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Allushta [10]
3 years ago
11

The scale on a map is 1 : 30 000 What is the actual distance represented by 1 centimetre?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

300\ m

Step-by-step explanation:

we know that

The scale on a map is 1 : 30,000

we can say that

1\ cm on a map is equal to 30,000\ cm in the actual

so

Convert centimeters to meters

Remember that

1\ m=100\ cm

30,000\ cm=30,000/100=300\ m

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Help please :( 4^5 x 4^ -7 divide by 4^ -2 ?
alexandr1967 [171]

Answer:

4⁻⁴

Step-by-step explanation:

4⁵ × 4⁻⁷ ÷ 4⁻²

⁺ ⁵ ⁻ ⁷

= ⁻²

⁻ ² ⁻ ²

= ⁻ ⁴

4⁻⁴

7 0
3 years ago
What is the volume of the square pyramid shown below?
NemiM [27]

Answer: C) 147cm^{3}

Step-by-step explanation:

First we need to calculate the area of the square base.

This is 7*7 which equals 49 cm squared.

Plug this value into the formula of a square pyramid which will be V = 49 * \frac{h}{3}, now plug in the h, which is 9 cm.

V = 49 * \frac{9}{3}

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4 0
3 years ago
You are standing on top of a building looking down at your friend who is getting chased by a zombie. The building is 150 feet ta
Naddika [18.5K]

Answer:

a) 125.865 ft

b) 321.676 ft

c) 195.811 ft

Step-by-step explanation:

Given:-

- The height of the building, H = 150 ft

- The angle of elevation ( friend - top of building ), θ1 = 50°

- The angle of elevation ( zombie - top of building ), θ2 = 25°

Find:-

a) How far away is your friend from the building

b) How far away is the zombie from the building

c) How far away is the zombie from your friend

Solution:-

- We will consider the two right angle triangles with similar height ( H ) which denotes the height of the building.

- The distance your friend is from the building is ( x1 ) and looks up to the top of the building with angle of elevation of ( θ1 ).

- We can apply the trigonometric ratio for the right angle triangle formed between your friend, foot of the building and you ( on top of the building ):

                    tan ( θ1 ) = H / x1

                    x1 = H / tan ( θ1 )

                    x1 = 150 / tan ( 50° )

                    x1 = 125.865 ft    ... Answer ( a )

- The distance zombie is from the building is ( x2 ) and looks up to the top of the building with angle of elevation of ( θ2 ).

- Similarly, apply the appropriate trigonometric ratio for the right angle triangle formed between zombie, foot of the building and you ( on top of the building ):

                    tan ( θ2 ) = H / x2

                    x2 = H / tan ( θ2 )

                    x2 = 150 / tan ( 25° )

                    x2 = 321.676 ft    ... Answer ( b )    

- The distance between your friend and the zombie ( s ) can now be determined from subtracting the distance of your friend from the building from distance of the zombie from the building:

                    s = x2 - x1

                    s = 321.676 - 125.865

                    s =  195.811 ft    ... Answer ( c )              

8 0
3 years ago
Diana invests $25,000 in a bank at the beginning of the year. She will receive 7% interest at the end of the year, but she will
mina [271]

Answer:

A) $1470

B) 5,88%

Step-by-step explanation:

B) Diana will end up with 100% -16% = 84% of the interest she earns, so her effective interest rate is ...

... 7% × 84% = 5.88%

A) Diana's investment earns ...

... 0.0588 × $25000 = $1470

8 0
3 years ago
(6x2 -5x + 10) - (2x2 -x +13)
Sidana [21]

Answer:

-4x + 5 ?

sorry if wrong

6 0
3 years ago
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