Answer:
241°
Step-by-step explanation:
You are given the triangle internal angle (N) at Naples = 46°, and the side opposite a = 765 km. You are given the side b = 515 km, and asked to find an angle related to the internal angle opposite (C).
By the law of sines, the internal angle (C) at Canton is ...
sin(C)/b = sin(N)/a
C = arcsin((b/a)sin(N)) = arcsin(515/765·sin(46°)) ≈ 28.964°
The bearing from Elgin to Canton will be 270° less this angle, so is about 241°.
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Comment on your answer
Apparently, you added 29° to 270°, rather than subtracting. Since the direction from Elgin to Canton is south of west, the bearing angle must be between 180° and 270°. Note that a line west from Elgin will be parallel to the line east from Canton, so you can take advantage of alternate interior angles being congruent where the Elgin-Canton line crosses those parallel east-west lines.
Answer:
(-9, 3)
Step-by-step explanation:
To rotate a point 270°:
R₂₇₀ (x, y) = (y, -x)
So the answer would be (-9, 3).
i think it would be your first choice
75 ÷ 8 = 9
Remainder:- 3
So 8 goes in to 75 nine times with 3 left.
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 72 OR 9 × 8 = 72.
SO,
8 goes into 75 nine times with 3 left.
Hope I helped ya!
Answer:
x = 42.5
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter of the circle as it's hypotenuse is a right triangle ( a 90 degree triangle ) where the angle opposite of the hypotenuse is the 90 degree angle ( angle C )
Hence angle C = 90
If angle C = 2x + 5
Then 2x + 5 = 90
Notice that we just created an equation that we can use to solve for x
We now solve for x algebraically
2x + 5 = 90
Step 1 subtract 5 from both sides
2x + 5 - 5 = 90 - 5
Outcome: 2x = 85
Step 2 divide both sides by 2
2x/2 = 85/2
Outcome: x = 42.5
