She makes 20 observations in all, because there are 5 groups with 4 students in each group. 5x4=20
Answer:
no trangles can be formed
Step-by-step explanation:
We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
sin(a) sin(b)
------------ = ------------
A B
Upon substituting the given values of angle A, and sides a and b, we get:
sin(75) sin(B)
------------ = ------------
2 3
Upon solving this equation for B, we get:
----->3sin(75)=2sin(B)
----->sin(B)=3sin(75)
-------------
2
------>sinB=1.4488
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
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Natasha's age is 81 years and Andrew's age is 31 years
Step-by-step explanation:
- Step 1: From the given details, let the age of Natasha be x, then age of Andrew is x - 50.
- Step 2: Form equations out of their details of ages 6 years ago.
⇒ x - 6 = 3(x - 50 - 6)
⇒ x - 6 = 3(x - 56)
⇒ x - 6 = 3x - 168
⇒ 2x = 162
⇒ x = 81
- Step 3: Calculate Andrew's age
x - 50 = 81 - 50 = 31
ABD: 22
DBC: 109
they are congruent angles