At a school event there were 96 girls .the ratio of number of girls to the number of boys was 4:5
1 answer:
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By solving the system of equations, we can see that the solutions are:
(A, B) = (4, 9)
(C, D) = (1, -6).
<h3>How to solve the system of equations?</h3>Here we have the following system of equations:
x^2 - y = 7
y - 5x = -11
If we isolate the variable y in both equations, we get:
y = x^2 - 7
y = -11 + 5x
Now we can equate these two to get:
x^2 - 7 = -11 + 5x
now we have a quadratic equation, this can be rewritten as:
x^2 - 7 + 11 - 5x = 0
x^2 - 5x + 4 = 0
Using the quadratic formula, we will see that the solutions are:
Solving that we get:
So the two solutions for x are:
x = (5 + 3)/2 = 4
x = (5 - 3)/2 = 1
Evaluating the second equation in these x-values we get:
y = -11 + 5*4 = -11 + 20 = 9
y = -11 + 5*1 = -6
Then we have the coordinate pairs: (4, 9) (on the first quadrant) and (1, -6) on the fourth quadrant.
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Answer:
The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .
Step-by-step explanation:
Formula
Where r is the radius and h is the height .
As given
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.
Thus
= 62.8 cm³
Thus the volume of a cylinder is 62.8 cm³ .
= 20.9 (Approx) cm³
Thus the volume of a cone is 20.9 cm³ .
Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .