Answer:
343.7 ft
Step-by-step explanation:
The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.
The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...
Sin(angle) = Opposite/Hypotenuse
Filling in the given information, you have ...
sin(31°) = (177 ft)/hypotenuse
Solving for hypotenuse gives
hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft
The length of the guy wire should be 343.7 ft.
4(2k - 3) + 1 = 8k - 11
8k - 12 + 1 = 8k - 11
8k - 11 = 8k - 11
So, these two equations equal to the same thing.
Glad I could help and gave a fantastic day!
Answer:
The edge length of the shipping container is 14 in.
Step-by-step explanation:
The volume enclosed by a cube is the number of cubic units that will exactly fill a cube.
To find the volume of a cube we need to recall that a cube has all edges the same length. The volume of a cube is found by multiplying the length of any edge by itself twice. Or as a formula:

where, <em>s</em> is the length of any edge of the cube.
To find the edge length of the shipping container we use the fact that the volume of a cube shaped shipping container is 2744 in³ and the above formula.
![2744=s^3\\\\s^3=2744\\\\s=\sqrt[3]{2744}\\\\s = 14\:in](https://tex.z-dn.net/?f=2744%3Ds%5E3%5C%5C%5C%5Cs%5E3%3D2744%5C%5C%5C%5Cs%3D%5Csqrt%5B3%5D%7B2744%7D%5C%5C%5C%5Cs%20%3D%2014%5C%3Ain)
Answer:
Infinity
Step-by-step explanation:
9x -27 = 9x -27
-9x . -9x
-27 = -27 = always true
Answer:
B
Step-by-step explanation:
Exponents mean the base times itself
So 2^6 = 2 times itself six times