Present area = 120 * 80 = 9600 ft^2 so the new area will be 9600 + 4400 = 14000
So if increase in length = x we have
(x + 120)(x + 80) = 14,000
x^2 + 200x + 9600 - 14000 = 0
x^2 + 200x - 4400 = 0
x = 20 feet answer
Answer:
First you need to find the slope with this equation.
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This is the point slope form.I hope this help.
Please give me the brainliest
To find the total area of this figure, it would be easiest to find the area of the left part (rectangle) and then find the area of the right part (triangle), and then add the two area values together.
First, we will find the area of the rectangle, using the formula A = lw, where l is the length of the rectangle and w is the width of the rectangle.
The length of the rectangle is 13 cm and the width is 9 cm. If we substitute in these values into our equation, we get:
A = (13cm)(9cm)
A= 117 cm^2
Next, let’s find the area of the triangle, using the formula A=(1/2)bh, where b is the base of the triangle and h is the height.
The base of the triangle is 11 cm and the height of the triangle is 5 cm (found by subtracting 13-8 as seen in the figure). If we substitute in these values and simplify, we get:
A=1/2(11cm)(5cm)
A=1/2(55cm^2)
A=27.5 cm^2.
When we add together the area of the rectangle with the area of the triangle, we will get the total area of the figure.
117 cm^2 + 27.5 cm^2 = 144.5 cm^2
Your answer is 144.5 cm^2 or the first option.
Hope this helps!
Answer:
1680
Step-by-step explanation:
Considering repeatition is not allowed.
We can use permutation to reach to the required answer.
Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.
Therefore, Total numbers = 5×8×7×6 = 1680
Step-by-step explanation:
Given
as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,
as equation 2.
Using equation 2,
substitute this equation into equation 1.
Substitute P into equation 2.
Therefore the woman is 45 years old while her son is 15 years old.
