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:
independent variable- change or control
dependent- measure
so ...
x can be type of lizard (you can change the lizard's size, type/species, etc)
y can be the mass in grams ( u measure mass)
Answer:
Step-by-step explanation:
Factor each half of the expression separately:
Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:
For this case we have that the generic equation of the line is given by:
Where,
m: slope of the line
b: intersection with the y axis.
Since the line is parallel to PQ, then the slopes are equal.
We have then:
On the other hand we have:
Substituting values we have:
Answer:
The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
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