Answer:
Step-by-step explanation:
1) Let width = x
One side of the rectangle is covered by river. So only, 3 sides to be covered.
length = 100 - ( x + x) = 100 - 2x
Area of rectangle = length *width
= (100 - 2x)*x
f(x) = 100x - 2x^{2}
Answer:
First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)
That is the first error of Alan.
Now, there is another error.
If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).
But we can not really divide by zero, so we should state that:
m can not be zero, if a line is horizontal, the perpendicular line must be vertical.
<h2>
Answer:</h2>
William Jones
<h2 /><h2>
Step-by-step explanation:</h2>
The number pi (π) is a platonic concept and has been used for 4000 years. The number pi can be approached but never reached. In general, this number means the constant ratio of the circumference to the diameter of any circle. Ancient Babylonians, Egyptians, and even Archimedes, one of the greatest mathematicians of the ancient world tried to approximate the value of pi, but in the 1700s, mathematicians began using the Greek letter π that was introduced by William Jones, in his second book <em>Synopsis Palmariorum Matheseos</em> or <em>A New Introduction to the Mathematics base</em>. Then, this symbol was popularized and adopted in 1737 by the greatest mathematician Leonhard Euler.
A vertical line is perpendicular to the x-axis because they would intersect to form a 90 degree angle.
Answer:
#1
<u>Area of triangle backdrop:</u>
- A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²
<u>Area of the cloth:</u>
<u>Uncovered area:</u>
Choice A
#2
<u>Area of the cut piece:</u>
- A = πr² = 3.14*7.6² = 181.37 cm²
<u>Area of the square piece:</u>
<u>Remaining piece is:</u>
- 1156 - 181.37 = 974.63 cm²
Choice B
