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Lemur [1.5K]
3 years ago
9

The scale of a map is 1:50000. A lake on the map is 6.16cm². find the actual area of the lake in hectares.

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0

Answer:

1.54 [km²].

Step-by-step explanation:

1) the given scale is for linear functions, the given area of the lake is quadratic function. According to this

2) actual area = given area *50000 *50000;

3) the given area=0.000616 [m²],

the actual area=0.000616*50000*50000=1540000 [m²] or 1.54 [km²].

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9514 1404 393

Answer:

  ∠16 = 47°

Step-by-step explanation:

Vertical and corresponding angles are congruent. The remainder are supplementary to those.

∠1≅∠4≅∠5≅∠7≅∠10≅∠12≅∠13≅∠15 = 133°

∠2≅∠3≅∠6≅∠8≅∠9≅∠11≅∠14≅∠16 = 47°

8 0
3 years ago
The ratio of Ed's toy cars to Pete's toy cars was initially 5:2. After Ed gave 30 toy cars to Pete, they each had an equal numbe
Slav-nsk [51]

Answer:

140 toy cars

Step-by-step explanation:

The ratio of Ed's toy car to Pete's toy car is initially given as 5:2

Ed gave Pete a total number of 30 cars

Let x represent the greatest common factor that exists between both number

Number of Ed's car is represented as 5x

Number of Pete car is represented as 2x

Since they each have an equal number of cars which is 30 then we can solve for x as follows

5x-30=2x+30

Collect the like terms

5x-2x= 30+30

3x= 60

Divide both sides by the coefficient of x which is 3

3x/3=60/3

x=20

Ed's car is 5x, we substitute 20 for x

5(20)

= 100 cars

Pete car is 2x,we substitute 20 for x

2(20)

= 40 cars

Therefore, the total number of cars can be calculated as follows

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Hence they have 140 toy cars altogether

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3 years ago
Read 2 more answers
Which difference is about 10?
Helga [31]

Option B is the answer.

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If a car dealership buy as car for $9000, and wants to make a 45% profit, how much do they need to sell the car for? ​
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Answer:

A car dealership needs $13050 to sell the car to earn the 45% profit if a car dealership buys a car for $9000.

Step-by-step explanation:

Car cost = $9000

Profit percentage = 45% profit

Thus,

Profit amount = 45% of 9000

                       = 45/100 × 9000

                       = 0.45 × 9000

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In order to determine how much a car dealership needs to sell the car to earn the 45% profit, all we need is to add the profit amount i.e. $4050, and the car cost i.e. $9000.

i.e.

Car cost + Profit amount = $9000 + $4050

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Therefore, a car dealership needs $13050 to sell the car to earn the 45% profit if a car dealership buys s car for $9000.

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