Set G consists of: G={4, 8, 12, 16, 20, 24, 28, 32, 36,...} Set F represents the perfect squares: F={1, 4, 9, 16, 25, 36, 49, 64, 81, 100...} Within set F, the numbers 4, 16, 36, 64, and 100 are multiples of 4. The result is: {4, 16, 36, 64, 100}.
Utilizing the Law of Sines (sinA/a=sinB/b=sinC/c) and recognizing that the angles in a triangle add up to 180°.
The angle C calculates to 180-53-17=110°
Thus, we have 27/sin53=b/sin17=c/sin110
This leads to b=27sin17/sin53, c=27sin110/sin53
The perimeter is defined as a+b+c, so
p=27+27sin17/sin53+27sin110/sin53 units
p≈68.65 units (rounded to the nearest hundredth of a unit)
Answer:
1. $14.88
2. $12.40
Step-by-step explanation:
Translated into English:
A company is responsible for transporting office cabinets over a distance of 425km. The charge is R $ 2.10 for each kilometer journeyed. If the cabinets are assembled, the vehicle can carry 60 units. When taken apart, the capacity expands by 6 times. We need to determine: 1- The cost for each assembled cabinet? 2- The savings achieved per cabinet when they are disassembled.
Solution:
For 425 km at R $2.10 per km:
425 * 2.10 = $892.50 total expenditure
For the 60 assembled cabinets, the cost for each is calculated as:
Cost per assembled cabinet = 892.5/60 = $14.875, rounding to $14.88
When disassembled, the capacity becomes:
60 * 6 = 360
The cost per cabinet is then:
892.5/360 = $2.48
The savings indicate how much is saved compared to assembled cabinets:
14.88 - 2.48 = $12.40
Savings = $12.40
6 × 10 × 10 × 10 × 10 = Step-by-step breakdown: The exponent of any number reveals how many times that number is multiplied. It signifies the power applied to a number indicating how often that number is multiplied. Here, 10 is used four times, indicating an exponent of 4 for 10. Therefore, the expression can be represented as: