Answer:
20 bags should have 30 pieces in them.
Step-by-step explanation:
five out of ten is 1/2
then 1/2 of 40 is 20
therefore there should be twenty bags with 30 pices each.
Answer:
Actually it's not polygon. it's a nonagon. With r=8.65mm″, the law of cosines gives us side a:
a=√{b²+c²−2bc×cos40°}
a=√{149.645−149.645cos40°}
Area Nonagon = (9/4)a²cos40°
=9/4[149.645−149.645cos40°]cot20°
=336.70125[1−cos(40°)]cot(20°)
Applying an identity for the cos(40°) does not get us very far…
= 336.70125[1−(cos2(20°)−1)]cot(20°)
= 336.70125[2−cos2(20°)]cot(20°)
= 336.70125[2−(1−sin2(20°))]cot(20°)
= 336.70125[1+sin2(20°)]cos(20°)sin(20°)
= 336.70125[cot(20°)+sin(20°)cos(20°)]mm²
22% of those surveyed liked neither pop nor rap music.
Step-by-step explanation:
It is given that,
The 11th grade class at Red Hook high school was surveyed about the types of music they liked.
- Pop music ⇒ 64%
- Rap music ⇒ 52%
- Both pop and rap music ⇒ 38%
We know that, the total survey is 100%.
<u>To find the percent of those surveyed liked neither of the music :</u>
Let x be the percentage of those liked neither pop or rap music.
The formula used here is ,
Total = Pop + rap - Both + neither.
⇒ 100% = 64% + 52% - 38% + x
⇒ 100% = 78% + x
⇒ 100% - 78% = x
⇒ x = 22%
Therefore, 22% of those surveyed liked neither pop nor rap music.
