As soon as I read this, the words "law of cosines" popped
into my head. I don't have a good intuitive feeling for the
law of cosines, but I went and looked it up (you probably
could have done that), and I found that it's exactly what
you need for this problem.
The "law of cosines" relates the lengths of the sides of any
triangle to the cosine of one of its angles ... just what we need,
since we know all the sides, and we want to find one of the angles.
To find angle-B, the law of cosines says
b² = a² + c² - 2 a c cosine(B)
B = angle-B
b = the side opposite angle-B = 1.4
a, c = the other 2 sides = 1 and 1.9
(1.4)² = (1)² + (1.9)² - (2 x 1 x 1.9) cos(B)
1.96 = (1) + (3.61) - (3.8) cos(B)
Add 3.8 cos(B) from each side:
1.96 + 3.8 cos(B) = 4.61
Subtract 1.96 from each side:
3.8 cos(B) = 2.65
Divide each side by 3.8 :
cos(B) = 0.69737 (rounded)
Whipping out the
trusty calculator:
B = the angle whose cosine is 0.69737
= 45.784° .
Now, for the first time, I'll take a deep breath, then hold it
while I look back at the question and see whether this is
anywhere near one of the choices ...
By gosh ! Choice 'B' is 45.8° ! yay !
I'll bet that's it !
3(d + 11) = 6(d + 33)
So you have: 3d + 33 = 6d + 198
which is: -3d = 165
or d = -55
So you have <em>only one answer.</em>
Answer:
In the second step, the +16 should be -16
In the 3rd step, you should add 16 instead of subtracting 16
m=0
Answer:
70°
Step-by-step explanation:
Since ∠BCA is supplementary with the 110° angle shown on the other side, ∠BCA = 180° (The measurement of a straight line) - 110° = 70°.
~Hope this helps!~
The sum of the length of the two sides of the triangle must be greater than the length of the third side. None of the triangles is formed. Then option A is correct.
<h3>What is the triangle?</h3>
Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
The sides of the triangle are 4.7 m, 1.6 m, and 2.9 m.
The condition will be
We know that the sum of the length of two sides of the triangle must be greater than the length of the third side.
Hence, none of the triangles is formed.
Thus, option A is correct.
More about the triangle link is given below.
brainly.com/question/25813512