To calculate for the area of the triangle given all its side, use the Heron's formula which is,
A = sqrt ((s)(s - a)(s - b)(s - c))
where A is the area. a, b, and c are the measure of the sides and s the semi - perimeter or half of the perimeter.
With the given above, s = (17 + 18 + 21.4) / 2 = 28.2
Substituting the known dimensions to the Heron's formula,
A = sqrt ((28.2)(28.2 - 17)(28.2 - 18)(28.2 - 21.4)) = 148 units^3
Thus, the area of the triangle is 148 units^3.
Given that question: Shyam invested money in the stock market. In the first
year, his stock increased 20%. He paid his stock broker $300 and then lost
$450. He withdrew $500, and then his remaining investment doubled. Shyam’s investment is now worth $7100. How much was Shyam’s original investment?
The solution is as follows:
Let the amount Shyam invested in the stock market be x, then in the first year his stock increased by 20% giving 1.2x.
He paid his stockbrocker $300 to have 1.2x - $300 left, and he lost $450 to have 1.2x - $300 - $450 = 1.2x - $750 left.
He withdrew $500 to have 1.2x - $750 - $500 = 1.2x - $1,250 left.
His remaining investment doubled to have 2(1.2x - $1,250) = 2.4x - $2,500
Shyam's investment is now worth $7,100 which means that
2.4x - $2,500 = $7,100
2.4x = $7,100 + $2,500 = $9,600
x = $9,600 / 2.4 = $4,000
Therefore, the value of Shyam's original investment is $4,000
I think it is C) I’m pretty sure
Answer:
D. m = 20 , n = 10.
Step-by-step explanation:
The sine of 60 is √3/2, so
sin 60 = 10√3 / m = √3/2
√3 m = 20 √3
Divide both sides by √3:
m = 20.
cos 60 = 1/2 = n / 20
2n = 20
so n = 10.
The answer is A because using the point slope formula y-y1=m(x-x1) you get the answer choice A