Hey there!!
- The area of a circle = πr²
The area is given as 196π
Hence,
196π = πr²
... r²= 196
... r = √196
... r = 14
<em>Hence, the radius is 14 cm. </em>
<em>Hope it helps!</em>
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
Answer:
112%
Step-by-step explanation:
The percentage of its capacity is calculated as
Number of people / Maximum Occupancy × 100%
Number of people = 84 people
Maximum Occupancy = 75 people
Hence:
84 people /75 people × 100
= 1.12 × 100
= 112%
Therefore, the percentage of its capacity that is 84 people is 112 %
Answer:
All Real Number greater than 0 or
(0, positive infinity)
Step-by-step explanation:
The range is all possible y values of a function. We can tell a range by looking at the lowest y vaule then going to the highest possible y value.
Look at the graph. There is a open circle at y=0. So this means we are not going to include 0 in our function. The graph approaches f(x) to positive Infinity so our highest y value is Infinity.
So we know that the function y values cannot be zero and it must be positive. So our range is
All Real Number greater than 0. Or
(0, positive infinity)
Answer:
A. y = 7(x + 1)²-3
Step-by-step explanation:
Parabola:
Putting into vertex form, remember that:
In this question:
, to put into this format:
We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then
Vertex form:
So the correct answer is:
A. y = 7(x + 1)²-3
