This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the remaining questions. 4. Evaluate (12.78 × 10^-3)9 × 10^-1 expressing your answer in: Step 1: Evaluate the expression. 12.78 × 10^-39 × 10^-1 = ((12.78)/(9)) × (10^-310^-1) = 1.42 × 10^-3 - (-1) = 1.42 × 10^-3 + 1 = 1.42 × 10^-2 a) Standard form The number is already in standard form. 1.42 × 10^-2 b) Convert to 3 significant figures The number 1.42 × 10^-2 has three significant figures (1, 4, 2). 1.42 × 10^-2 c) In three decimal places First, convert to decimal form: 1.42 × 10^-2 = 0.0142 Now, round to three decimal places. The fourth decimal place is 2, so we round down. 0.014 5. Find angle ACB and angle ADB The image shows a circle with center O. The angle AOB = 50^ is the central angle subtended by the arc AB. Angles ACB and ADB are angles subtended by the same arc AB at the circumference. Step 1: Apply the circle theorem for angles subtended by the same arc. The angle subtended by an arc at the center is twice the angle subtended by the same arc at any point on the remaining part of the circle. Therefore, ACB = (1)/(2) AOB. Step 2: Calculate ACB. ACB = (1)/(2) × 50^ ACB = 25^ Step 3: Calculate ADB. Angles subtended by the same arc in the same segment are equal. Since ADB is also subtended by arc AB in the same segment as ACB, they are equal. ADB = ACB ADB = 25^ The value of ACB is 25^ and the value of ADB is 25^. Last free one today — make it count tomorrow, or type /upgrade for unlimited.