Answer:
The number of houses built in Town B is 56.
Step-by-step explanation:
We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.
Also, 70 houses were built in Town A during 210.
Let the number of houses built in Town B be 'x'.
So, according to the question;
Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B
x = 56
Hence, the number of houses built in Town B is 56.
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.
Answer:
9 is your answer for x.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, & =
Parenthesis
Exponent (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 13 & 8x from both sides:
2x (-8x) + 13 (-13) = 8x (-8x) - 41 (-13)
2x - 8x = -41 - 13
Simplify. Combine like terms:
-6x = -54
Isolate the variable, x. Divide -6 from both sides:
(-6x)/-6 = (-54)/-6
x = (-54)/(-6)
x = 9
x = 9 is your answer.
~
Answer:
x = 180 - 30 - 41 - 67 = 42°
