Angle?
Find the third angle of a triangle that has angle measures 47 degrees and 85 degrees.
48 degrees
Find the side length,a, if b=7, c=10, and the angle across from c is 90 degrees.
Sqrt(51)
Find the area of a right triangle that has a base length of 12 inches and a height of 20 inches.
120 square inches
Rewrite the vector <-3,2> as a linear combination of i and j.
-3i+2j
Find the dot product of a and b if a=<-4,6> and b=<2,-6>.
-8-36=-44
Find the missing angle. Round to the nearest hundredth.
35.07 degrees
Find side b. Round to the nearest tenth.
4.4
Find the area of the triangle when a=5cm, b=10cm, and gamma=48 degrees. Round to the nearest tenth.
Area=18.58 square cm
If a=<4,-3> and b=<10,-2>, find 2a-3b.
<-22,0>
Are the following two vectors orthogonal? Justify your answer.
a=<-2,7>
b=<14,4>
Yes, the dot product equals 0.
Find the missing angle. Round to the nearest hundredth.
68.15 degrees
Find a. Round to the nearest hundredth.
20.94
Find the area of triangle ABC given that a=9.2, b=4.5, and alpha=63degrees. Round to the nearest 10th.
20.7 square units
If a=<3,-2> and b=<4,6>, sketch the vector a+b.
<7,4>
Find the angle between the vectors a and b. Round to the nearest 10th.
a=<4,-1>
b=<-3,-5>
106.9 degrees
Find the missing angle, alpha. Round to the nearest hundredth.
100.98 degrees
Find the length of side AB. Round to the nearest hundredth.
5.72 or 5.63
Find the area of triangle ABC.
25sqrt(3)/3
Find the vector with magnitude 7 in the opposite direction of the vector <-12,5>. Do not round, use fractions.
<84/13,-35/13>
Find the work done to push a vehicle 50 feet on a horizontal surface with a constant force of 80lb.
4000ft-lb
Find angle x.
75 degrees
If alpha=75 degrees,
c=5.2, and beta=32 degrees,
find the side lengths a and b. Round both to the nearest hundredth.
a=5.25
b=2.88
Use Heron's Formula to find the area of the triangle that has side lengths 240, 291, and 175 yards. Round to the nearest whole number.
Area=20,981 square yards
If the magnitude of vector a is 35 lbs, the magnitude of vector b is 60 lbs, and the angle between the two vectors in 55 degrees, find the magnitude of the resultant vector. Round to the nearest hundredth.
85.05 lbs
Find the work done against gravity to push a 95lb wagon a distance of 60 feet up a ramp with an incline of 45 degrees. Round to the nearest whole number.
4030 ft-lb