is an isosceles trapezoid where and , as shown in the diagram below.
Find the height, , of the trapezoid.
Find the area of the trapezoid.
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is an isosceles trapezoid where and , as shown in the diagram below.
Find the height, , of the trapezoid.
Find the area of the trapezoid.
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The distance between Ho Chi Minh City and Hong Kong is known to be 1500 km. The bearing of Hong Kong from Ho Chi Minh City is 046°. Another city, Brisbane, is 6500 km from Ho Chi Minh City on a bearing of 136°. Calculate the distance between Hong Kong and Brisbane.
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Point has coordinates and point has coordinates .
Calculate the distance of the line segment .
Find the equation of the line connecting points and .
Give your answer in the form .
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The diagram below shows a circle with a sector cut from it. The radius of the circle is .
Find the length of
Find the area of the shaded region.
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A lawn sprinkler sprays water over a lawn covering an arc of with a maximum spray distance of m as shown in the diagram below. The lawn sprinkler waters of the lawn.
Calculate the value of .
Calculate the length of the outer arc.
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A windscreen wiper blade is long. When in motion the blade moves through an arc of and wipes an area of
Calculate the value of .
Calculate the length travelled by the outer edge of the blade.
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The diagram below shows a dirt racetrack where the straights are long and the longest distance from one end of the track to the other is .
Find the total distance around the racetrack.
Find the total area enclosed by the racetrack.
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The diagram below shows a cookie cutter in the shape of a heart constructed from a triangle and two identical semi circles. The height of the triangle is and its base is .
Find the length of the line .
Calculate the total area of the heart.
Bob makes some cookie dough and rolls it out on his kitchen bench. The cookie dough covers .
Find the number of full cookies Bob can cut from the dough.
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The diagram below shows a slice of pizza that forms a sector of a circle with an arc of and radius of . The width of the crust is .
Find the perimeter of the slice of pizza.
Find the area of the crust.
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The diagram below shows an architect’s drawing of the front view of a house. The house is in the shape of a rectangle with a height of m and has a roof in the shape of a right-angled isosceles triangle, . , angle . Next to the house is a garage in the shape of a rectangle measuring with a roof in the shape of a right-angled triangle with a base, , of and angle .
Find the length of
Find the total area of the front view of the house.
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