X is less then or equal to 1<u /><em /><u />
I think that the 4 sisters get 3 pieces each of the muffins because if you cut it in four pieces it gives one piece to each one of the four sisters and you keep doing it with the other two left muffins.
Answer:
18.0 cm to 1 decimal point.
Step-by-step explanation:
First work out the unknown side (s) of the right triangle using the Pythagoras theorem:
s^2 = 13^2 - 5^2
= 169 - 25 = 144
s = sqrt 144 = 12 cm.
Now consider the other triangle:
s = 12
The missing angle = 180 - 65 - 40 = 75 degrees.
By the Sine Rule:
x / sin 75 = 12 / sin40
x = 12 sin 75 / sin 40
= 18.03
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Answer:
y = 0.64/x^3
Step-by-step explanation:
If y is inversely proportional to a^3, we can write the equation:
y * a^3 = k
Using a = 2 and y = 10, we have:
10 * 2^3 = k
k = 80
If a is directly proportional to x, we can write the equation:
a = c * x
Using x = 4 and a = 20, we have:
20 = c * 4
c = 5
Now, using the value of a = 5*x in the equation y * a^3 = 80, we have:
y * (5x)^3 = 80
y * 125x3 = 80
y = 80/(125x3) = 0.64/x^3
Answer:
rate of motorboat: b
rate of current: c
So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$
Step-by-step explanation:
d = rt
200 = (b - c)\cdot 5
200 = (b + c)\cdot 4
b - c = 40
b + c = 50
Adding these equations, we get:
2b = 90
b = 45
So
c = 50 - 45 = 5
<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>
Hope this helps :)
