

Step-by-step explanation:

You can just distribute to see if it matches up with the other expression.

Answer:

Whats the question

Step-by-step explanation:

Answer:

11, 15

Step-by-step explanation:

They both occur two times so they are tied for mode so both numbers is the answer

Exactly what was your answer for a

Answer:

Option D

Step-by-step explanation:

(x + 8) (2x² - 5x - 3)

=> (2x³ - 5x² - 3x) + (16x² - 40x - 24)

=> 2x³ + 11x² - 43x - 24

Hope this helps!

Answer:

To divide two polynomials, here are the procedures: Arrange both the divisor and dividend in descending order of their degrees. Divide the 1st term of the dividend by the 1 st term of the divisor to obtain the 1st term of the quotient. Find the product of all the terms of the divisor and the 1st term quotient and subtract the dividend's answer. More items...

Step-by-step explanation:

Answer:

7.44

Explanation:

MAD = 1/n sigma | xi - x of line |

Answer:

x = 158

y = 22

Step-by-step explanation:

A triangle's inside sides sum up to 180 degrees. So to find the angle y, just take 180 - the sum of the other two sides.

70 + 88 =  158

180 - 158 = 22

y = 22 degrees

Now, to find angle x, since x and y are next to each other on a straight line, it means they are supplementary angles. Supplementary angles add together to equal 180, so just substract y from 180 to get x.

180 - 22 = 158

x = 158 degrees

Answer:In each step the number is double that of the previous step.

Step-by-step explanation:

In each step the number is double that of the previous step.

0    5

1    10

2   20

3   40

4    80

This can be written as 5*(2)^n, where n is the step number.  e;g;, 5*2^0 = 5 for step 0.  For step 4:  5*2^4 = 80.

Answer:

38+9.49x < or = 100

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18

According to the question:

let y and x represent amount of juice and oranges respectively;

k = 5/3

The ratios equivalent to the constant of proportionality is 15/9, 30/18

Read more:

https://brainly.com/question/18611326

Answer:

Step-by-step explanation:

9:15 15:25 6:10

Answer:

x = 16

Step-by-step explanation:

(8x - 14) = (5x + 34) since they are alternate exterior angles.

Solve for x:

8x - 5x - 14 = 34

3x - 14 = 34

3x = 34 + 14

3x = 48

x = 48/3  = 16

Answer:

40

Step-by-step explanation:

Answer:

40.20 luv:)

Step-by-step explanation:

Step-by-step explanation:

you mean "differentiable" ?

well, remember, a line equation is

y = ax + b

a is the slope

it is always, ALWAYS the factor of x.

now we differentiate the line equation per dx/dy

y' = a

and that is that.

the first derivative of an equation of first degree (that means the highest exponent of the variable is 1), which is a line equation, is a constant : the factor of x.

and since the factor of x is the slope, that means that the constant result of the first derivative of the line equation is the slope.

Answer:

Step-by-step explanation:

In exponents multiplication, if bases are same, add the powers

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]

Answer:

Your answer would be:
-1/5 or -0.2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

$40.5.

Step-by-step explanation:

if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.

Answer:

(f) can you plz mark brainiest

Step-by-step explanation:

Answer:

x=9

y=4

Step-by-step explanation: