Answer:
1/4, 3/12, 4/16, 5/20, etc.
Step-by-step explanation:
Multiply/Divide the numerator and denominator by the same number (Ex. 1/4)
Divide by 2
2/8
2/2 = 1
8/2 = 4
<u>1/4</u>
The picture contains two geometric objects: semicircle and right triangle
First, find the area of semicircle
This is the formula for area of semicircle
a = 1/2 × area of circle
a = 1/2 × π × r²
Before we find the area, we should determine the value of r. Given from the question that the diameter is equals to 8 m. Radius (r) is half of diameter (d)
r = 1/2 d
r = 1/2 × 8
r = 4 m
Caculate the area
a = 1/2 × π × r²
a = 1/2 × 3.14 × 4²
a = 1/2 × 3.14 × 16
a = 1/2 × 50.24
a = 25.12 m²
Second, find the area of the right triangle
The formula is
a = 1/2 × b × h
Given from the question that the base (b) is 12 m, and the height (h) is 8 m.
Calculate the area, input the value of b and h to the formula
a = 1/2 × b × h
a = 1/2 × 12 × 8
a = 1/2 × 96
a = 48 m²
Third, sum both area
a = area of semicircle + area of right triangle
a = 25.12 + 48
a = 73.12 m²
Solution:
The area is 73.12 m²
The <em><u>correct answer</u></em> is:
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Explanation:
The Quadratic Formula is
,
where a, b and c are the coefficients of a quadratic equation written in standard form, or 0=ax²+bx+c.
This means that first, we need to make our equation equal 0.
We have
-2 = -x + x² - 4
To make this equal 0, we must cancel the -2. We do this by adding 2:
-2+2 = -x + x² - 4 + 2
0 = -x + x² - 2
Now we write this in standard form. This means the x² term must come first, then the x term, then the constant:
0 = x²-x-2
This makes a = 1, b = -1 and c = -2. We then plug this into the quadratic formula.