If 10 cm on a map represents 25 km of actual ground, how many centimetres would 45 km of actual ground be on a map?

Answer:

B

Step-by-step explanation:

Given:

AB is the diameter of a circle whose center is the point (4,-3).

Coordinates of A are (-1,5).

To find:

The measure of AB.

Solution:

Let point O(4,-3) be the center of the circle.

Then, OA is the radius of the circle.

We know that, diameter of a circle is twice of its radius.

So, [tex]AB=2(OA)[/tex]       ...(i)

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between O and A is

[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]

[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]

[tex]OA=\sqrt{25+(8)^2}[/tex]

[tex]OA=\sqrt{25+64}[/tex]

[tex]OA=\sqrt{89}[/tex]

Now, using (i), we get

[tex]AB=2(OA)[/tex]

[tex]AB=2(\sqrt{89})[/tex]

[tex]AB=2\sqrt{89}[/tex]

Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.

Step-by-step explanation:

019

Answer:

the slope is -300

Step-by-step explanation:

y=mx+b

m is slope

Answer:

A) 22.2

Step-by-step explanation:

I took AMC 8 and got it right. ^^

Answer:

[tex]y=\frac{5}{2}x-5[/tex]

[tex]\frac{5}{2}x-y=5[/tex]

Step-by-step explanation:

As the x-intercept is 2, therefore the point representing

the x-intercept will be: (2, 0)

As the y-intercept is -5, therefore the point representing

the y-intercept will be: (0, -5)

So we get the two points

(2, 0)

(0, -5)

Finding the slope between (2, 0) and (0, -5)

[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]

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

[tex]m=\frac{-5-0}{0-2}[/tex]

[tex]m=\frac{5}{2}[/tex]

Using the point-slope form of the line equation

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

Here m is the slope

substituting the values m = 5/2 and the point (2, 0)

[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]

so writing the equation in slope-intercept form

As we know that the slope-intercept form is

[tex]y=mx+b[/tex]

here

so

[tex]y=\frac{5}{2}\left(x-2\right)[/tex]

[tex]y=\frac{5}{2}x-5[/tex]

Hence, the equation in slope-intercept form is

[tex]y=\frac{5}{2}x-5[/tex]

Writing the equation in the standard form form

As we know that the equation in the standard form is

[tex]Ax+By=C[/tex]

where x and y are variables and A, B and C are constants

As we already know the equation in slope-intercept form

[tex]y=\frac{5}{2}x-5[/tex]

so the equation in the standard form will be:

[tex]\frac{5}{2}x-y=5[/tex]

Answer:

9x=2

Step-by-step explanation:

4 - 6(3 - 2x) = 3(x -4)

4 - 18 + 12x = 3x - 12

12x - 14 = 3x - 12

12x - 3x = 14 - 12

9x = 2

hope you are happy with the answer ;)

Answer:

28m

Step-by-step explanation:

2x+x=42

3x=42

x=14

However, since the length of the rectangle is twice the width, we'll need to multiply it by 2.

So: 14 times 2=28

Answer:

Use a calculator to add the cost of each item but don’t forget that there is tax!!

Step-by-step explanation:

Answer:

Use a calculator to add the cost of each item but don’t forget that there is tax!!

and usually is 15% of what is the total cost of each item without tax.

Step-by-step explanation:

Answer: x= 15

Steps shown in image below

Answer:

x=15

Step-by-step explanation:

they are supplementary so they add up to 180.

7x-9+5x+9=180

simplify

12x=180

divide by 12

x=15

Answer:

a

Step-by-step explanation:

math

Answer:

Don't cheat that's lame

Answer:

stop cheating boi

Step-by-step explanation:

Answer:

B= -7/5

Step-by-step explanation:

Subtract the 2nd y from the first (2-9)

Subtract the 2nd x from the first (11-6)

-7/5

Answer:

A. $14.40

B. ?

C. $21.60

Step-by-step explanation:

I just know it’s right lol

Answer: 54

9% of 600 would be 54.

Answer:

y=80-8x

Step-by-step explanation:

Bc the 80 is what it started at and the x represents the hour

(In y=mx+b form)

Answer:

1)

x=8 degrees

<B=70 degrees

2)

<MON=57 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps :)

plz mark as brainliest

Answer:

The first month new members have to pay 188 dollars for the membership.

The equation is 160x+28=y

x stands for the number of months and y stands for the total cost.

For the first month (membership starts) the total cost is 188$. For the second month the total money paid would be 348$. For the third month the total money paid would be 508$. And so on you can use the equation to solve for more months. Just substitute x for the number of months you are solving for.

can you writ the answe in a sheet on paper

Step-by-step explanation:

Make t the subject of the formula (5÷ t) -2 = s

__________________________________________________________

all the questions is on my page there is more 4

Answer:

Lin needs 3 cups of flour and 6 cups of sugar. Noah needs 6 cups of sugar and 4 cups of flour.

Step-by-step explanation:

I want you to figure out how to do.

Answer:

5 hours

Step-by-step explanation:

252 divided by 12= 21

21x5=105

Answer:

22.68 or 22.7

Step-by-step explanation:

hope this helps

Answer:

23

My logic:

Well i just rounded up to the nearist one because you didn't specify how to round.

Answer:

You could design a solar panel.

Step-by-step explanation:

Nature uses sunlight to grow and provide food for animals, but it only uses what it needs. And it forms a function. So by designing a solar panel, you imitate the way nature works. Solar panels only soak in sunlight for energy when it needs it, which is a function that provides electricity.

(What the question is asking is that you design a product in which some of the aspects listed would be imitated)

Answer:

i Think it would be B

Step-by-step explanation:

Answer:

The answer would be B=-8>80

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 12

Step-by-step explanation:

The slope-intercept form formula, , can be used to write an equation for the line.

Where,

m = slope =  

b = y-intercept, which is the point at which the line intercepts the y-axis. At this point, x = 0.

Let's find the slope (m) using the coordinates of the two points given, (0, 30), (3, 60).

Let,

y-intercept of the line, b = 30

Equation for the line would be:

Using the equation, find x when y = 150.

Simply substitute the value for y in the equation to find x.

Subtract 30 from both sides

Divide both sides by 10

x = 12

Answer: 3/1300

Sorry I’m late !!

Answer:

The side s has a length of 4 and side q has a length of 4[tex]\sqrt{3}[/tex] ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         [tex]\sqrt{3}[/tex]            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         [tex]\sqrt{3}[/tex]            :        2

       s               :          q             :        8

→ By using cross multiplication

∵ s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

∴ s = 4

∴ The length of s is 4

∵ q × 2 = [tex]\sqrt{3}[/tex] × 8

∴ 2q = 8[tex]\sqrt{3}[/tex]

→ Divide both sides by 2

∴ q = 4[tex]\sqrt{3}[/tex]

∴ The length of q is 4[tex]\sqrt{3}[/tex]