Angle Angle Side Congruence Theorem proves ΔMNQ = ΔPNQ.
Answer:
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Step-by-step explanation:
Answer: $60
Step-by-step explanation:
Given that:
Amount left after purchasing sneakers = $12
$12 is equivalent to 20% of the initial starting amount
Let starting amount = x
20% of x = $12
0.2x = $12
Divide through by 0.2
0.2x / 0.2 = $12 / 0.2
x = $60
Hence, starting amount before buying sneakers is $60
How fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.
To solve the question, we need to know the volume of a sphere
<h3>
Volume of a sphere</h3>
The volume of a sphere V = 4πr³/3 where r = radius of sphere.
<h3>How fast the volume of the sphere is changing</h3>
To find the how fast the volume of the sphere is changing, we find rate of change of volume of the sphere. Thus, we differentiate its volume with respect to time.
So, dV/dt = d(4πr³/3)/dt
= d(4πr³/3)/dr × dr/dt
= 4πr²dr/dt where
- dr/dt = rate of change of radius of sphere and
- 4πr² = surface area of sphere
Given that
- dr/dt = + 3 cm/s (positive since it is increasing) and
- 4πr² = surface area of sphere = 10 cm²,
Substituting the values of the variables into the equation, we have
dV/dt = 4πr²dr/dt
dV/dt = 10 cm² × 3 cm/s
dV/dt = 30 cm³/s
So, how fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.
Learn more about how fast volume of sphere is changing here:
brainly.com/question/25814490
18 liters of 14% bleach contains 0.14×18 = 2.52 liters of bleach.
Adding 
liters of pure water to the solution increases the total volume to 
liters without changing the total amount of bleach.
To end up with a 10% bleach solution, we must add
liters of water.
