Answer:
- cylinder — 90π in³
- pyramid — 37 1/3 in³
- cone — 12.5π in³
Step-by-step explanation:
The volume of a cylinder is given by ...
V = Bh . . . . . where B is the base area and h is the height
The volume of a pyramid or cone is given by ...
V = (1/3)Bh . . . . . where B is the base area and h is the height
The area of a square of side length s is ...
A = s²
The area of a circle of radius r is ...
A = πr²
___
Using these formulas, the volumes of these objects are ...
cylinder: (9π in²)(10 in) = 90π in³
square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³
cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid
Answer:
Do I do the answer in standard form or the question #
5r + 6s = 53
25r + 3s = 49
Meaning of simultaneous is to solve by elimination
Multiply the equation 2 by -2
-2( 25r + 3s = 49)
-50r – 6s = -98
Then add the two equation to eliminate s, so the resulting equation is:
-45r =-45
r = 1
substitute r = 1 to equation 1
5(1) + 6s = 53
6s = 53 – 5
6s = 48
<span>S = 8</span>
Divide the price by amount to find out how much each costs. multiply that by 9. 4 (divided by) 8 = .5, or 50cents. each apple is 50cents. multiply .50 by 9. It costs 4.50. Hope this helps
Option B: 50 is the value of the constant.
Explanation:
From the graph, the coordinates are 
, 
, 
and 
Where the x coordinates denotes the width and the y - coordinates denotes the height.
Also, given that 
We need to determine the value of the constant
<u>Value of the constant:</u>
The value of the constant can be determined using the formula,
Since, all the coordinates lie on the same line, then all the coordinates have the constant.
Substituting the coordinate in the above formula, we get,
Therefore, the value of constant is 50.
Hence, Option B is the correct answer.
