To solve for radius use the volume formula and solve for r.
V = πr²h
320π = πr²(20)
320π/π = 20r²
320 = 20r²
320/20 = r²
16 = r²
√16 = r
4 = r
Answer is D. 4 feet.
Hope this helps :)
Answer:
Step-by-step explanation:
A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.
A. The cost at the fitness center depends on the number of months (x).
The cost is the dependent variable, and number of months (x) is the independent variable.
f(x) = 100 + 40x
Example, the cost paid for 12 months can be determined as;
f(12) = 100 + 40(12)
= 100 + 480
= 580
Thus, $580 would be paid for 12 months at the fitness center.
B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.
The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.
So that;
f(x) = 1.69x
The cost of 10 pounds of lettuce can be determined as;
f(x) = 1.69(10)
= 16.9
Thus, the cost of 10 lb of lettuce is $16.90.
Answer:
10
Step-by-step explanation:
It is 10 times as much
Answer:
=0.3 per km²
Step-by-step explanation:
Population density is the population per uni area.
Area=πr² Where A is area and r is the radius of the circle.
A=3.14×34
=106.76km²
Population density = Population/Area
=32 antelopes/106.76 km²
=0.3 per km²
The population of antelopes within the given radius is 0.3 per km²
Answer:
B
Step-by-step explanation:
Given the 2 equations
4x + 3y = 16 → (1)
7x + 6y = 31 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the term in y
- 8x - 6y = - 32 → (3)
Add (2) and (3) term by term
- x = - 1 ( multiply both sides by - 1 )
x = 1
Substitute x = 1 in either of the 2 equations and solve for y
Substituting in (1)
4(1) + 3y = 16
4 + 3y = 16 ( subtract 4 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is (1, 4 ) → B
