Answer:
x = 8
m∠BOC = 37°
m∠AOB = 53°
Step-by-step explanation:
If OA is perpendicular to OC, this means that <AOC = 90°
Given
m∠BOC=6x−6
m ∠AOB = 5 x + 8
The expression is true
m∠BOC+m∠AOB= m∠AOC
6x-6+5x+8 = 90
Find x:
11x + 2 = 90
11x = 90-2
11x = 88
x = 88/11
x =8
Get m∠BOC:
m∠BOC= 6x-6
m∠BOC= 6(8)-11
m∠BOC = 48-11
m∠BOC= 37°
Get m∠AOB;
m∠AOB = 90-m∠BOC
m∠AOB =90-37
m∠AOB = 53°
Answer:
x = 10
Step-by-step explanation:
We know x = 6
asked: x + 4
Plus it in =>
6 + 4
=> 10
Answer:
B.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
As given in the question, we know that:
The ratio of the area of the circle to the area of the square is π/4
- The formula to find the volume of the cone is:
V = 1/3*the height*the base area
<=> V1 = 1/3*h*π
- The formula to find the volume of the pyramid is:
V2 = 1/3*the height*the base area
<=> V = 1/3*h*4
=> the ratio of volume of the cone to the pyramid is:
= 
= (1/3*h*π
) / ( 1/3*h*4
)
= π/4
S we can conclude that the volume of the cone equals π/4 the volume of the pyramid
Hope it will find you well.
Answer:

0.16
Step-by-step explanation:
According to the question the mathematical model should be

Differentiating with respect to time we get

So, the rate of change of brightness after t days is 
After 1 day means 

The rate of increase after one day is 0.16.