Answer:
Step-by-step explanation:
Remmeber this:
The y-intercept is where the lone goes through the y-axis.
We first do:
∅ = sin⁻¹(0.3)
∅ = 17.5°
To go into the second quadrant, we add 90°.
∅ = 17.5 + 90
= 107.5°
The answer is A.
4/5 divided by 1/8
= 4/5 x 8/1
32/5
= 6.4 cupcakes or 6 cupcakes if they’re looking for a whole number
Answer:
<u>The area of the circular garden is 28.3 square feet</u>
Step-by-step explanation:
Let's recall that the area of a circle is π * r², therefore if the diameter of the circular garden is 6 feet, the area is:
Diameter = 6 feet ⇒ radius = (6/2) = 3 feet
Area of the circular garden = π * 3²
Area of the circular garden = 3.1416 * 9
Area of the circular garden = 28.2744
<u>Area of the circular garden = 28.3 square feet</u>
Answer:
The volume of the tumor experimented a decrease of 54.34 percent.
Step-by-step explanation:
Let suppose that tumor has an spherical geometry, whose volume (
) is calculated by:
Where 
is the radius of the tumor.
The percentage decrease in the volume of the tumor (
) is expressed by:
Where:
- Absolute decrease in the volume of the tumor.
- Initial volume of the tumor.
The absolute decrease in the volume of the tumor is:
The percentage decrease is finally simplified:
![\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%](https://tex.z-dn.net/?f=%5C%25V%20%3D%20%5Cleft%5B1-%5Cleft%28%5Cfrac%7BR_%7Bf%7D%7D%7BR_%7Bo%7D%7D%5Cright%29%5E%7B3%7D%20%5Cright%5D%5Ctimes%20100%5C%2C%5C%25)
Given that 
and 
, the percentage decrease in the volume of tumor is:
![\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%](https://tex.z-dn.net/?f=%5C%25V%20%3D%20%5Cleft%5B1-%5Cleft%28%5Cfrac%7B0.77%5Ccdot%20R%7D%7BR%7D%5Cright%29%5E%7B3%7D%20%5Cright%5D%5Ctimes%20100%5C%2C%5C%25)
The volume of the tumor experimented a decrease of 54.34 percent.
