Answer:
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Step-by-step explanation:
this creates a right-angled triangle.
the right angle (90°) being the angle between flag pole and ground.
the angle ground-wire is 50°.
because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is
180 - 90 - 50 = 40°
so, we have the situation to know 1 side and all angles.
to get the other sides we use best the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and related angles are always opposite of each other.
in our case now we have
24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft
so, the rounded answer is that the wire must be
31.3 ft long
Answer: A
Step-by-step explanation:
If you look only at the ranges provided for x A is the only one that fits the graph. The domain of the first function (
) is everything equal to or less than 2. The equal to is represented by the closed circle at point (2,5) which represents that this value is included for that function. The other function continues on with values greater than 2, but does not include the x value 2 as it has an open circle at point (2,10).
Answer:
1500mi^2
Step-by-step explanation:
500 x 300 = 1500
that is the area of the grid in miles
Answer:
S=2lw+2lh+2wh
Step-by-step explanation:
If we consider the structure of a box with length l, width w, and height h, we may note that it is formed from six rectangular faces. The bottom and top faces are rectangles with sides of length l and w. Two of the side faces have side lengths l and h. And the remaining two side faces have side lengths w and h.
As the area of a rectangle is the product of its side lengths, we can put this together to get the surface area S of the box as
S=2lw+2lh+2wh
