Answer:
A. The length of the third side is approximately 5 feet.
B. A = 
, B = 
and C = 
.
Step-by-step explanation:
Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.
A. Let side a = 6 feet and c = 3 feet, thus;
= 
+ 
- 2ac Cos B
= 
+ 
- 2(6 x 3) Cos
= 36 + 9 - 36 x 0.5
= 45 - 18
= 27
b = 
= 5.1962
b = 5.2 feet
b ≅ 5 feet
The length of the third side is approximately 5 feet.
B. Given that B = , then let us apply the Sine rule to determined the measure of A.
= 
So that,
= 
Sin A = 
Sin A = 0.99923
A = 
0.99923
= 87.75
A ≅
Since the sum of angle in a triangle = 
.
Then,
A + B + C =
+ + C =
+ C =
C = -
=
C =
Thus,
A = , B = and C = .
Answer:
Yes they should.
Step-by-step explanation:
If they both buy it peter will only be spending 2 dollars more but justin will be spending $9 less
Mark Brainlies plsss
Adjacent angles I think, as they are next to each other. Sorry if I’m wrong :(
Given expression is x² - 121
This is called Difference of Squared terms, we have a formula that is given as :-
a² - b² = (a - b) · (a + b)
Now using the above formula in the given expression, we get :-
x² - 121
x² - (11)²
here a = x and b = 11
x² - (11)² = (x - 11) · (x + 11)
but it says that student gave the answer as (x - 11) · (x - 11).
So, student's answer should be (x - 11) · (x + 11) instead of product of two (x - 11) terms.
You have to do this because the answe is the 2nx
