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telo118 [61]
3 years ago
10

A railway engine starts shunting wagons by first going 1000m north of railway station. It reverses and travels 1250m and then it

again moves 600m north. Finally moving 800m south it comes to rest. How far is the engine from the station and in which direction?
Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

450m South

Step-by-step explanation:

Total distance traveled Northward :

1000m + 600m = 1600m Northward

Total distance traveled Southward :

1250m + 800m = 2050m

The Displacement :

Southward - Northward

2050m - 1650m

= 450m

Since, it covers more distance towards the south, then, direction is southward

450m South

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Identify whether the given numbers are perfect squares, perfect cubes, or neither.
Anna [14]
8- perfect cube. 2×2×2=8
9-perfect square. 3×3=9
21- neither.
27- perfect cube. 3×3×3=27
1331- perfect cube. 11×11×11=1331
1332- neither
100- perfect square. 10×10=100
1000- perfect cube. 10×10×10=1000
126- neither
125- perfect cube. 5×5×5=125
25-perfect square. 5×5=25
81-perfect square. 9×9=81
5 0
3 years ago
3x^2+48=0, solve the equation
MAXImum [283]

Answer:

16 + x2 = 0     (16)

I THINK

Step-by-step explanation: Simplifying

3x2 + 48 = 0

Reorder the terms:

48 + 3x2 = 0

Solving

48 + 3x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-48' to each side of the equation.

48 + -48 + 3x2 = 0 + -48

Combine like terms: 48 + -48 = 0

0 + 3x2 = 0 + -48

3x2 = 0 + -48

Combine like terms: 0 + -48 = -48

3x2 = -48

Divide each side by '3'.

x2 = -16

Simplifying

x2 = -16

Reorder the terms:

16 + x2 = -16 + 16

Combine like terms: -16 + 16 = 0

16 + x2 = 0

The solution to this equation could not be determined.

8 0
3 years ago
Please check screenshot
nata0808 [166]

Answer:

im sorry but whats the question exactly i will try to awnser it

Step-by-step explanation

6 0
3 years ago
The figure below shows two half-circles at the ends of a rectangle with the dimension shown.
timurjin [86]

Answer:

D. 154

Step-by-step explanation:

The area of the rectangle is 15*5= 75 inches

The area of the 2 semicircles combined, which make a circle, are:

π*r², where r is 5

r²=25

π*25=78.53981633

75 + 78.53981633 is about 154

5 0
2 years ago
8(5-32) equal to and explain <br> please help
Gre4nikov [31]
You would use order of operations: PEMDAS
P(parenthesis) E(exponents) MD(multiplication/division) AS(addition/subtraction)
with MD and AS order doesnt matter.
8(5-32) you would start with inside the Parenthesis for "P" so (5-32)=(-27)
next you would go to the E but because you dont have an exponent you go to the next step with is the "MD" you have multiplication so next would be 8(-27) and 8 multiplied by -27 is: 8(-27)= -216
ANSWER: -216
4 0
3 years ago
Read 2 more answers
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