The measures of two complimentary angles are in the ratio of 2:3; what is the measure of the smaller angle?
36
For triangle ABC, AB=25, BC=7, CA=24 what are the trig ratios for sinA, cosA, and tanA?
7/25, 24/25, 7/24
What is the measure of the area of a rhombus with one diagonal measuring 16cm and one side measuring 10cm?
96cm2
What is the lateral area, in terms of pi, of a cylinder with a radius of 5 in. and a height of 15 in.?
150pi in2
What is 75 degrees?
A 3ft vertical post casts a 24in shadow at the same time a pine tree casts a 30ft shadow; what is the height of the pine tree?
45ft
What is the length of the hypotenuse, in simplest radical form, of a right triangle with legs measuring 20 and 17 inches?
sqrt689
If the ratios of two similar figures is 8:25, what is the ratio of their perimeters?
2sqrt2/5
What is the volume of a sphere, in terms of pi, with surface area 100pi m2?
500pi/3 m3
x=4.8
What is the geometric mean of 12 and 15?
6sqrt5
What is the perimeter, in simplest radical form, of an isosceles right triangle with hypotenuse 8cm?
8sqrt2+8cm
What is the area of a circle with a diameter of 20 in? Round to nearest inch.
What is 987in2
What is the surface area of a square pyramid with side length 6m and slant height 15m?
192m2
What is the measure of angle GHZ?
43.5 degrees
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with lengths 5 and 7; in simplest radical form, what is the measure of the altitude?
sqrt35
For triangle JKL with JK=8, KL=10, and the measure of angle K=49.7, what is JL to the nearest tenth?
JL=7.8
Triangle ABC has sides AB=19cm BC=15 and the measure of angle B is 45 degrees; to the nearest tenth, what is the area of triangle ABC?
100.8cm2
What is the volume of a cone with radius 8cm and slant height 10cm? (Round to the nearest tenth)
402.1cm3
78mm
In a right triangle, s2=8 and h=14; in simplest radical form, what is l1?
2sqrt21
For triangle MNO with NO=5.6, OM=4, and the measure of angle N=40, to the nearest tenth, what is the measure of angle M?
Measure of angle M=59.5
To the nearest tenth, what is the area of a regular decagon with radius 5ft?
73.5ft2
The volume of a Hexagonal Prism with a side length of 4cm and a height of 10cm.
415 cm3
Quadrilateral QUAD is inscribed in a circle. Angle Q = 60 Degrees and angle U = 110 degrees. What is the measure of Angle D?
What is D = 120 degrees?