To find the exact value using trigonometric identities
Exact form 456 divide a by 5
Decimal form 91.2
Mixed number form 91 1
-
5
Answer:
Yes
Step-by-step explanation:
If you find the value of all the angles, you'll find that both triangles' angles are 50, 35, and 90 degrees.
(all the angles in a triangle add up to 180)
Answer:
The first 3 terms of the sequence
are:
![5, 3, 1](https://tex.z-dn.net/?f=5%2C%203%2C%201)
Step-by-step explanation:
Given the sequence
Here
represents any term number in the sequence
Determining the first term
substitute n = 1 in the sequence to determine the first term
![t(n)=-2n+7](https://tex.z-dn.net/?f=t%28n%29%3D-2n%2B7)
![t(1)=-2(1)+7](https://tex.z-dn.net/?f=t%281%29%3D-2%281%29%2B7)
![t(1)=-2+7](https://tex.z-dn.net/?f=t%281%29%3D-2%2B7)
![t(1) = 5](https://tex.z-dn.net/?f=t%281%29%20%3D%205)
Determining the 2nd term
substitute n = 2 in the sequence to determine the 2nd term
![t(n)=-2n+7](https://tex.z-dn.net/?f=t%28n%29%3D-2n%2B7)
![t(2) = -2(2) + 7](https://tex.z-dn.net/?f=t%282%29%20%3D%20-2%282%29%20%2B%207)
![t(2) = -4 + 7](https://tex.z-dn.net/?f=t%282%29%20%3D%20-4%20%2B%207)
![t(2) = 3](https://tex.z-dn.net/?f=t%282%29%20%3D%203)
Determining the 3rd term
substitute n = 3 in the sequence to determine the 3rd term
![t(n)=-2n+7](https://tex.z-dn.net/?f=t%28n%29%3D-2n%2B7)
![t(3) = -2(3) + 7](https://tex.z-dn.net/?f=t%283%29%20%3D%20-2%283%29%20%2B%207)
![t(3) = -6 + 7](https://tex.z-dn.net/?f=t%283%29%20%3D%20-6%20%2B%207)
![t(3) = 1](https://tex.z-dn.net/?f=t%283%29%20%3D%201)
Therefore, the first 3 terms of the sequence
are:
Step-by-step explanation:
We need to find each of the following as a rational number in the form of p/q
(a) (3/7)² (b) (7/9)³ (c) (-2/3)⁴
Solution,
(a) (3/7)²
![(\dfrac{3}{7})^2=\dfrac{9}{49}](https://tex.z-dn.net/?f=%28%5Cdfrac%7B3%7D%7B7%7D%29%5E2%3D%5Cdfrac%7B9%7D%7B49%7D)
(b) (7/9)³
![(\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}](https://tex.z-dn.net/?f=%28%5Cdfrac%7B7%7D%7B9%7D%29%5E3%3D%5Cdfrac%7B7%5Ctimes%207%5Ctimes%207%7D%7B9%5Ctimes%209%5Ctimes%209%7D%5C%5C%5C%5C%3D%5Cdfrac%7B343%7D%7B729%7D)
(c) (-2/3)⁴
![(\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}](https://tex.z-dn.net/?f=%28%5Cdfrac%7B-2%7D%7B3%7D%29%5E4%3D%5Cdfrac%7B-2%5Ctimes%20-2%5Ctimes%20-2%5Ctimes%20-2%7D%7B3%5Ctimes%203%5Ctimes%203%5Ctimes%203%7D%5C%5C%5C%5C%3D%5Cdfrac%7B16%7D%7B81%7D)
Hence, this is the required solution.
Answer:
Conclusion: ◇WAU ≅ ◇JAU
Reason: ASA theorem
Step-by-step explanation: