Solve the problem.

GAMING In a video game, the user navigates a character across an unknown land using a map. On the map, the distance between the

soldi70 [24.7K]

The question is an illustration of scale drawing

The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point

<h3>How to calculate the actual distance</h3>

The distance on the map are given as:

A =2 cm

B = 8 cm

C = 7 cm

The total distance on the map would be:

$Total =2cm + 8cm + 7cm$

$Total =17cm$

The actual distance between the store and the dungeon is 4 kilometers.

This means that:

$B' =4km$

So, we have:

$Scale = B : B'$

$Scale = 8cm : 4km'$

Represent the required actual distance with x.

So, we have:

$17cm : x = 8cm : 4km$

Express as fraction

$\frac{x}{17} = \frac 48$

Multiply both sides by 17

$x = \frac 48 * 17$

$x = 8.5$

Hence, the actual distance travelled is 8.5 km

Read more about scale drawing at:

brainly.com/question/24579126

6 0

3 years ago

Your drawer contains 10 red socks and 11 blue socks. It's too dark to see which are which, but you grab two anyway. What is the

beks73 [17]

For red there would be 1/22 and for blue there would be 1/22

6 0

3 years ago

Read 2 more answers

Tell whether the lines through the given points are parallel, perpendicular, or neither.

antoniya [11.8K]

Answer:

The Slope of Line 1 is -> $-\frac{2}{9}$

The Slope of Line 2 is -> $-\frac{9}{2}$

These two lines are - > Perpendicular

Step-by-step explanation:

To find the slope of line one, you follow these steps:

First Coordinate 10 -> x1, 5 -> y1

Second Coordinate -8 -> x2, 9 -> y2

Then insert the assigned values into this equation: $\frac{y2-y1}{x2-x1}$ -> $\frac{9-5}{-8-10}$ which equals $\frac{4}{-18}$ which simplifies to $-\frac{2}{9}$

Then do the same process to find the slop of line 2:

First Coord: 2 -> x1, -4 -> y1

Second Coord: 11 -> x2, -6 -> y2

Then insert the values into this equation: $\frac{y2-y1}{x2-x1}$ -> $\frac{11-2}{-6-(-4)}$ which equals $\frac{9}{-2}$ .

We know the lines are perpendicular by:

a. Typing the equations of the lines into a graphing calculator and observing the graph

b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.

Hope this helps!

5 0

3 years ago

What is the volume of this square pyramid?

tatuchka [14]

Answer: 1296 cm³

Step-by-step explanation:

Since, the volume of a square pyramid is,

$V = \frac{a^2h}{3}$