Answer:
b
Step-by-step explanation:
Remove full rotations of
2
π
until the angle is between
0
and
2
π
.
sin
(
5
π
6
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
sin
(
π
6
)
The exact value of
sin
(
π
6
)
is
1
2
.
1
2
The result can be shown in multiple forms.
Exact Form:
1
2
Decimal Form:
0.5
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
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IN Δ MLN:
∠M = 18.3 , ∠L = 98.6 AND ∠N = 180 - (∠M + ∠L) = 180 - (18.3 + 98.6 ) = 63.1
IN Δ FGH:
∠F = 98.6 , ∠G = 61.1 AND ∠H = 180 - (∠F + ∠G ) = 180 - (98.6 + 61.1 ) = 20.3
∴ ONLY ∠N = ∠F = 98.6
There is no other <span>congruent </span>angles
So, The correct statement is :
Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.
In slope Intercept for it is ...y=2x+3
Answer:
d. An additional month of buying and selling is associated with an additional $417 in profits.
Step-by-step explanation:
We have general form of intercept form of equation:
y = m*x + c ----- (A)
Given equation is : y = 2502 + 417*x
Rewrite equation: y = 417*x + 2502 ------(B)
comparing equation (B) with equation (A), we get
m = 417 (additional benefits per month) because multiplied factor x is the month.
