Answer:
radius = 2.05 units
Step-by-step explanation:
The volume of a sphere is given by the formula: 
. In this formula:
- V = volume of the sphere
- r = radius of the sphere
Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.
Substitute 36 for V into the formula and solve for r.
Divide both sides by 
. To do this, multiply 36 by the reciprocal of .
Simplify and rewrite the equation.
Now divide both sides of the equation by pi (
).
Rewrite the equation.
To isolate and solve for r, cube root both sides of the equation.
The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:
- whole number: 2 units
- tenth: 2.0 units
- hundredth: 2.05 units
- thousandth: 2.048 units
I'll just give the answer rounded to the nearest hundredth as that seems the most popular.
Answer:
51.2
Step-by-step explanation:
160% is the same as saying 1.6 as a decimal. So 160% of 32 would be 32 × 1.6 = 51.2
1/5(100x - 105y + 70) = 20x -21y + 14
Answer:
y = (3/5)x+26/5 or 5y = 3x+26
Step-by-step explanation:
Applying,
The equation of a line in two point form
(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1
From the question,
Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2
Substitute these values into equation 1
(7-4)/[3-(-2)] = (y-4)/(x+2)
3/5 = (y-4)/(x+2)
5(y-4) = 3(x+2)
5y-20 = 3x+6
5y = 3x+6+20
5y = 3x+26
y = (3/5)x+26/5
Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26
Answer:
<em>Two possible answers below</em>
Step-by-step explanation:
<u>Probability and Sets</u>
We are given two sets: Students that play basketball and students that play baseball.
It's given there are 29 students in certain Algebra 2 class, 10 of which don't play any of the mentioned sports.
This leaves only 29-10=19 players of either baseball, basketball, or both sports. If one student is randomly selected, then the propability that they play basketball or baseball is:
P = 0.66
Note: if we are to calculate the probability to choose one student who plays only one of the sports, then we proceed as follows:
We also know 7 students play basketball and 14 play baseball. Since 14+7 =21, the difference of 21-19=2 students corresponds to those who play both sports.
Thus, there 19-2=17 students who play only one of the sports. The probability is:
P = 0.59
