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3 years ago

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use a = 3.14 in

Mathematics

1 answer:

GalinKa [24]3 years ago

4 0

Answer:

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠈⡆⠀⣠⠞⢻⡀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⣤⠠⠓⠋⠁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣀⣀⡀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠖⠛⠉⠉⠉⠉⠉⠙⠛⢀⣀⣀⡀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⡾⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠳⡄⠀⠀

⠀⠀⠀⠀⠀⠀⠸⣿⢡⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀

⠀⠀⠀⠀⠀⠀⢰⠇⠘⠛⠃⠀⠀⠀⠀⠒⠒⠢⠀⠀⠀⠠⡤⢄⡼⠃⠀⠀

⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠘⢻⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⠉⠉⠉⠀⠀⣴⠛⣦⠀⠀⢀⠞⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⡀⠀⠀⠀⠀⡸⠀⠈⠛⣶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠈⡆⠀⣠⠞⢻⡀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⣤⠠⠓⠋⠁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣀⣀⡀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠖⠛⠉⠉⠉⠉⠉⠙⠛⢀⣀⣀⡀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⡾⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠳⡄⠀⠀

⠀⠀⠀⠀⠀⠀⠸⣿⢡⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀

⠀⠀⠀⠀⠀⠀⢰⠇⠘⠛⠃⠀⠀⠀⠀⠒⠒⠢⠀⠀⠀⠠⡤⢄⡼⠃⠀⠀

⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠘⢻⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⠉⠉⠉⠀⠀⣴⠛⣦⠀⠀⢀⠞⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⡀⠀⠀⠀⠀⡸⠀⠈⠛⣶⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⡴⢛⡝⠁⠙⠿⡿⠛⠚⢇⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢸⠁⣾⠁⠀⠀⠀⠀⠀⠀⢈⣳⡦⠚⠁⠀⠀⠀⠀⠀⠀

⠀⣴⢟⣿⣦⣄⡀⠈⢧⣿⠀⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠹⣮⣷⣤⡈⠙⠛⠲⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣖⠦⣤⣤⡄⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠸⣿⡗⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠉⠘⠧⡤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠈⡆⠀⣠⠞⢻⡀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⣤⠠⠓⠋⠁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣀⣀⡀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠖⠛⠉⠉⠉⠉⠉⠙⠛⢀⣀⣀⡀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⡾⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠳⡄⠀⠀

⠀⠀⠀⠀⠀⠀⠸⣿⢡⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀

⠀⠀⠀⠀⠀⠀⢰⠇⠘⠛⠃⠀⠀⠀⠀⠒⠒⠢⠀⠀⠀⠠⡤⢄⡼⠃⠀⠀

⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠘⢻⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⠉⠉⠉⠀⠀⣴⠛⣦⠀⠀⢀⠞⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⡀⠀⠀⠀⠀⡸⠀⠈⠛⣶⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⡴⢛⡝⠁⠙⠿⡿⠛⠚⢇⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢸⠁⣾⠁⠀⠀⠀⠀⠀⠀⢈⣳⡦⠚⠁⠀⠀⠀⠀⠀⠀

⠀⣴⢟⣿⣦⣄⡀⠈⢧⣿⠀⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠹⣮⣷⣤⡈⠙⠛⠲⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣖⠦⣤⣤⡄⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠸⣿⡗⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠉⠘⠧⡤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠈⡆⠀⣠⠞⢻⡀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⣤⠠⠓⠋⠁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣀⣀⡀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠖⠛⠉⠉⠉⠉⠉⠙⠛⢀⣀⣀⡀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⡾⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠳⡄⠀⠀

⠀⠀⠀⠀⠀⠀⠸⣿⢡⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀

⠀⠀⠀⠀⠀⠀⢰⠇⠘⠛⠃⠀⠀⠀⠀⠒⠒⠢⠀⠀⠀⠠⡤⢄⡼⠃⠀⠀

⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠘⢻⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⠉⠉⠉⠀⠀⣴⠛⣦⠀⠀⢀⠞⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⡀⠀⠀⠀⠀⡸⠀⠈⠛⣶⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⡴⢛⡝⠁⠙⠿⡿⠛⠚⢇⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢸⠁⣾⠁⠀⠀⠀⠀⠀⠀⢈⣳⡦⠚⠁⠀⠀⠀⠀⠀⠀

⠀⣴⢟⣿⣦⣄⡀⠈⢧⣿⠀⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠹⣮⣷⣤⡈⠙⠛⠲⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣖⠦⣤⣤⡄⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠸⣿⡗⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠉⠘⠧⡤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠈⡆⠀⣠⠞⢻⡀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⣤⠠⠓⠋⠁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣀⣀⡀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠖⠛⠉⠉⠉⠉⠉⠙⠛⢀⣀⣀⡀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⡾⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠳⡄⠀⠀

⠀⠀⠀⠀⠀⠀⠸⣿⢡⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀

⠀⠀⠀⠀⠀⠀⢰⠇⠘⠛⠃⠀⠀⠀⠀⠒⠒⠢⠀⠀⠀⠠⡤⢄⡼⠃⠀⠀

⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠘⢻⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⠉⠉⠉⠀⠀⣴⠛⣦⠀⠀⢀⠞⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⡀⠀⠀⠀⠀⡸⠀⠈⠛⣶⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⡴⢛⡝⠁⠙⠿⡿⠛⠚⢇⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢸⠁⣾⠁⠀⠀⠀⠀⠀⠀⢈⣳⡦⠚⠁⠀⠀⠀⠀⠀⠀

⠀⣴⢟⣿⣦⣄⡀⠈⢧⣿⠀⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠹⣮⣷⣤⡈⠙⠛⠲⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣖⠦⣤⣤⡄⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠸⣿⡗⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠉⠘⠧⡤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠈⡆⠀⣠⠞⢻⡀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⣤⠠⠓⠋⠁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣀⣀⡀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠖⠛⠉⠉⠉⠉⠉⠙⠛⢀⣀⣀⡀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⡾⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠳⡄⠀⠀

⠀⠀⠀⠀⠀⠀⠸⣿⢡⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀

⠀⠀⠀⠀⠀⠀⢰⠇⠘⠛⠃⠀⠀⠀⠀⠒⠒⠢⠀⠀⠀⠠⡤⢄⡼⠃⠀⠀

⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠘⢻⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⠉⠉⠉⠀⠀⣴⠛⣦⠀⠀⢀⠞⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⡀⠀⠀⠀⠀⡸⠀⠈⠛⣶⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⡴⢛⡝⠁⠙⠿⡿⠛⠚⢇⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢸⠁⣾⠁⠀⠀⠀⠀⠀⠀⢈⣳⡦⠚⠁⠀⠀⠀⠀⠀⠀

⠀⣴⢟⣿⣦⣄⡀⠈⢧⣿⠀⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠹⣮⣷⣤⡈⠙⠛⠲⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣖⠦⣤⣤⡄⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠸⣿⡗⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠉⠘⠧⡤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⡴⢛⡝⠁⠙⠿⡿⠛⠚⢇⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢸⠁⣾⠁⠀⠀⠀⠀⠀⠀⢈⣳⡦⠚⠁⠀⠀⠀⠀⠀⠀

⠀⣴⢟⣿⣦⣄⡀⠈⢧⣿⠀⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠹⣮⣷⣤⡈⠙⠛⠲⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣖⠦⣤⣤⡄⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠸⣿⡗⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠉⠘⠧⡤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Step-by-step explanation:

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For all real numbers b and c such that the product of c and 3 is b, which of the following expressions represents the sum of c a

slamgirl [31]

IN this question, it is given that

For all real numbers b and c such that the product of c and 3 is b.

That is

$3c=b$

Solving for c by dividing both sides by 3

$c = \frac{b}{3}$

And we have to find an expression , that represents the sum of c and 3 in terms of b. And sum of c and 3 is

$= c+3$

Substituting the value of c

$= \frac{b}{3} +3$

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If the answer is a whole number when divided by eleven

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3 years ago

In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°. Find the length of z, to the nearest centimeter.

Annette [7]

The value of side z will be equal to 99.32 cm.

<h3>What is trigonometry?</h3>

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

Given that:-

In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°

So by applying the formula given below:-

z² = x² + y² - 2xyCos(142)

z² = 79² + 27² - 2 ( 79 x 27 x Cos142 )

z = 99.32 cm

Hence the value of side z will be equal to 99.32 cm.

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Please help with this math question'

lianna [129]

Answer:

The rocket's maximum height will be 1424 feet.

It will reach that height in 4 seconds.

It will reach the ground in 8 seconds.

Step-by-step explanation:

One easy way to find the peak is to find the derivative and solve for zero:

h(t) = -16t² + 128t + 1680

To find the derivative of each term in that format, you simply multiply the coefficient by the exponent, and reduce the exponent by one. In the case of terms with no variable, they disappear. That gives us:

h'(t) = -32t + 128

This derivative describes the rate of change of h with respect to t, so to find the peak, we simply need to solve it for zero:

0 = -32t + 128

32t = 128

t = 4

So the maximum height occurs when t = 4. Let's plug it in to the original equation:

h(t) = -16t² + 128t + 1680

h(4) = -256 + 512 + 1680

h(4) = 1424

So the rocket's maxiumum height is 1424 feet.

And we've already answered the second question, it happens at 4 seconds.

Also, the amount of time going up will be the same as the amount of time going down, which means that it will reach the ground in twice that time, or 8 seconds.

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Which object would weigh closest to 5 pounds A.Bee B. Flour C.Hat D.Football

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