Answer: 401.952380952
Step-by-step explanation:
Answer:
SAS
Step-by-step explanation:
We have AM = MH
Then Angle AMT equal to angle HMT
Then side MT equal to MT
The triangles are congruent by side angle side
Perimeter is the out side to think the outside of a rug and area in the inside so the outline of you room all you have to do is add the numbers given you can me only two numbers but let’s say you have a square that has 4 written on each side add 4 four times so 4+4+4+4=16 got it?
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
<h3>Trigonometry identity</h3>
Trigonometry identities are expressed as a function of cosine, sine and tangent.
Given the trigonometry expression shown
4cos2θ+9=−14cosθ
Equate to zero
4cos2θ+9 + 14cosθ = 0
According to trig identity
cos2θ = 2cos²θ - 1
Substitute to have:
4(2cos²θ - 1)+9 + 14cosθ = 0
Expand
8cos²θ - 4 + 9 + 14cosθ = 0
8cos²θ+ 14cosθ + 5 = 0
let P = cosθ to have;
8P² + 14P + 5 = 0
Factorize the result
8P² + 10P + 4P + 5 = 0
2P(4P+5)+1(4P+5)=0
(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4
P = -1/2 and -5/4
Recall that P = cosθ
If P = -1/2
cosθ = -1/2
θ = -60
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
Learn more on trigonometry identity here: brainly.com/question/24349828
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Maturity risk for 3 year Treasury security is 0.1%
<u>Explanation:</u>
Given -
Rate of 3 year Treasury security, R3 = 7%
Rate of 6 year Treasury security, R6 = 6.2%
Rate of inflation, Ri = 2.25% next year, 2.5% on 2nd year, 2.5% on 3rd year
Real interest rate, Rint = 4.4%
Maturity risk on 3 year Treasury security, x = ?
Maturity risk for 3 year Treasury security:
R3 = Ri on 3rd year + Rint + x
7% = 2.5% + 4.4% + x
x = 0.1%
Therefore, Maturity risk for 3 year Treasury security is 0.1%
