We develop two equations based on the given diagram. We let x be the length from C to the point meeting the endpoint of 5. We let y be the length of CD.
First, we determine the length from D to the endpoint of line measuring 9 cm. We use the Pythagorean theorem.
l = sqrt ((3)² + 5²)
l = 5.83
Then, the equations that can be developed or established are:
x² + 6² = y²
9² + (5 + x)² = (y + 5.83)²
In solving for x and y, we use substitution.
From the first equation,
y = sqrt (x² + 36)
We substitute this to the second equation y.
The value of x is 9.51.
y = sqrt (9.51² + 36) = 11.25.
Calculate for the area of the bigger triangle.
A = 0.5(9 cm)(5 + 9.51 cm) = 65.295 cm²
Also calculate for the area of the smaller triangle,
A = (0.5)(6 cm)(9.51 cm) = 28.53 cm²
The difference between the areas is 36.765 cm².
<em>ANSWER: 36.77 cm²</em>
Complete the math in the brackets (4a + 1)
Multiple each term in the brackets by 4a
4a (8a - 4a + 1)
4a (4a + 1)
16a^2 + 4a
Think of PEMDAS. Solve in this order. Parentheses, Exponent, Multiply, Divide, Add, Subtract. Solving in this order will get you to the right answer. If you try to just solve from left to right, you may get it wrong if it is not solved in that order.
Answer:
This ratio means for every boy there are two girls.
There are twice as many girls as there are boys. Backwards, it's there are half as many boys as there are girl.
The simplified ratio is found by reducing the ratio to the lower terms.
5/10 = 1/2
Both sides on the unsimplified ratio are division by 5. When done, it became 1/2.