Tuliskan jawaban no 15,16,17,18---B. Berilah tanda centang (√) pada jawaban yang benar. Jawaban benar lebih dari satu.
**Question 15:**
Waktu total belajar John untuk persiapan SAS Matematika selama 5 hari 10 jam 34 menit. Jojo belajar untuk persiapan SAS Matematika yang sama selama 129 jam. Pernyataan yang tepat yaitu ....
Options:
[ ] Total waktu yang lebih lama yaitu waktu belajar John.
[ ] Selisih waktu total belajar yaitu 1 jam 34 menit.
[ ] 8 kali waktu total belajar Jojo setara dengan 43 hari.
[ ] Waktu total belajar John yaitu 7.878 menit.
**Question 16:**
Perhatikan gambar!
Besar ∠ ABD = (50 + 2x)° dan besar ∠ CBD = (160 - 4x)°. Pernyataan yang tepat yaitu ....
Chart/Diagram Description:
Type: Geometric diagram showing angles on a straight line.
Main Elements:
- A straight line segment labeled A, B, C from left to right. Point B is on the line.
- A line segment DB extending upwards from B.
- A line segment EB extending downwards from B.
- Angles formed around point B: ∠ABD, ∠DBC, ∠ABE, ∠EBC.
- Labels: A, B, C, D, E.
- Angles: ∠ABD is labeled (50 + 2x)°. ∠DBC is labeled (160 - 4x)°.
Options:
[ ] Besar nilai x yaitu 25.
[ ] ∠ DBC = ∠ AEB.
[ ] ∠ EBC = 80°.
[ ] ∠ ABD bertolak belakang dengan ∠ CBE dan memiliki besar sudut sama besar.
**Question 17:**
Perhatikan gambar!
Chart/Diagram Description:
Type: Two 3D diagrams of blocks made of smaller cubes, connected by an arrow.
Main Elements:
- Left diagram: A large cube composed of smaller cubes. It appears to be a 5x5x5 arrangement of small cubes. Labeled "Balok Utuh (penuh kubus)".
- Right diagram: The same large block, but with some small cubes removed from the top-front-right corner. Labeled "Salah satu sisi Balok setelah diambil beberapa kubus".
Options:
[ ] Banyak kubus pada saat balok utuh yaitu 125 kubus satuan.
[ ] Banyak kubus yang diambil yaitu sebanyak 17 kubus satuan.
[ ] Banyak kubus setelah diambil beberapa kubus dari balok utuh yaitu 103kubus satuan.
[ ] Banyak kubus pada lapisan terluar balok utuh yaitu 86 kubus satuan.
**Question 18:**
Perhatikan gambar!
Pernyataan yang tepat yaitu ....
Chart/Diagram Description:
Type: Pie chart.
Main Elements:
- Divided into three sectors labeled A, B, and C.
- Sector A: Labeled "A" and "48 anak". It has a central angle that appears smaller than 90 degrees.
- Sector B: Labeled "B" with a central angle of 110°.
- Sector C: Labeled "C" with a right angle symbol (square) at the center, indicating a central angle of 90°.
- Text below the chart: "Data Peminat Matematika dari 3 Kelas".
Options:
[ ] Urutan dari peminat matematika terbanyak yaitu kelas B, A, C.
[ ] Banyak anak kelas C yaitu 27 anak.
[ ] Besar derajat untuk kelas A lebih besar 50° dibandingkan besar derajat kelas B.
[ ] Total anak dari ketiga kelas yaitu 108 anak.
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Let's solve Question 15 step by step. First, we convert John's study time to hours. 5 days equals 120 hours, plus 10 hours 34 minutes gives us 130 hours 34 minutes total. Comparing with Jojo's 129 hours, John studied longer by 1 hour 34 minutes. Finally, 8 times Jojo's time equals 1032 hours, which is exactly 43 days.
For Question 16, we have angles ABD and CBD on a straight line, so they sum to 180 degrees. Setting up the equation: 50 plus 2x plus 160 minus 4x equals 180. Solving gives us x equals 15. This makes angle ABD equal to 80 degrees and angle CBD equal to 100 degrees. Since angles ABD and CBE are vertically opposite, angle CBE also equals 80 degrees.
Question 17 involves a 5 by 5 by 5 cube. The full cube contains 125 unit cubes. From the diagram, we can count the removed cubes layer by layer: 6 cubes from layer 5, 6 from layer 4, 3 from layer 3, and 2 from layer 2, totaling 17 removed cubes. This leaves 108 cubes remaining.
For Question 18, we analyze the pie chart. Class A has 160 degrees since the total is 360 degrees minus 110 and 90. Using the ratio of students to angles, we find the total is 108 students. Class C has 27 students and Class B has 33 students. The order from most to least is A, B, then C. Class A's angle is 50 degrees larger than Class B's angle.
Here's a summary of all correct answers. For Question 15, John studied longer, the difference is 1 hour 34 minutes, and 8 times Jojo's time equals 43 days. For Question 16, angle EBC equals 80 degrees, and angles ABD and CBE are vertical angles. For Question 17, the full cube has 125 cubes and 17 were removed. For Question 18, Class C has 27 students, Class A's angle is 50 degrees larger than B's, and the total is 108 students.