Answer:
0.1515151515151515
Step-by-step explanation:
Angle SQN = 66 degrees (given)
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Use the inscribed angle theorem to get
Minor Arc SN = 2*(angle SQN)
Minor Arc SN = 2*(66)
Minor Arc SN = 132 degrees
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Arc PSN is a semicircle so it is 180 degrees, meaning that...
Arc PSN = (minor arc PS) + (minor arc SN)
180 degrees = (minor arc PS) + (132 degrees)
180 = (minor arc PS) + 132
180 - 132 = (minor arc PS) + 132 - 132
48 = minor arc PS
minor arc PS = 48 degrees
central angle RTP = minor arc PS = 48 degrees
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Focus on triangle PTR; isolate angle PRT
(angle TPR) + (angle PRT) + (angle RTP) = 180
(90) + (angle PRT) + (48) = 180
(90+48) + (angle PRT) = 180
138 + (angle PRT) = 180
138 + (angle PRT) - 138 = 180 - 138
angle PRT = 42 degrees
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Final Answer:
The measure of angle PRT is 42 degrees
Answer:
c
Step-by-step explanation:
I believe its c I've done this last semester
hey buddy here is your answer!
Volume of a cuboid = l × b × h
Volume of earth dug out = 10 × 8 × 3 = 240 m^3
Volume of earh dug = 40 × 30 × height of the rectangular plot
240 = 40 × 30 × h
240 = 1200 × h
240 = 1200h
h = 240 / 1200 = 20 / 100 = 1 / 5 = 0.2
h = 0.2 m
So the plot height increased by 0.2 m or 200cm.
