1. 14/3
2. 9
4. 5
5. 15
(Sixth one is confusing sorry! But I hope you do well on it since I can't help you :|)
Answer:
m∠MNQ = 158
Step-by-step explanation:
As it can be seen in the figure:
+) The measure of arc MQ = 91 degree
+) The measure of arc RP = 225 degree
As this is the circle, four points M, Q, P and R are on the circle, so that we have:
+) m∠RMP = 1/2. measure of arc RP = 1/2 x 225 = 112.5 degree
As N is on MP
=> m∠RMN = m∠RMP = 112.5
+) m∠ MRQ = 1/2 measure of arc MQ = 1/2 x 91 = 45.5 degree
As N is on RQ
=> m∠MRN = m∠MRQ = 45.5
In the triangle RMN, the total measure of 3 internal angles is equal to 180 degree, so that:
m∠MNR + m∠RMN + m∠MRN = 180
=> m∠MNR + 112.5 + 45.5 = 180
=> m∠MNR = 180 -112.5 -45.5 = 22
As N is on QR
=> m∠MNR + m∠MNQ = 180
=> m∠MNQ = 180 - m∠MNR = 180 - 22 = 158
So that m∠MNQ = 158
Answer: magnitude of an earthquake with an energy release of 7.079 X 10^26 =8
Step-by-step explanation:
Given that the magnitude M of an earthquake can be expressed by the equation
M=(2/3)log E - 9.9
Given that Energy release , E=7.079 X 10^26
Magnotude , M=(2/3)log E - 9.9
=2/3 log7.079 X 10^26 -9.9
2/3 x 2.8499719 -9.9
17.8999813 -9.9
=7.9999
rounded to 8 magnitude
Your answer is x={-1, 11/3}
