Answer:
B
Step-by-step explanation:
Using the Sine Rule in ΔABC
=
= 
∠C = 180° - (82 + 58)° = 180° - 140° = 40°
Completing values in the above formula gives
=
= 
We require a pair of ratios which contain b and 3 known quantities, that is
= 
OR
=
→ B
Answer:
The graph of f has an inflection point at x = 0.
Step-by-step explanation:
An inflection point occurs when the second derivative changes signs. Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.
Answer:
Solution in photo
Step-by-step explanation:
Given:
The expression is
.
To find:
The position of parentheses inserted in the expression to get the value 19
Step-by-step explanation:
We have,

Now,




There are more ways to apply the parenthesis, but we do not get 19.



And many more possibilities.
Therefore, the expression after inserting the parentheses is
.
Answer:
$280
Step-by-step explanation:
According to the problem, calculation of the given data are as follows:
Principal amount (P) = $1,000
Rate of interest (r) = 7%
Time period (t) = 4 years
Here we use simple interest formula to calculate interest after 4 years.
I = P × r × t
By putting the value, we get
I = $1,000 × 7% × 4
= $70 × 4
= $280