Answer:
2 Triangles can be made with the given measurements
Step-by-step explanation:
Start by solving for side b
b = 9/sin33 = appr 16.5
9<15<16.5 there are two possible triangles
sin33/15 = sinB/16.5 = sinB=(16.5sin33)/15
B=36.9, 180-36.9=143.1 Next determine if the angles are correct
36.9+33=69.9 143.1+33=176.1 Both of these are less than 180, two triangles can be drawn.
Answer:
x = √30
Step-by-step explanation:
For an equilateral triangle, the measure of the angle at each vertex is 60 degrees
Thus, the angle 60 faces the side measure x
Also, the given length is adjacent to the angle 60 measure
Mathematically, the trigonometric ratio that links the adjacent and the opposite is the tan
The tan is the ratio of the opposite to the adjacent
Thus;
Tan 60 = x/ root 10
x = root 10 * tan 60
x √(10 * √(3
x = √30
R/B = 1/4
<span>R = 4B </span>
<span>For every red, there are 4 blues </span>
<span>Let there be x reds and 4x blues (5x counters in all) </span>
<span>P(red,red) = (x/5x)((x-1)/(5x-1)) = 6/155 </span>
<span>(155)x(x-1) = (6)5x(5x-1) </span>
<span>155x^2-155x = 150x^2-30x </span>
<span>5x^2-125x = 0 </span>
<span>5x=125 </span>
<span>x= 25 reds
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