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Veronika [31]
2 years ago
12

2) A kite in the air has its string tied to the ground, The length of the string is 50m. Find the

Mathematics
1 answer:
Zinaida [17]2 years ago
4 0

Answer: 40.96 meters.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.

sin α = opposite side / hypotenuse

Where α is the angle of elevation of the string to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the string), and the opposite side (x) is the length of the kite above the ground

Replacing with the values given:  

sin 55 = x/ 50

Solving for x

sin55 (50) =x

x= 40.96 m  

Feel free to ask for more if needed or if you did not understand something.  

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i.e. <span>-16t^2 + 96t = 0
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3 0
2 years ago
Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?
gregori [183]

Answer:

Altogether Gavin and Jim won £95.

Step-by-step explanation:

We are given the following in the question:

Ratio of money won by Gavin and Jim = 5:2

Gavin gets £39 more than Jim.

Let x be the amount of money Won by Jim.

Then, money won by Gavin =

=(x+39)

Thus, we can write the equation:

\dfrac{\text{Gavin}}{\text{Jim}} = \dfrac{5}{2}=\dfrac{x+39}{x}

Solving, we get,

\dfrac{5}{2}=\dfrac{x+39}{x}\\\\5x = 2x + 78\\\Rightarrow 3x = 78\\\Rightarrow x = 26\\\Rightarrow (x+39) = 65

Thus, Gavin won £65 and Jim won £26.

Money won altogether =

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Thus, altogether Gavin and Jim won £95.

5 0
2 years ago
This star is made up of 4 equilateral triangles of equal area and a square.
pentagon [3]

Answer:

24 cm

Step-by-step explanation:

Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.

Area of the shaded region (square) = 9\,\, cm^2

To find: the perimeter of the star

Solution:

Area of the shaded region (square) = 9\,\, cm^2

Area of square = (side)^2

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As each equilateral triangle has side lengths that are the same as the side length of the square,

length of side of the star = 3 cm

Perimeter is the sum of lengths of the sides.

Perimeter of star = sum of 8 sides of the star

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4 0
2 years ago
Which of the following terms correctly describe the object below. Check all that apply
mars1129 [50]

Answer:

Option a,d and e are correct.

Step-by-step explanation:

Pyramid is  the figure in which every base and apex forms triangle.

Polygon is two dimensional figure with straight lines.

Square is a figure in which all four sides are equal.

Solid is a three dimensional figure.

Polyhedron is a three dimensional figure with straight edges and sharp corners.

Prism is a polyhedron with parallel bases.

The given figure is:

Pyramid

Solid

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4 0
2 years ago
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Victor is enlarging a poster for a school baseball match. The graph below shows the size y of the poster after x enlargements: g
Norma-Jean [14]
For this case we have the following function:
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the y-intercept of the graph represents:
 
the original size of the poster.
3 0
2 years ago
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