Answer:
slove it by yourself dear
Step-by-step explanation:
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You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
Answer:
Uriel's stick is LONGER by 7/24 feet
Step-by-step explanation:
Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?
The above question is solved as
Uriel's stick - Nat's stick
= 3 2/3 feet - 3 3/8 feet
= 7/24 feet
Hence, Uriel's stick is LONGER by 7/24 feet
Answer:
6 miles north and 3 miles west
Step-by-step explanation:
If you picture these miles on a graph, you start at (0,0). Then you go 8 miles south (0, -8). Then 3 miles east (3, -8). Finally, 2 miles north (3, -6). You are 3 miles east and 6 miles south, so you go the opposite directions.
4/28 = 1/7 when dividing both numerator & denominator by 4 and this would be the simplified fraction.
You could use 1/7 to multiply with others to get other ratios that are equal to 4/28 or you could just use 4/28.
For example:
1/7 = 7/49
or
4/28 = 8/56
