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LenaWriter [7]
3 years ago
11

The graph represents one side of the roof of a building. The slope of the line is

Mathematics
2 answers:
Aliun [14]3 years ago
6 0

Answer:

7/2, 3.5 (depending on which form you want it in)

Step-by-step explanation:

Looking at the numbers on the side, lets take two points they already gave us.

It goes up 14, and over 4 from 0,0.

14/4 Simplify.

7/2

7/2 is your slope

Note:

For those asking why it isn't "10/3" or anything else, It's because we can't be sure the line crosses that coordinate at that point. So lets just take two points where we know the actual coordinates, and derive the slope from that because it's more accurate.

s2008m [1.1K]3 years ago
6 0

The slope of the line is 7/2.

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The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
finlep [7]

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a. 1 200 000 km

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Step-by-step explanation:

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Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

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So, 1 cm/75000 km = y cm/0.58 km

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Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So,  1 cm² : 5 625 000 000 km² = 12 cm² : z km²

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Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

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