Perimeter of square, 4a = 120
a = 30
diagonal = a√2 = 30√2 yards OR 42.3 yards
Two angles are equals.
Suppose they are 6y.
Then 6y + 6y + 8y - 16 = 180
20y = 180 +16
20y = 196
y = 9.8
Then one base angle is 6*9.8 = 58.8°
And the other base angle is 8(9.8) - 16 = 62.4.
Now suppose that the two equal angles are 8 y -16
Then 8y -1 6 + 8y - 16 + 6y = 180
Then 16y - 32 = 180
16y = 180 + 32
16y = 212
y = 13.25
One angle is 6(13.25) = 79.5
And the other is 8(13.25) - 16 = 90
This last solution is imposible.
So the answer is 58.8 and 62.4
9514 1404 393
Answer:
1250 square feet
Step-by-step explanation:
If x is the length of the side perpendicular to the creek, then the third side is (100 -2x) = 2(50 -x). The area is the product of length and width:
A = x(2)(50-x)
We observe that this is a quadratic function with zeros at x=0 and x=50. The vertex (maximum) of a quadratic function is on the line of symmetry, halfway between the zeros. The value of x there is (0 +50)/2 = 25.
Then the maximum area is ...
A = (25)(2)(50 -25) = 1250 . . . . square feet
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<em>Additional comment</em>
Note that half the length of the fence is used in one direction (parallel to the creek), and half is used in the other direction (perpendicular to the creek). This 50/50 split is the generic solution to all sorts of rectangular corral problems, with or without a creek, with or without internal partitions.
Half the fence is perpendicular to the other half. (If the costs are different in different directions, then the cost is what is split 50/50.)
Answer:
86,664 randomly selected U. S Adults
Step-by-step explanation:
The sample is a subset of the population, that is a representative observation which is chosen from a larger population usually used in place of the population due to various reasons which may hamper the use of the entire population on a certain research project. Here, the population of interest is the entire U.S adult.
The subset of the population employed is the 86,664 randomly sampled US adults, this is called the sample as it representative of the population of interest.
Answer:
Volume of a parallelogram is v=whl
Area of s parallelogram is A= bh
Circumference of a circle= rd
Area of a circle= rd^2
Area of a triangle is 1/a <em>bh</em>
Area of a trapezoid is 1/2(b1 + b2)h
Perimeter of a quadrilateral is 2L + 2W
I couldn't drag the image but I knew what I was doing!
