A trapezoid has an area of \(36 \text{ m}^2\) and an altitude of \(2\) m. Its two bases have ratio of 4:5. What are the lengths of the bases?
A12, 15
B7, 11
C8, 10
D16, 20
Mathematics · Question Bank
Analytic Geometry
89 of 233 questions match · page 2 of 5. Answer in your head first, then check the solution.
If the sides of a parallelogram and an included angle are \(6\), \(10\) and \(100^\circ\) respectively, find the length of the shorter diagonal.
A10.63
B10.37
C10.73
D10.23
Determine the area of the quadrilateral shown, \(OB = 80\) cm, \(AO = 120\) cm, \(OD = 150\) cm and \(\phi = 25^\circ\).
A\(2721.66 \text{ cm}^2\)
B\(2271.66 \text{ cm}^2\)
C\(2172.66 \text{ cm}^2\)
D\(2217.66 \text{ cm}^2\)
The area of a regular hexagon inscribed in a circle of radius \(1\) is
A1.316
B2.945
C2.598
D3.816
Find the area (\(\text{in cm}^2\)) of a regular octagon inscribed in a circle of radius \(10\) cm?
A283
B289
C298
D238
A regular hexagon is inscribed in a circle whose diameter is \(20\) m. Find the area of the \(6\) segments of the circle formed by the sides of the hexagon.
A36.45 sq. m
B63.54 sq. m
C45.63 sq. m
D54.36 sq. m
Find the area of a regular pentagon whose side is \(25\) m and apothem is \(17.2\) m.
A\(1075 \text{ m}^2\)
B\(1085 \text{ m}^2\)
C\(1080 \text{ m}^2\)
D\(1095 \text{ m}^2\)
The area of a circle is \(89.42\) sq. inches. What is the length of the side of a regular hexagon inscribed in a circle?
A5.533 in.
B5.335 in.
C6.335 in.
D7.335 in.
Determine the area of a regular \(6\)-star polygon if the inner regular hexagon has \(10\) cm sides.
A\(441.66 \text{ cm}^2\)
B\(467.64 \text{ cm}^2\)
C\(519.60 \text{ cm}^2\)
D\(493.62 \text{ cm}^2\)
If the distance between points \((3,y)\) and \((8,7)\) is \(13\), then y is equal to
A5 or -5
B5 or 19
C19
D-5 or 19
Find the coordinates of a point equidistant from \((1,-6)\), \((5,-6)\) and \((6,-1)\).
A(2,-2)
B(3,-2)
C(3,-3)
D(2,-3)
Determine the coordinates of the point which is three-fifths of the way from the point \((2,-5)\) to the point \((-3,5)\).
A(-1,1)
B(-2,-1)
C(-1,-2)
D(1,-1)
The segment from \((-1,4)\) to \((2,-2)\) is extended three times its own length. The terminal point is
A(11,-24)
B(-11,-20)
C(11,-18)
D(11,-20)
The points \((a,1)\), \((b,2)\) and \((c,3)\) are collinear. Which of the following is true?
Ac-b=c-a
Bc-b=b-a
Cc-a=a-b
Dc-a=b-a
Find the angle formed by the lines \(2x+y-8=0\) and \(x+3y+4=0\).
A\(30^\circ\)
B\(35^\circ\)
C\(45^\circ\)
D\(60^\circ\)
Find the angle between the lines \(3x+2y=6\) and \(x+y=6\).
A12°20'
B11°19'
C14°25'
D13°06'
The two points on the lines \(2x+3y+4=0\) which are at a distance 2 from the line \(3x+4y-6=0\) are
A(-5,1) and (-5,2)
B(64,-44) and (4,-4)
C(8,8) and (12,12)
D(44,-64) and (-4,4)
What is the length of the line with a slope of \(4/3\) from a point \((6,4)\) to the y-axis?
A10
B25
C50
D75
In a cartesian coordinates, the vertices of a triangle are defined by the following points: \((-2,0)\), \((4,0)\) and \((3,3)\). What is the area?
A8 sq. units
B9 sq. units
C10 sq. units
D11 sq. units
Given three vertices of a triangle whose coordinates are A \((1,1)\), B \((3,-3)\) and \((5,-3)\). Find the area of the triangle.
A3
B4
C5
D6