Answer:
bearing of A from C is - 65.24°
the distance |BC| is 187.84 m
Step-by-step explanation:
given data
girl walks AB = 285 m (side c)
bearing angle B = 78°
girl walks AC = 307 m (side a)
solution
we use here the Cosine Law for getting side b that is
ac² = ab² + bc² - 2 × ab × cos(B) ...............1
307² = 285² + x² - 2 × 285 cos(78)
x = 187.84 m
and
now we get here angle θ , the bearing from A to C get by law of sines
sin (θ) = 
sin (θ) = 0.5985
θ = 36.76°
and as we get here angle BAC that is
angle BCA = 180 - ( 36.76° + 78° )
angle BCA = 65.24°
and here negative bearing of A from C so - 65.24°
(-3)-(-6)×(-9)
Simplify your equation to make it look neater.
(-3)+(6)×(-9)
Combine like terms.
(-3+6)×(-9)
Simplify.
(3)×(-9)
Simplify. Remember, a negative times a positive is ALWAYS a negative.
-27
~Hope I helped!~
Answer:
Step-by-step explanation:
-4x + 1 = -4x + 1
1 = 1
infinitely many solutions
In the given triangle we have the following:
A. The sum of the inner angles of a triangle is always equal to 180, that is:
From this, we can solve for the sum of angles 1 and 2 and we get:
Now, we also know that angles 3 and 4 are supplementary angles and therefore their sum is 180 degrees, that is:
Solving for angle 4:
Equating both results we get:
Therefore, it is true that angle 4 is the sum of angles 1 and 2.
B. We have that the sum of angles 2 and 3 is:
If this were equal to angle 4 we would have:
B
We are asked in this problem to find the real root of the polynomial f(x) = x3 + 0.5x2 + 4.5. in this case, to find the root of the equation, we equate the equation to zero.
<span>f(x) = x³ + 0.5x² + 4.5 = 0
2x3 + x^2 + 9 = 0
</span><span>x1=−1.83557
</span>x2=0.66779+1.41619∗i
x3=0.66779−1.41619∗i
answer is -1.84
