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eimsori [14]
2 years ago
10

NEED HELP ASAP!! 40 POINTS!!

Mathematics
1 answer:
tia_tia [17]2 years ago
7 0

answer:

x=95-5√273

so basiclaly 95-5 to the square root of 273.

hope this helps, let me know

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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]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

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

1 cm : 75000 km = y cm : 0.58 km

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

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

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

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

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,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

4 0
2 years ago
write the slope-intercept form of the line with a slope of 2 and a y-intercept of -4. include your work in your final answer.
IgorLugansk [536]
I cant really show you how to graph this but i can try to explain it. you would make a 4 quadrant graph and do rise over run.
1)start by making the graph
2) on the line of the graph marked Y is where you would put -4
3) From -4, you would go up (rise) by 2 and go over to the right 1 where you end is the slop

5 0
3 years ago
Plz help this is complicated
abruzzese [7]

Answer:

Graph attached.

Step-by-step explanation:

In the question the given parameters are as followed.

y=7cos(\frac{x}{2})+1

1). Amplitude a = 7

2). Period = \frac{2\pi }{\frac{1}{2}}=2\pi \times 2=4\pi

3). Vertical shift = 1 means mid line of the graph will be y =1 and maximum of the graph is 8 and minimum is -6.

7 0
3 years ago
Find the slope of the line passing through the points (-5,3) and (-5,-7)
padilas [110]

Answer:

The slope is Undefined.

Step-by-step explanation:

8 0
2 years ago
Enter the answer in the space provided.
Dennis_Churaev [7]

Answer:

Part 1: 1 mile.

Part 2: 1.32 mph.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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