Given only one side and two angles, the law of sines is the appropriate choice. To use that, you need to know the angles opposite the side of interest and the given side.
∠C = 180° - ∠A - ∠B
∠C = 180° - 35° - 65° = 80°
Now, the law of sines tells you
b/sin(B) = c/sin(C)
b = c·sin(B)/sin(C) . . . . . multiply by sin(B)
b = 15·sin(65°)/sin(80°)
b ≈ 13.8_____
Or you can use a triangle solver.
Answer:
All I can really do is state it differently <> 4.5q /9
Answer:
- p = 4.5
- u = 35
- w = 12.6
- x = 55
- y = 35
- z = 7.2
Step-by-step explanation:
Angles u° and 55° are the acute angles of a right triangle, so are complementary.
u° = 90° -55° = 35°
Angles x° and y° are corresponding angles with 55° and u°, so are congruent to them, respectively.
x° = 55°; y° = 35°
In summary:
u = 35, x = 55, y = 35
__
Corresponding sides of the triangles are proportional, so ...
p/6 = 3/4
p = 18/4 = 4.5 . . . . . multiply by 6
The Pythagorean theorem can be used to find z:
z² = 4² +6² = 52
z = √52 = 2√13 ≈ 7.2
The scale factor between the larger triangle and the smaller one is ...
(3+4)/4 = 7/4
so ...
w = 7/4·z = (7/2)√13 ≈ 12.6
In summary:
p = 4.5; w ≈ 12.6; z ≈ 7.2
_____
<em>Comment on this problem figure</em>
With the given side measurements, the angles would be more correctly described as 56.3° and 33.7°. The geometry shown cannot exist.
We presume you're to use corresponding side relationships to find the side lengths, and angle relationships to find the angles. Trig relations will relate sides to angles, but those are not needed (or useful) in this problem. Since the angles are not properly related to the sides, trig relationships can only introduce confusion into what is otherwise a straightforward problem.
Step-by-step explanation:
I hope it is helpful to you
If the sale is of 60% it means that it is being sold for:
100 - 60 = 40%
Now use the rule of three to find the answer:
40 - 199
100- x
(100 * 199) / 40 = x
19900 / 40 = x
497,5 = x
Answer:
Hope it helped,
Happy homework/ study/ exam!