if there's 1 boy to every 4 girls, there's going to be 5 boys for every 20 girls
Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
<span>From the first equation, y = 192 / x.
Substitute that into the second equation:
</span>
x + 2y = x + 2(<span>192/x ) = x + 384/x
</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2
<span>1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/
</span>
14/15-5/12 = 31/60
31/60 = 0.5166...
The answer is C
Because the sum of the angles are not up to 180
which makes way for other angles.
Answer:
Step-by-step explanation:
From similar triangles, see diagram in attachment
We solve for 
to obtain,
The formula for calculating the volume of a cone is
We substitute the value of to obtain,
This implies that,
We now differentiate both sides with respect to 
to get,
We were given that water is drained out of the tank at a rate of 
This implies that 
.
Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means 
.
We substitute this values to obtain,
