Answer:
The area of the figure is 6.8 in
Answer:
Step-by-step explanation:
Ones plus zero
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°
Learn more about law of cosines here:
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Find the circumference of the circle and show work. [refer to
attachment]
Formula for Circumference of a Circle:-
Where
- C = circumference
- π = pi (3.14…)
- r = radius, which in this case is equal to 8
Substitute the value of r and solve:-
C=2π(8)
On simplification,
C=16π
On further simplification,
C=50.3
Therefore, we conclude that the circumference of this circle is
<h3>Good luck.</h3>
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Answer:
(6x+5)(4x−1)
Step-by-step explanation:
24x² + 14x - 5 Factor the expression
(6x+5)(4x−1) Double check the answer by FOILing
24x² - 6x + 20x - 5 Combine like terms
24x² + 14x - 5 This answer does work
If this answer is correct, please make me Brainliest!
