Answers CREDIT RE-SEAT MNPS Integrated Math III IC S2 25-26Law of Sines (Sec 8-3)

Unit Test Answers

25 verified answers

Free Preview

Trigonometric area formula: Area =

70.5 square units

111.3 square units

185.4 square units

222.5 square units

Free Preview

Question is locked

Answer not available

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.What is the approximate area of the triangle? Round to the nearest tenth.Area of a triangle = bh

68.7 cm2

161.8 cm2

381.3 cm2

450.0 cm2

Question is locked

Answer not available

Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?

acute, because 102+122>152

acute, because 122+152>102

obtuse, because 102+122>152

obtuse, because 122+152>102

Question is locked

Answer not available

In which triangle is the value of x equal to tan−1? (Images may not be drawn to scale.)

A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x.

A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x.

A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x.

A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 3.1 is x.

Question is locked

Answer not available

An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the triangle, what is the greatest possible length of the longest side, rounded to the nearest tenth?

18.8 cm

24.2 cm

42.0 cm

72.7 cm

Question is locked

Answer not available

The diagonal of rectangle ABCD measures 2 inches in length.

1 inch

inches

4 inches

inches

Question is locked

Answer not available

Law of cosines: a2 = b2 + c2 – 2bccos(A)

34°

41°

51°

56°

Question is locked

Answer not available

Law of cosines: a2 = b2 + c2 – 2bccos(A)

92 = y2 + 192 – 2(y)(19)cos(41°)

y2 = 92 + 192 – 2(y)(19)cos(41°)

92 = y2 + 192 – 2(9)(19)cos(41°)

y2 = 92 + 192 – 2(9)(19)cos(41°)

Question is locked

Answer not available

Triangle V U W is shown. The length of side W V is 6 centimeters, the length of side W U is 3 StartRoot 3 EndRoot centimeters, and the length of side U V is 3 centimeters.

m∠V = 30°, m∠U = 60°, m∠W = 90°

m∠V = 90°, m∠U = 60°, m∠W = 30°

m∠V = 30°, m∠U = 90°, m∠W = 60°

m∠V = 60°, m∠U = 90°, m∠W = 30°

Question is locked

Answer not available

Use the diagram to complete the statement.

cos(38°).

cos(52°).

tan(38°).

tan(52°).

Question is locked

Answer not available

Which statements are true about triangle QRS? Select three options.

The side opposite ∠Q is RS.

The side opposite ∠R is RQ.

The hypotenuse is QR.

The side adjacent to ∠R is SQ.

The side adjacent to ∠Q is QS.

Question is locked

Answer not available

A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made from approximately 17 square inches of material.Heron’s formula: Area =

31 square inches

34 square inches

48 square inches

62 square inches

Question is locked

Answer not available

Triangle L J K is shown. Angle J L K is a right angle. The length of the hypotenuse is 15 inches and the length of the side adjacent to the right angle is 10 inches. The angle between the 2 sides is x.

sin(x) =

cos(x) =

Question is locked

Answer not available

Law of sines:

only 90°

only 155°

20° and 110°

45° and 135°

Question is locked

Answer not available

Two teams are pulling a heavy chest, located at point X. The teams are 4.6 meters away from each other. Team A is 2.4 meters away from the chest, and Team B is 3.2 meters away. Their ropes are attached at an angle of 110°.Law of sines:

StartFraction sine (uppercase A) Over 2.4 EndFraction = StartFraction sine (110 degrees) Over 4.6 EndFraction

StartFraction sine (uppercase A) Over 4.6 EndFraction = StartFraction sine (110 degrees) Over 2.4 EndFraction

StartFraction sine (uppercase A) Over 3.2 EndFraction = StartFraction sine (110 degrees) Over 4.6 EndFraction

StartFraction sine (uppercase A) Over 4.6 EndFraction = StartFraction sine (110 degrees) Over 3.2 EndFraction

Question is locked

Answer not available

Which equation can be used to find the length of ?

(10)sin(40o) = AC

(10)cos(40o) = AC

= AC

Question is locked

Answer not available

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm.

34.8°

39.4°

50.6°

55.2°

Question is locked

Answer not available

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

2.4 inches

3.2 inches

10.0 inches

15.7 inches

Question is locked

Answer not available

A right triangle is shown. The length of the hypotenuse is 4 centimeters and the lengths of the other 2 sides are congruent.

2 cm