Answer:
true
Step-by-step explanation:
because when we subtract 18 and 4, the answer is 12. Hence, the value is less than 18
The absolute value of a real number a is a when a≥0, or -a when a<0. The absolute value of -6 is 6. The absolute value of 4 is 4.
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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:
He is incorrect. The true greatest common factor is 8.
Step-by-step explanation
Although 4 is a factor of both numbers, 32 and 8 can both be factorized (multiplied) by 8 to have the given numbers as an outcome.
Ex. 4 * 8 = 32 ; 8 * 1 = 8