We need to determine the radius and diameter of the circle. If the area of the circle is 10 pi in^2, then, according to the formula for the area of a circle,
A = 10 pi in^2 = pi*r^2. Thus, 10 in^2 = r^2, and r = radius of circle = sqrt(10) in.
Thus, the diam. of the circle is 2sqrt(10) in. This diam. has the same length as does the hypotenuse of one of the triangles making up the square.
Thus, [ 2*sqrt(10) ]^2 = x^2 + x^2, where x represents the length of one side of the square. So, 4(10) in^2 = 2x^2. Then:
40 in^2 = 2x^2, or 20 in^2 = x^2, and so the length x of one side of the square is sqrt(20). The area of the square is the square of this result:
Area of the square = x^2 = [ sqrt(20) ]^2 = 20 in^2 (answer). Compare that to the 10 pi sq in area of the circle (31.42 in^2).
If a quadrilateral is a parallelogram, it has diagonals which form 2 congruent triangles. Use the following, to PROVE a parallelogram: DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Answer:
442 miles
Step-by-step explanation:
Given
To properly solve this question, I illustrate some given parameters using attached image
From the image, apply Pythagoras theorem
Differentiate w.r.t time (t)
Divide both sides by 2
From the question, we have that the plan travels are 510mi/h.
This implies that:
So, we then calculate the value of x when the distance (y) is 2mi i.e.:
Apply Pythagoras theorem
So, the expression becomes:
<em>Hence, the distance is 442 miles</em>
Answer:
increasing
Step-by-step explanation:
This line is increasing
The slope is greater than 0 so the line is going up
