This is a right triangle, so first find the distance between the two legs...
Points where the numbers are the same indicate a point that is on the same axis as the other
(-3, 3) and (-3, 2) have a distance of 1
(-3,2) and (1,2) have a distance of 4
The area formula for a triangle is 1/2bh and in this case 1/2(1)(4) = 2
The area is 2
Answer:
<em>A ≈ 28.5</em>
Step-by-step explanation:
a, b, c
P = a + b + c
Semiperimeter s = 
A = 
~~~~~~~~~~~~~~~
= 4.3 + 2.89 + 6.81 = 14
s = 14 ÷ 2 = 7
= 
= √14.75901 ≈ 3.84
= 8.59 + 7.58 + 6.81 = 22.98
s = 22.98 ÷ 2 = 11.49
= 
= √609.7343148 ≈ 24.6928
= 3.84 + 24.6928 ≈ <em>28.5</em>
Answer:
Mr Ronaldo paid $4,932 in income tax
Step-by-step explanation:
In this question, we are asked to calculate the amount Mr Ronaldo pays in income tax
To calculate this, we need to calculate 9% of his annual earnings
His income tax = 9/100 * 54,800
Income tax = $4,932
Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
