Answer:
Step-by-step explanation:
![\frac{3}{4} x \frac{8}{3} =2](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20x%20%5Cfrac%7B8%7D%7B3%7D%20%3D2)
Answer:
64°
Step-by-step explanation:
Check the attachment for the diagram. Since the triangle has one of its angle as 90°, it is a right angled triangle.
Using the SOH CAH TOA trigonometry ratios:
Since ∠P is opposite to side QR,
QR = opposite side = 8ft
RP = adjacent side = 3.9ft
According to TOA
Tan∠P = Opposite/Adjacent = QR/RP
Tan∠P = 8/3.9
Tan∠P = 2.05
∠P = arctan 2.051
∠P = 64°
62=14+2x i think im not 100 % sure but i think
Answer:
there are two solutions:
a)
, and
b) ![y=\frac{-6-2\sqrt{6} }{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-6-2%5Csqrt%7B6%7D%20%7D%7B5%7D)
Step-by-step explanation:
In the equation:
, since a perfect square with the unknown "y" is isolated on the left of the equal sign, we start by applying the square root on both sides of the equality, and then on isolating the unknown:
![(5y+6)^2=24\\\sqrt{(5y+6)^2} =+/-\sqrt{24} \\(5y+6)=+/-\sqrt{6*4} \\(5y+6)=+/-2\sqrt{6}\\5y=-6+/-2\sqrt{6}\\y=\frac{-6+/-2\sqrt{6} }{5}](https://tex.z-dn.net/?f=%285y%2B6%29%5E2%3D24%5C%5C%5Csqrt%7B%285y%2B6%29%5E2%7D%20%3D%2B%2F-%5Csqrt%7B24%7D%20%5C%5C%285y%2B6%29%3D%2B%2F-%5Csqrt%7B6%2A4%7D%20%5C%5C%285y%2B6%29%3D%2B%2F-2%5Csqrt%7B6%7D%5C%5C5y%3D-6%2B%2F-2%5Csqrt%7B6%7D%5C%5Cy%3D%5Cfrac%7B-6%2B%2F-2%5Csqrt%7B6%7D%20%7D%7B5%7D)
Therefore there are two solutions:
a)
, and
b) ![y=\frac{-6-2\sqrt{6} }{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-6-2%5Csqrt%7B6%7D%20%7D%7B5%7D)