Answer:
Step-by-step explanation:
we know that
If the triangle of the figure is a regular polygon
then
Is an equilateral triangle
Remember that
The equilateral triangle has three equal sides and three equal interior angles
The measure of each interior angle is 60 degrees
To find the area of the equilateral triangle apply the law of sines
we have that
substitute
Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is . In particular, the value we are looking for is
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to .
Given:
m∠NRQ = 60°
To find:
The angle measure of minor arc NQ
Solution:
The inscribed angle is half of the intercepted arc.
Multiply by 2 on both sides.
Substitute m∠NRQ = 60°.
The measure of minor arc NQ is 120°.