Step-by-step explanation:
-x+2y=-6
x-2y=6
x=2y+6
substitute in 2x-3y=11 gives us 2(2y+6)-3y=11
4y+12-3y=11
y=-1
-x+2(-1)=-6
-x=-4
x=4
Answer:
1/2
Step-by-step explanation:
Rain : sunny : overcast
7:11:3
7x + 11x + 3x = 366
21x = 366
x = 366/21
x = 17.43
7(17.43) = 122.01 days rain
11(17.43) = 191.73 days sunny
3(17.43) = 52.29 days overcast
Step-by-step explanation:
By Pythagoras' theorem,
12^2 = 11^2 + height^2
height = ±√12^2 - 11^2 (rej -ve value since height > 0)
height = 16.279 (5sf) = 16.3 (nearest tenth place)
Topic: Pythagoras theorem
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Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere (
), measured in cubic centimetres, is obtained from this formula:

Where
is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter (
), measured in centimetres, then:

(
)


Now, we get the volume of each hemispherical bowl:


The total volume of six hemispherical bowl is:



From Physics we know that 1 litre equals 1000 cubic centimetres. Then:

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.