The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.
<h3>What is law of cosine?</h3>
Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.
Then we have
7² + c² – (2 · 7 · c) cos 105° = 10²
c² + 3.62c – 51 = 0
On solving, we have
c = 5.56
Then the angle C will be
10² + 7² – 2 · 7 · 10 · cos C = 5.56²
149 – 140 cos C = 30.91
cos C = 0.8435
C = 32.49°
We know that
∠A + ∠B + ∠C = 180°
105° + ∠B + 32.49° = 180°
∠B = 42.51°
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You have to make an equation that i forgot what was called but you just take
x+y=10 and multiply it by -2 so the y’s can cancel out
so you’ll end up with:
-2x-2y= -20
(+) x+2y=14
you’ll get : x = -6
then you plug in -6 for x, solve for y and your coordinates will be
(-6 , 10)
D-1/9
Below is why I think it’s D
Answer:
I fell for it
Step-by-step explanation:
A decimal<span> number and a </span>fractional<span> number can be </span>compared<span>. One number is either greater than, less than or equal to the other number. When </span>comparing fractional<span> numbers to </span>decimal<span> numbers, convert the </span>fraction<span> to a </span>decimal<span> number by division and </span>compare<span> the </span>decimal<span> numbers.</span>
