Answer:
b. A = 71.6°; C = 45.40°; b =15.0
Step-by-step explanation:
The missing values can be found with the help of the Law of Cosine and properties of triangles:
Side b (Law of Cosine)



Angle A (Law of Cosine)





Angle C (Sum of internal angles in triangles)


Hence, the right answer is B.
Answer:
slope = y = 1/2
y-intercept = b = -3
Step-by-step explanation:
slope intercept equation:
y = mx + b----->(equation 1)
m is slope
b is y-intercept
y = 1/2x - 3----->(equation 2)
Compare (equation 1) and (equation 1)
slope = y = 1/2
y-intercept = b = -3
There are 11 trains containing giraffes and 7 trains containing rabbits.
<h3>
Equation</h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of train with giraffes and y represent the number of train with rabbits.
Hence:
25x = 40y
25x - 40y = 0 (1)
Also:
25x + 40y > 500 (2)
From both equations:
A possible solution is x = 11, y = 7
There are 11 trains containing giraffes and 7 trains containing rabbits.
Find out more on Equation at: brainly.com/question/22688504
Here, we are required to determine how many hours your friend will drive in order to catch you.
(a)<em> Your friend will have to drive 7 and a half hours inorder to catch </em><em>you.</em>
<em>(</em><em>b)</em><em> </em><em>You </em><em>both </em><em>will </em><em>be </em><em>6</em><em>7</em><em>5</em><em> </em><em>miles</em> <em>away </em><em>from </em><em>Ellensburg</em><em> </em><em>at </em><em>that </em><em>time.</em>
If you leave at 1 pm; At 2:30pm;
- That is; 1 and a half hours after leaving; you must have covered a distance, d = 75 × 1.5
- d = 112.5miles.
Therefore, your position; S after 2:30pm is given by;
S(a) = 75t + 112.5 miles from Ellensburg.
For your friend; travelling at 90miles/hr;
- His position is given as; S(b) = 90 × t
(a) For your friend to catch you, you both must be in the same position;
75t + 112.5 = 90t
90t -75t = 112.5
t = 112.5/15
t = 7.5hours
(b) To determine how far you both are from Ellensburg; we can either evaluate:
S(b) = 90t or S(a) = 75t + 112.5
Therefore, By evaluating S(b) = 90t.
S(b) = 90 × 7.5
S(b) = 675miles from Ellensburg.
Read more:
brainly.com/question/24234606