Aconvention center rents a meeting room for $250 per day. there is a $30 one-time fee to make a reservation.
what function equation represents the total cost to rent a meeting room for d days?
a. c(d) = 250d + 30
b. c(d) = 30d − 250
c. c(d) = 30d + 250
d. c(d) = 250d − 30

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Among the choices the function equation represents the total cost to rent a meeting room for d day is letter A which is c(d) = 250d + 30

cos 60° = 1/2 because the angles are complements

Step-by-step explanation:

Given sin 30° = 1/2, to check which of the statements is correct we will apply the Pythagoras theorem to a right angled triangle shown in the attachment.

using the SOH CAH TOA trig identity on the right angled triangle, ACD gotten from the equilateral triangle ABC;

From ΔACD, AD is the hypotenuse, DC is the opposite side to the angle 30° and AC is the adjacent.

From the diagram, sin30° = opp/hyp = DC/AD

sin30° = 1/2

Taking consideration of the acute angle 60°, the opposite side to the angle will be AC and the adjacent side will be CD.

According to CAH, cos 60° = adj/hyp = CD/AD

Given CD = 1 and AD = 2

cos60° = 1/2

This shows that sin30° = cos60° = 1/2

Note that ∠CDA and ∠DAC are angles complementary. Complementary angles are angles which have its sum to be 90°