Find the number of distinct triangles with c=3, b=5 and B=85 degrees
2 answers:
Answer:
Number of distinct triangles = 1
Step-by-step explanation:
We have sine rule .
Here given c=3, b=5 and B=85 degrees
Substituting
We also have
A+B+C = 180°
A+85+36.71 = 180
A = 58.29°
Substituting in sine rule.
Triangle is given by
a = 4.27, b= 5 , c= 3, A = 58.29°, B= 85° and C = 36.71°.
Only this combination is possible.
Number of distinct triangles = 1
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Answer:
Option (a) is correct.
Step-by-step explanation:
Given : equation 2x + 3y ≤ 6
We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6
Consider the given equation 2x + 3y ≤ 6
We first find the points where the equation cut x- axis and y-axis.
Thus,
For x - axis put y = 0 ,
We get 2x + 3(0) ≤ 6 ⇒ 2x ≤ 6 ⇒ x ≤ 3
Thus, point (3,0)
For y - axis put x = 0 ,
We get 2(0) + 3y ≤ 6 ⇒ 3y ≤ 6 ⇒ y ≤ 2
Thus, point (0,2)
For region we choose a test point and find the value of x and y on that test point and check whether it satisfy the inequality satisfies or not.
Consider the point (0, 0) , then inequality becomes,
2(0) + 3(0) ≤ 6 ⇒ 0 ≤ 6 (true)
Hence, region below the line will be considered.
Thus, Option (a) is correct.
