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Mathematics

1 answer:

ElenaW [278]3 years ago

4 0

Answer:

Here,

x + 25° + 3x + 95° + 80°=360° (Sum of angles of a quadrilateral is 360°)

or,x+3x + 25° + 95° + 80° =360°

or,4x + 200 = 360°

or,4x = 360 - 200

or,4x = 160

or,x = 160÷4

or,x = 40

Now,

Angle K = (x + 25)° = 40 + 25° = 65°

Angle L = 3x° = 3 × 40° = 120°

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siniylev [52]

Note that x is measured in radians.
The percent difference or error between sin(x) and tan(x) is calculated as
$d = 100( \frac{|sin(x)-tan(x)|}{sin(x)} )$

We want this percent difference to be less than 10.4%.
Because tan(x) > sin(x) for small values of x, define
$f(x) = \frac{tan(x)-sin(x)}{sin(x)}= 0.104 \\ or \\ sec(x) - 1 = 0.104 \\ sec(x) = 1.104$

From the calculator, obtain
sec⁻¹ 1.104 = 0.4375

Answer: x = 0.4375 radians

5 0

3 years ago

Help me please and thank you

SVETLANKA909090 [29]

Answer:

i HoNesTlY doNT kNow BuT thANks 4 tHe pONIts

Step-by-step explanation:

Just answer the question

3 0

3 years ago

Need help on answering 8.

Thepotemich [5.8K]