Answer:
number of red tags = 200 - 70 - 38 = 92
Step-by-step explanation:
Jordan has a total of 200 name tag and the tags have different varieties of colors. The tags have blue, yellow and red color . Let us find the number of blue tags
number of blue tags = 35% of 200
number of blue tags = 35/100 × 200
number of blue tags = 70
The number of yellow tags = 38
The remaining number of tags are red color. Therefore the number of red tag will be the total number of tag minus the number of blue tags and the number of yellow tags.
number of red tags = 200 - 70 - 38 = 92
Given:
<span>tan(B/2) = sec(B) / (sec(B) * csc(B) + csc(B)) </span>
<span>Apply the half angle formula to convert tan(B/2) to terms of B: </span>
<span>sin(B) / (1+cos(B)) = sec(B) / (sec(B) * csc(B) + csc(B)) </span>
<span>Convert everything else to be in terms of sin and cos: </span>
<span>sin(B) / (1+cos(B) = (1/cos(B)) / ((1/cos(B)) * (1/sin(B)) + (1/sin(B))) </span>
<span>Multiply right side by "sin(B)/sin(B)" to simplify the fractions: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1/cos(B)) + 1) </span>
<span>Change "1" to cos(B)/cos(B) and then combine over </span>
<span>common denominator: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1/cos(B)) + cos(B)/cos(B)) </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1+cos(B))/cos(B)) </span>
<span>Dividing by a fraction equals multiplying by its reciprocal: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) * (cos(B) / (1+cos(B))) </span>
<span>Multiply terms on the right side (canceling cos(B) terms): </span>
<span>sin(B) / (1+cos(B) = sin(B) / (1+cos(B)) </span>
A 4by8 meter rectangle and half of a 8m circle
4*8+(16p/2)
32+8p
A=(32+8p)m^2
A=57.13 m^2 (to nearest hundredth of a m^2)
Answer:
72.225 $
Step-by-step explanation:
The price per pack: 5.00 $
When the amount of packs is > 10 :
90 % * 5 $ = 4.50 $ before tax.
The price of 15 packs:
4.50 $ * 15 = 45 + 22.5 = 67.5 $ before tax.
After tax:
107 % * 67.5 $ = 72.225 $ after tax.
