Answer:
D
Step-by-step explanation:
Using the Cosine rule to find AC
AC² = BC² + AB² - (2 × BC × AB × cosB )
= 18² + 12² - ( 2 × 18 × 12 × cos75° )
= 324 + 144 - 432cos75°
= 468 - 111.8
= 356.2 ( take the square root of both sides )
AC =
≈ 18.9
-----------------------------------------
Using the Sine rule to find ∠ A
=
( cross- multiply )
18.9 sinA = 18 sin75° ( divide both sides by 18.9 )
sinA =
, then
∠ A =
(
) ≈ 66.9°
21*10=210
30*7=210
42*5=210
14*15=210
Answer:
All real numbers except 3
Step-by-step explanation:
Given

Required
Determine the domain
We start by writing the following inequality

Add 6 to both sides


Divide both sides by 2



<em>As such, the domain of x is all real numbers except 3</em>
Answer:
1,800$
Step-by-step explanation:
25% is 1/4th of the total amount. So...
Divide 2,400$ by 4 and get 600
Now, subtract 600 from 2,400.
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
<em>-kiniwih426</em>
Answer:
Cos x = 1 -
+
-
+ ...
Step-by-step explanation:
We use Taylor series expansion to answer this question.
We have to find the expansion of cos x at x = 0
f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x
Now we evaluate them at x = 0.
f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1
Now, by Taylor series expansion we have
f(x) = f(a) + f'(a)(x-a) +
+
+
+ ...
Putting a = 0 and all the values from above in the expansion, we get,
Cos x = 1 -
+
-
+ ...