Answer:
Both candles will have the same height after 4 hours.
Step-by-step explanation:
The equation for the amount of candle remaining can be given by the following equations:
In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.
Red candle:
8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that 
. So
Blue candle:
6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that 
. So
After how many hours will both candles be the same height ?
This is t when
![0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2](https://tex.z-dn.net/?f=0.2t%20-%200.7t%20%3D%206%20-%208%5B%2Fyrc%5D%3C%2Fp%3E%3Cp%3E%5Btex%5D-0.5t%20%3D%20-2)
Multiplying by (-1)
Both candles will have the same height after 4 hours.
Answer:
190.9 in³
Step-by-step explanation:
Whenever one is asked to find how much(quantity of something) a certain container can hold,all you need to understand is that you are been asked about the volume of that container
We all know that the volume of a sphere is 4/3 × 22/7 × r³
And since we are dealing with a container in the shape of half a sphere,the volume of that container will now be volume of a sphere divided by 2
If the formula that was given initially was divided by 2,the new formula will look like this:
4/6 × 22/7 × r³
And we have the diameter but not the radius and we know that to find the radius, all we need to do is to divide the diameter by 2
That is 9/2 = 4.5
Putting the values in the formula,we can now derive the volume of that sphere
4/6 × 22/7 × 4.5³
= 190.9 in³ of soil
Answer:
∠COD and ∠DOB are complementary angles .
Step-by-step explanation:
Definition of Complementary angles
Two angles whose sum is equal to 90 degree is called complementary angles .
As the figure given in the question .
Clearly
∠COD + ∠BOD = 90°
Therefore ∠COD and ∠DOB are complementary angles .
