Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round lengths to the nearest tenth and angle measures to the nearest degree.B = 82°, b = 3, a = 24
A. A = 41°, C = 57°, c = 27
B. A = 42°, C = 57°, c = 31
C. no triangle
D. A = 40°, C = 57°, c = 29
Answer: C
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Solve the problem.The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. If a person weighs 180 pounds on the surface of the earth and the radius of the earth is 3900 miles, what will the person weigh if he or she is 150 miles above the earth's surface? Round your answer to the nearest hundredth of a pound.
A. 168.31 lb B. 166.41 lb C. 166.91 lb D. 167.31 lb
Decide whether or not the points are the vertices of a right triangle.Consider the three points A = (-5, -2), B = (-7, 0), C = (-11, -4). Determine whether the triangle ABC is a right triangle. Explain your reasoning.
A. The side lengths of triangle ABC are d(A, B) = 4
, d(A, C) = 2
, d(B, C) = 4.
[d(A, B)]2 + [d(B, C)]2 = (4
)2 + 42 = 32 + 16 = 48
[d(A, C)]2 = (2
)2 = 40
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
B. The side lengths of triangle ABC are d(A, B) = 2
, d(A, C) = 2
, d(B, C) = 4.
[d(A, B)]2 + [d(B, C)]2 = (2
)2 + 42 = 8 + 16 = 24
[d(A, C)]2 = (2
)2 = 40
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2 , triangle ABC is not a right triangle.
C. The side lengths of triangle ABC are d(A, B) = 2
, d(A, C) = 4
, d(B, C) = 4
.
[d(A, B)]2 + [d(B, C)]2 = (2
)2 + (4
)2 = 8 + 32 = 40
[d(A, C)]2 = (4
)2 = 160
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
D. The side lengths of triangle ABC are d(A, B) = 2
, d(A, C) = 2
, d(B, C) = 4
.
[d(A, B)]2 + [d(B, C)]2 = (2
)2 + (4
)2 = 8 + 32 = 40
[d(A, C)]2 = (2
)2 = 40
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.
Supply the missing numbers. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent.fractiondecimalpercent
A.
| 0.56? | 560% |
B.
| 0.56? | 56% |
C.
| 0.44? | 4.4% |
D.
| 0.44? | 44% |
Find an equation for the parabola described.Vertex at (9, 5); focus at (2, 5)
A. x = 
(y - 5)2 + 5
B. x = 
(y - 5)2 + 9
C. x = - 
(y - 5)2 + 9
D. x = - 
(y - 5)2 + 5