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Ratios and Proportions
Similarities in Right Triangles
Cosines, Tangents, and Sines
Perimeters and Areas
Circles
100
x/2 = 40/16 Solve for x.
x=5.
100
Triangle RST is congruent to triangle SPT. Which side is congruent to side ST.
Side PT.
100
What is the tan of 175 degrees?
-0.09
100
Find the area of the triangle.
Area = 6 km sq.
100
Name ALL secant(s), chord(s), and tangent(s) of the circle.
Secant = Line AB. Chords = Segment CB, AB, and ED. Tangent = Line EF.
200
Given that 2a=8b, find the ratio of a to b in simplest form.
1/4
200
Find the geometric mean of 4 and 9.
6.
200
What is the formula for the law of cosines?
a^2= b^2 + c^2 - 2ac x cosA
200
Find the base of a parallelogram in which h = 56 yd and A = 28 yd squared.
Base = 0.5 yd
200
Find arc BC.
Arc BC = 46.8 degrees
300
16/(x-1) = (x-1)/4 Solve for x.
9 or -7
300
Find the geometric mean of 2/3 and 27/40.
(3 sqrt. 5)/10
300
Find the length of DF.
DF= about 9.9
300
Find the area of the parallelogram.
Area = 24 square inches.
300
Find arc ADC and angle DAE.
Arc ADC = 270 degrees. Angle DAE = 38 degrees.
400
2m+2/3 = 12/2m+2
m= 2 or -4
400
Find x, y, and z.
x= 2 sqrt. 5 y= 2 sqrt. 30 z= 2 sqrt. 6
400
Find BC.
BC = 12.6
400
Find the area of the polygon with vertices A(-4,1), B(2, 4), C(4, 0), D(-2, -3).
Area = 30 units sq.
400
Find the area of sector EFG of circle F, when the radius is 6 cm and angle EFG = 120 degrees.
Area of sector EFG = 12pi or 37.7 cm sq.
500
During the filming of The Lord of the Rings, the special-effects team built a model of Sauron's tower with a height of 8 m and a width of 6 m. If the width of the full-size tower is 996 m, what is its height?
The height of the full-size tower is 1328 m.
500
To estimate the height of Big Tex at the State Fair of Texas, Michael steps away from the statue until his line of sight to the top of the statue and his line of sight to the bottom of the statue form a 90-degree angle. His eyes are 5 ft above the ground, and he is standing 15 ft 3 in. form Big Tex. How tall is Big Tex to the nearest foot.
52 ft tall
500
In 1999, the tower made a 100° angle with the ground. To stabilize the tower, an engineer considered attaching a cable from the top of the tower to a point that is 40 m from the base. How long would the cable be, and what angle would it make with the ground? Round the length to the nearest tenth and the angle measure to the nearest degree.
The cable is 74.3 meters long. The measure of the angle the cable would make with the ground is 48 degrees.
500
Find the area of the composite figure.
Area of composite figure = 80.4 ft sq.
500
⊙B that passes through (-2, 6) and has center B (-6, 3).
(x + 6)sq. + (y - 3)sq. = 25