Answer:
B. 57
Step-by-step explanation:
You can solve the triangle using the Law of Cosines, then find the required angle using the Law of Sines. Or, you can estimate it based on the fact that the angle shown is very nearly 90°.
If ∠B were 90°, then the value of ∠C would be ...
∠C ≈ arctan(21/14) ≈ arctan(1.5) ≈ 56.3°
Since ∠B is slightly smaller, ∠C will be slightly larger. The nearest value slightly larger than 56.3° is choice B, 57°.
_____
Doing this the long way, you get ...
b² = a² + c² - 2ac·cos(B) = 14² +21² -2(14)(21)cos(89°) ≈ 626.738
b ≈ √626.738 ≈ 25.035
Then angle C is given by the law of sines as ...
sin(C)/c = sin(B)/b
C = arcsin(c/b·sin(B)) ≈ arcsin(0.838707) ≈ 57.004°
m∠C ≈ 57°
_____
Many graphing calculators can solve triangles, as can phone or tablet apps.
Step-by-step explanation:
BEC is 63° so aed is 4x - 3 I'm ps
I don’t see nothing there
Base Surface Area = 162
= 256 feet2
Lateral Surface Area =
2×16× √
( 16 )2 + 122
2
= 461.51056325939 feet2
Total Surface Area = 717.51056325939 feet2
The simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x
<h3>How to determine the simplified product?</h3>
The complete question is added as an attachment
From the attached figure, the product expression is:
2√8x³(3√10x⁴ - x√5x²)
Evaluate the exponents
2√8x³(3√10x⁴ - x√5x²) = 2 *2x√2x(3x²√10 - x²√5)
Evaluate the products
2√8x³(3√10x⁴ - x√5x²) = 4x√2x(3x²√10 - x²√5)
Open the bracket
2√8x³(3√10x⁴ - x√5x²) = 12x³√20x - 4x³√10x
Evaluate the exponents
2√8x³(3√10x⁴ - x√5x²) = 24x³√5x - 4x³√10x
Hence, the simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x
Read more about expressions at:
brainly.com/question/12990602
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