Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!!
2 answers:
Answer:
Side Length AB = 22
Side Length CB = 35.21
Side Length = 41.52
Angle A = 58°
Angle B = 90°
Angle C = 32°
Step-by-step explanation:
- Side Length CB;
Tan(32) = 22 / CB
Tan(32) * CB = 22
CB = 22 / Tan(32)
CB = 35.21
- Side Length AC; (Now that we know the Length of AB and BC)
22² + 35.21² = AC²
484 + 1239.74 = AC²
1723.74 = AC²
= AC
41.52 = AC
- Angle A (Since we know Angle B and Angle C)
Angle A + Angle B + Angle C = 180°
Angle A + 32° + 90° = 180
Angle A + 122 = 180
Angle A = 180 - 122
Angle A = 58°
Hope this helps!
You might be interested in
Answer:
Options (2) and (3)
Step-by-step explanation:
Let,
-8 + 8i√3 = a² + b²i² + 2abi
-8 + 8i√3 = a² - b² + 2abi
By comparing both the sides of the equation,
a² - b² = -8 -------(1)
2ab = 8√3
ab = 4√3 ----------(2)
a =
By substituting the value of a in equation (1),
48 - b⁴ = -8b²
b⁴ - 8b² - 48 = 0
b⁴ - 12b² + 4b² - 48 = 0
b²(b² - 12) + 4(b² - 12) = 0
(b² + 4)(b² - 12) = 0
b² + 4 = 0 ⇒ b = ±√-4
b = ± 2i
b² - 12 = 0 ⇒ b = ±2√3
Since, a =
For b = ±2i,
a =
=
=
But a is real therefore, a ≠ ±2i√3.
For b = ±2√3
a =
a = ±2
Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)
Options (2) and (3) are the correct options.