Answer:
y = <u>1</u><u> </u>x - <u>9</u><u> </u><u> </u><u>(</u><u> </u><u>L</u><u>.</u><u>C</u><u>.</u><u>M</u><u> </u>= 2 )
2 2
<u>1</u><u>(</u><u>1</u><u>x</u><u>)</u><u>-</u><u>1</u><u>(</u><u>9</u><u>)</u>
2
<u>x-9</u>
2
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
You can work out c first. That's probably the key to the whole problem.
The adjacent side to a 60o angle is 1/2 the hypotenuse
The hypotenuse in this case = 4 Sqrt(3)
Then c = 1/2 (4 sqrt(3))
c = 2 sqrt(3) That means d is not true.
Next work out a.
a is in the same triangle as c and the hypotenuse.
a^2 + c^2 = hypotenuse^2
a = ??
c = 2 sqrt(3)
h = 4 sqrt(3)
a^2 + (2 sqrt(3))^2 = (4 sqrt(3))^2
(sqrt(3))^2 = 3
a^2 + 4 * 3 = 16 * 3
a^2 + 12 = 48
a^2 = 48 - 12
a^2 = 36
a = 6
Now we need to work out d
The side opposite and the side adjacent are equal when opposite a 45o angle in a right angle triangle
d = 6
The last thing to work out is be
a = 6
d = 6
c = ???
a^2 + d^2 = c^2
6^2 + 6^2 = c^2
c^2 = 72
c = sqrt(72)
c = sqrt(6*6*2)
c = 6 sqrt(2)
The answer should be B??? Check this out.
If x and y vary inversely, then xy = const.
x = 10, y = 8
Answer:
596.0 ft
Step-by-step explanation:
The relationship between the two legs of a right triangle and an acute angle is ...
Tan = Opposite/Adjacent
The height (h) of the lighthouse is the side opposite the angles of elevation. If d is the distance between A and B, we can write two tangent relations:
tan(14°) = h/770
tan(8°) = h/(770 +d)
Equating expressions for h gives ...
770·tan(14°) = (770 +d)·tan(8°)
770(tan(14°) -tan(8°)) = d·tan(8°) . . . . subtract 770·tan(8°)
d = 770·(tan(14°)/tan(8°) -1) . . . . . divide by the coefficient of d
d ≈ 770·(1.7740609 -1) = 596.03
The distance from point A to point B is about 596.0 feet.
Answer:
every parallelogram is a square? False
every rectangle with four congruent sides is a square? True
every rectangle is a quadrilateral? True
every quadrilateral is a rectangle? False
Step-by-step explanation:
every parallelogram is a square?
A parallelogram has two opposite pairs of parallel lines and opposite congruent sides. A square needs to have 4 right angles and all sides need to be equal. In the restrictions of a parallelogram, these cannot be concluded, therefore parallelogram are not always squares.
every rectangle with four congruent sides is a square?
Square require 4 congruent sides and 4 right angles. Rectangles already have 4 right angles. If you add 4 congruent sides to the mix, it means that these rectangles are always squares.
every rectangle is a quadrilateral?
A quadrilateral is defined by a shape having 4 sides. Rectangles have 4 sides, so they fit into the category of quadrilaterals.
every quadrilateral is a rectangle?
A quadrilateral is a just a shape with four sides. We do not know if it has 4 right angles, so not every quadrilateral is a rectangle.
