Based on the given condition, since the rectangle is inscribed in a circle given the length to be 3x, the width can be approximated by taking the right triangle formed by the radius and the w/2, sin 45 = w/2/r, which is equal to w = 2r sin45, therefore the Area of the inscribed rectangle = LxW = (3x)(2rsin45)
Answer:
d
Step-by-step explanation:
As we know that volume is three dimensional so we will multiply width, length and depth
Now as we have to find the depth of the pool so
Volume= length*width*depth
depth=Volume/(length*width)
d=2500/(40*22)
d= 2500/880
depth=2.841ft
Answer:

Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

We use just the positive root, since we are looking for an actual length. then, the requested side is:

There are 16 cups in a gallon. 6 pints in a quart. 4 quarts in a gallon.