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loris [4]
3 years ago
10

Fifty people put there name

Mathematics
1 answer:
Leokris [45]3 years ago
8 0
Answer:Male 60% Female 40%
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Write the equation 11x-24+3x-20=180. The answer is 16.
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An observer (O) spots a bird flying at a 35° angle from a line drawn horizontal to its nest. If the distance from the observer (
romanna [79]

Answer:

The correct option is;

17,202 feet

Step-by-step explanation:

The distance from the observer to the bird is given as 21,000 ft

The angle between the line of flight of the bird to the horizontal line from its nest = 35°

With the triangle BNO = A right triangle, we have;

The distance of the bird from its nest = Adjacent leg of the right triangle

The distance of the observer from the bird = Hypotenuse length

Which by trigonometric relations gives;

cos(35 ^{\circ} )= \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length} = \dfrac{Distance\ of  \ bird \ from \ its \ nest}{21,000}

21,000×cos(35 degrees) = The distance of the bird from its nest = 17,202.2 feet ≈ 17,202 feet.

6 0
4 years ago
Triangle ABC has vertices A (3,-3) B (-7,9) C (-11,3). Determine the point of intersection of the medians, and state the coordin
emmainna [20.7K]

Answer:

(-5, 3)

Step-by-step explanation:

Let O(x, y) be the centroid of the triangle.

The median of a triangle is a line segment that joins the vertex of a triangle to the midpoint of the opposite side. There are three medians in a triangle; and the medians of a triangle intersect at a point called the centroid.

The centroid of a triangle is gotten from the average of the x coordinates and the y coordinates of all the three vertices.

For Triangle ABC has vertices A (3,-3) B (-7,9) C (-11,3) and centroid O(x, y). Hence:

x=\frac{3 + (-7)+(-11)}{3}=-5\\\\y=\frac{-3 + 9 + 3}{3} =3

The centroid is at (-5, 3)

5 0
3 years ago
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