To get the equation of tangent, we need a point on it and its slope.
we already have (x1,y1) = (pi/3,2) on the tangent line.
To get the slope of tangent,
m = derivative of y at the given point.
y = sec x
y' = sec x tan x
at x = pi/3,
y' = sec pi/3 tan pi/3
y'= 2
so the slope of tangent is 2
equation will be
y -y1 = m (x-x1)
y - 2 = 2

(x- pi/3)
Thats your equation of tangent.
you can simplify if you want.
The zebra danios are longer because if they are 4/3 the lenth bigger they would be the longest.
Answer:
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Step-by-step explanation:
From the figure, it is clear that:
m∠KIH = m∠HIJ + m∠KIJ
Given
now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation
m∠KIH = m∠HIJ + m∠KIJ
68° = (2x + 6)° + (9x - 4)°
switch sides

Group like terms


Subtract 2 from both sides

Simplify

Divide both sides by 11

Simplify

Hence, the value of x = 6
Therefore,
m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°
m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Answer:
THE 1ST AND 3RD
Step-by-step explanation:
Answer:
Step-by-step explanation:
That'd be the second root of 7^3, where 3 is the exponent of the radical.