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There is a square and a half circle.
To find the radius of the circle: 18in - 12in = 6in
Area of a circle = (pi)r^2 = 3.14 (6in)^2 = 3.14 (36in^2) = 113.04in^2
This is an half circle, so we have to divide by 2 the result
56.52in^2 in what we’re looking for.
Area of the square = (12in)^2 = 144in^2
Total area = (144 + 56.52)in^2 = 200.52in^2
Or 201in^2 to the nearest whole number.
Answer:
Step-by-step explanation:
We have, 120% × x = 36
or,
120
100
× x = 36
Multiplying both sides by 100 and dividing both sides by 120,
we have x = 36 ×
100
120
x = 30
Answer:
The roots are;
x = (2 + i)/5 or (2-i)/5
where the term i is the complex number representing the square root of -1
Step-by-step explanation:
Here, we want to use the completing the square method to solve the quadratic equation;
f(x) = -5x^2 + 4x -1
Set the function to zero
0 = -5x^2 + 4x - 1
So;
-5x^2 + 4x = 1
divide through by the coefficient of x which is -5
x^2 - 4/5x = -1/5
We now take half of the coefficient of x and square it
= -2/5^2 = 4/25
add it to both sides
x^2 - 4x/5 + 4/25= -1/5 + 4/25
(x- 2/5)^2 = -1/5 + 4/25
(x - 2/5)^2 = -1/25
Take the square root of both sides
x - 2/5 = √( -1/25
x - 2/5 = +i/5 or -i/5
x = 2/5 + i/5 or 2/5 - i/5
Answer:
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Step-by-step explanation:
