Answer:
<h2>cos 60° = 1/2 because the angles are complements</h2>
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°
Answer: after 2 monthly price reductions
Step-by-step explanation:
Given that :
Wholesale cost = $20 each
Markup = 50%
Selling price = $20 + (50% * 20) = $30
After each month selling price reduces by 20%;
Dip in price per month for which item didn't sell ;
Let m = Number of months
$30 - 0.2(30)m = $30 - 6m
After how many monthly price reductions did the price dip below the wholesale cost?
$30 - 6m < $20
-6m < $20 - $30
-6m < - $10
m > 10/6
m > 1.667
m = 2
After 2 monthly price reduction
Step-by-step explanation:
the answer is x=27 sjsisjxjxndnsnaia
Answer:
12 boys, 36 girls
Step-by-step explanation:
We can use systems of equations to solve this using substitution.
Let b = # of boys in the class
Let g = # of girls in the class
b + g = 48
g=3b
b+(3b)=48
4b=48
b=12
12*3=36
Check:
36+12=48