There is a circle C. In circle C, there is a diameter vertically, ML. From center C, there is a radius to the right, CN. To the left there is another radius, CR. (this looks like a upside-down peace symbol) Angles RCM and RCL are supplementary. Angle RCM is x-1. Angle MCN is 60 degrees. Angle RCL is 3x+5 degrees. Find angle RCL.
What is 137 degrees.
100
The area of a parallelogram with a diagonal 9 ft long at a 60 degree angle from the base and a base length of 5 ft.
What is 10 on the square root of 14. (Or 37.4 ft squared rounded to nearest tenth)
100
There is a square pyramid with base ABCD and vertex E. Name the faces.
What is quadrilateral ABCD, triangle AED, triangle, DEC, triangle CED, and triangle AEB.
100
What is the volume of a rectangular prism with a height of 30, a base width of 35 and a base length of 55.
What is 57750 units cubed.
100
There are 100 blocks. 60 of those blocks are shaded by random. What is the probability of landing on a shaded area with a die?
What is 60%. (or 4/5)
200
(pg. 526, #32) Too hard to explain. Look up in book :P sorry.
What is 2.
200
There are two triangles which share the same base (segment FH). This base is 37. Triangle FGH has a altitude of 9. Triangle FIH has an altitude of 18. Find the area.
What is 499.5 units squared.
200
There is a triangular prism. The triangle bases are right triangles with a hypotenuse of 15 and a side of 9. The height of the prism (lateral edge) is 11.5. Find the surface area of the prism.
What is 522 square units.
200
(pg. 699) Find the volume of a cone with a slant height of 30 and a diameter of 36.
What is 2593pi or 8143.01 units cubed.
200
There is a circle. There is a angle formed by two segments which are secant-secant to the circle. The larger arc at the opening of the angle is 90 degrees. The small are in the middle is 30 degrees. The angle itself is named x. Find x.
What is 30.
300
There is a circle P. A chord to the right is named QS. The center and the chord form a triangle PQS. The altitude of the triangle drops from P to R (R is halfway through the chord). The radius of the circle is 5 and segment PR is 3. Find QR.
What is 4.
300
An irregular pentagon is made out of a rectangle and a triangle. The base is 62, the height of the quadrilateral is 54 and the altitude of the triangle from the top of the quadrilateral is 27. Find the area.
What is 4185 units squared.
300
There is a right cylinder. The radius is 4 ft and the height is 6 ft. Find the surface area. Round to the nearest tenth if necessary.
What is 251.3 ft squared.
300
(pg. 717) Determine the distance and the midpoint between the two sets of points.
K (2, 2, 0)
L (-2, -2, 0)
What is distance: 4 on the square root of 2 and midpoint (0, 0, 0) being the origin.
300
The surface area of a cone is 1020 square meters and the radius is 14.5 meters. Find the slant height.
What is 7.9 meters.
400
There is a circle G. Inscribed in circle G is a regular pentagon PQRST. There is a chord running from P to S, PS. What is the measure of angle PSR?
What is 72 degrees.
400
There is a circle inscribed in a square, which is then inscribed in another, larger circle. The outer circle's segments made from the square is shaded. (meaning there are four shaded segments around the square's four sides) The square is unshaded. The circle within the square is also shaded. Assume all polygons that seem regular are regular. The radius of the larger circle is 10. Find the area of the shaded regions. Round to the nearest tenth.
What is 271.2 units squared.
400
Find the surface area of a pentagonal pyramid whose slant height is 17 inches and has an actual height of 15 inches.
What is 726.5 inches squared.
400
(pg. 711) There are two cylinders. One has a radius of 6 and a height of 16. The second has a diameter of 12. The second also has a line that goes from the top of one base to the bottom of the other base diagonally inside the cylinder. (refer to answer key sheet for diagram if needed) This line is 20. Determine if these figures are similar, congruent or neither.
What is congruent because the heights are the same as well as the diameters.
400
(pg. 692) What is the volume of a cylinder with a diameter of 9 and a figure diameter (runs from the side of the top base down and across to the other side of the bottom base, look at answer key diagram for more info) of 15.
What is 234pi or 763.41 units cubed.
500
There is a circle F. In the circle there is a radius EF. EF is the smaller leg of triangle DEF. EF is 3 and the longer leg, DF is 4. DE, the hypotenuse is 5 and looks like it is touching the circle. Is DF tangent?
What is yes.
500
There is a hexagon inscribed in a circle. The circle has a diameter of 12. One segment made from the outside of the hexagon and the circle is shaded. What is the area of this one segment?
What is 3.26 units squared.
500
Find the radius of the base of a cylinder if the surface area is 48pi square meters and the height is 5 meters.
What is 3 meters.
500
(pg. 699) Find the volume of a pentagonal pyramid with a base side length of 6 and a figure height of 10.
What is 206.5 units cubed.
500
(pg. 705) What is the volume of a sphere with a circumference of 48?