Answer:
x = 114°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus
x + 18° = 132° ( subtract 18° from both sides )
x = 114°
Answer:
Step-by-step explanation:
From the previous answers you know the angles and side lengths of the triangle:
α = 60°
Ф = 30°
and the side lengths:
1,2 and √3.
Remember:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
Now you can read off from the triangle:
sin 30° = 1/2
cos 60° = 1/2
sin 60° = √3/2
cos 30° = √3/2
tan 30° = 1/√3
tan 60° = √3
Answer:
Total number of fields of vegetables = 62
Step-by-step explanation:
Answer: c) 
.
Step-by-step explanation:
Mean value theorem : If f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that
Given function : 
Interval : [0,3]
Then, by the mean value theorem, there is at least one number c in the interval (0,3) such that
Since 
then, at x=c, 
From (i) and (ii), we have
Hence, the correct option is c) .
Answer:
7
Step-by-step explanation:
[(1/3 – 1/9)² + (1/3)³] : (1/3)⁴
Next, we shall simplify (1/3 – 1/9)². This is illustrated below:
(1/3 – 1/9)² = ((3 – 1)/9)² = (2/9)²
[(1/3 – 1/9)² + (1/3)³] : (1/3)⁴
= [(2/9)² + (1/3)³] : (1/3)⁴
= [4/81 + 1/27] : 1/81
= [(4 + 3)/81 ] : 1/81
= 7/81 : 1/81
= 7/81 ÷ 1/81
Invert
= 7/81 × 81/1
= 7
