Answer:
Option B. 3/4 > 2/3 is the correct answer.
Step-by-step explanation:
Lets look at the options one by one
A. 1/2 < 1/3
This inequality converts into 0.5<0.33 which is false.
B. 3/4 > 2/3
This simplifies to 0.75>0.666 which is true.
C. -1/4 < - 2/3
This converts to -0.25<-0.666 which makes the inequality false.
D. -1 > 3/4
This converts to -1>0.75 which makes the inequality false.
Hence,
Option B. 3/4 > 2/3 is the correct answer.
The magnitude of the vector is
the component form is
<2,5>
The length of extra cable that is required to connect the two pieces of existing cable is equal to 182 meters.
<h3>How to determine the length of extra cable?</h3>
In order to determine the length of extra cable that is required to connect the two pieces of existing cable, we would apply the law of cosine as follows:
B² = A² + C² - 2(A)(C)cosB
Substituting the given parameters into the formula, we have;
B² = 325.0² + 430.0² - 2(325.0)(430.0)cos23
B² = 105,625 + 184,900 - 279,500(0.9205)
B² = 290,525 - 257,279.75
B² = 33,245.25
B = √33,245.25
B = 182.33 ≈ 182 meters.
Read more on cosine law here: brainly.com/question/11000638
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