Answer:

Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
The two equal angles are called the base angles and the third angle is called the vertex angle
In this problem the triangle ABC is an isosceles triangle
so



The sum of the internal angles of a triangle is equal to 
so
Find the value of y




Answer:
4 is f and 5 is t
Step-by-step explanation:
Answer:

Step-by-step explanation:

Subtract 5 from both sides.

Simplify.

Multiply both sides by 4.

Simplify.

Divide both sides by 3.

Simplify.

Answer:
Explanation:
You need to use derivatives which is an advanced concept used in calculus.
<u>1. Write the equation for the volume of the cone:</u>

<u />
<u>2. Find the relation between the radius and the height:</u>
- r = diameter/2 = 5m/2 = 2.5m
<u>3. Filling the tank:</u>
Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.
The ratio x/y is the same r/h
The volume of water inside the cone is:


<u>4. Find the derivative of the volume of water with respect to time:</u>

<u>5. Find x² when the volume of water is 8π m³:</u>
m²
<u>6. Solve for dx/dt:</u>


<u />
<u>7. Find dh/dt:</u>
From y/x = h/r = 2.08:

That is the rate at which the water level is rising when there is 8π m³ of water.