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
The correct choice is A.
EXPLANATION
The given cosine function is:
This function has an amplitude of 2.
Hence it must have range,
-2≤f(t)≤2
It has a period of
Hence the function must complete one cycle on the interval,
[0,½π],
[½π,π],
etc.
The negative sign shows a reflection in the y-axis but since the cosine function is even, the function retraces itself.
The correct choice is A
minus 6
Step-by-step explanation:
From 49 to 43 you minus 6
from 43 to 37 you minus 6
Please give me brainliest!
Ok so u have to multiply for this one
Work *Jake*:
So he spends 2 hours on each assignment. He has 3 assignments so u have to do :
2*3=6
He spend 6 hours a day doing home work so now u have to multiply that by 30:
6*30=180
Work *Orlando*:
So he spends 2 hours on each homework. He has 2 sheets each do so u have to multiply 2 and 2:
2*2=4
He spends 4 hours a day doing homwork so u have to multiply it by 30:
4*30=120
Answer:
So Jake spends 130 hours
Orlando spends 120 hours
Add both together:
120+130=250
They spend 250 hours together on work in 30 days/
These three roots are sufficient to enable us to form a 3rd degree polynomial:
f(x) = (x+4)(x-4)(x-2) = (x^2 - 16)(x-2) = x^3 - 2x^2 - 16x + 32 (answer)
