Matematika XII UAS Gasal 2018 SMK

What is the value of 2log 36 - 2log 9 + 2log 8?

• 32

• 5

• 2

• -1

• -2

What is the equation of the line that passes through the point (-2, 4) and is perpendicular to the line x + y - 2 = 0?

• x - y - 2 = 0

• x - y - 6 = 0

• x - y + 6 = 0

• x + y - 2 = 0

• x + y + 6 = 0

A baker has a capital of Rp 600,000.00 to buy type A bread at Rp 3,000.00 per pack and type B bread at Rp 2,000.00 per pack. The baker will buy a maximum of 250 packs of both types of bread. If each pack of type A bread yields a profit of Rp 600.00 and type B Rp 500.00. Which of the following statements is true?

• The maximum profit of the baker is Rp 125,000.00

• Maximum profit is obtained by selling 100 packs of type A and 150 packs of type B

• Maximum profit is obtained by selling 150 packs of type A and 100 packs of type B

• Selling only type A bread is the most profitable

• The baker will achieve maximum profit if the number of sold breads of both types is equal

A meeting hall has 20 rows of seats, the first row consists of 15 seats and each subsequent row has 4 more seats than the previous one. What is the total number of seats in the meeting hall?

• 720

• 840

• 960

• 1,060

• 1,240

A rope is cut into 5 pieces forming a geometric series. If the shortest piece is 3 cm and the longest is 48 cm, what is the length of the rope before it was cut?

• 144 cm

• 128 cm

• 112 cm

• 96 cm

• 93 cm

Given matrix A = and matrix B =. What is the matrix (A . B) -1?

Given triangle ABC with AB = 9 cm, BC = 3 cm. If angle C = 60 degrees, what is the measure of angle A?

• 30 degrees

• 45 degrees

• 60 degrees

• 75 degrees

• 105 degrees

Pak Ona has a plot of land depicted in a triangular diagram KLM. The length of side KM is 24 m, the length of side KL is 60 m, and the angle MKL is 30 degrees. If the land is sold for Rp 500,000.00 per square meter, what is the selling price of the land?

• Rp 120,000,000.00

• Rp 150,000,000.00

• Rp 180,000,000.00

• Rp 240,000,000.00

• Rp 360,000,000.00

In a test, a student must answer 10 out of 15 questions. Determine how many ways the student can answer the questions if the questions numbered with prime numbers must be answered.

• 252 ways

• 210 ways

• 126 ways

• 84 ways

• 56 ways

Two dice are thrown together 540 times, what is the expected frequency of the first die showing less than 3 or the sum of the two dice being 6?

• 300 times

• 270 times

• 255 times

• 225 times

• 180 times