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,




Answer:
Step-by-step explanation:
Just to keep the computer happy by not having to figure out rounding answers that involve square roots and other problem numbers. I've chosen numbers that should work out evenly. And you should be able to draw the trapezoid.
Givens
H = 14
a = 23
b = 25
Area = 336
Formula
Area = (a + b)*h/2
Solution
Area = (23 + 25)*14/2
Area = 48 * 7
Area = 336
Note if a + b = 48 any values for a and b will work.
Answer:
Can I have the options? I cant check all that apply if i don't have options.
Step-by-step explanation:
Answer:
It should be obtuse.
Step-by-step explanation: if i'm not mistaken it has to be obtuse. sorry i'm still learning i'm a beginner but, i'm volunteering to help everyone anyways because i'm a very nice person.
Answer:
£55.25
Step-by-step explanation:
Cost after reduction
=Cost before sale - Reduction in cost
= 85 - 35% of 85
= 85 - 0.35*85
= 85 - 29.75
= £55.25