I use the sin rule to find the area
A=(1/2)a*b*sin(∡ab)
1) A=(1/2)*(AB)*(BC)*sin(∡B)
sin(∡B)=[2*A]/[(AB)*(BC)]
we know that
A=5√3
BC=4
AB=5
then
sin(∡B)=[2*5√3]/[(5)*(4)]=10√3/20=√3/2
(∡B)=arc sin (√3/2)= 60°
now i use the the Law of Cosines
c2 = a2 + b2 − 2ab cos(C)
AC²=AB²+BC²-2AB*BC*cos (∡B)
AC²=5²+4²-2*(5)*(4)*cos (60)----------- > 25+16-40*(1/2)=21
AC=√21= 4.58 cms
the answer part 1) is 4.58 cms
2) we know that
a/sinA=b/sin B=c/sinC
and
∡K=α
∡M=β
ME=b
then
b/sin(α)=KE/sin(β)=KM/sin(180-(α+β))
KE=b*sin(β)/sin(α)
A=(1/2)*(ME)*(KE)*sin(180-(α+β))
sin(180-(α+β))=sin(α+β)
A=(1/2)*(b)*(b*sin(β)/sin(α))*sin(α+β)=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)
A=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)
KE/sin(β)=KM/sin(180-(α+β))
KM=(KE/sin(β))*sin(180-(α+β))--------- > KM=(KE/sin(β))*sin(α+β)
the answers part 2) areside KE=b*sin(β)/sin(α)side KM=(KE/sin(β))*sin(α+β)Area A=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)
Circle graphs or pie charts are used to represent data in percentages or proportions
- 192 voted for Goron
- 288 voted for Smith or Fishman
<h3>People that voted for Goron</h3>
The total number of votes is given as:
Total = 640
The circle chart is not given.
So, we make use of an assumed value
Assume 30% voted for Goron
The number of people would be:
Goron = 30% * 640
Evaluate
Goron = 192
Hence, 192 voted for Goron using the assumed value
<h3>People that voted for Smith or Fishman</h3>
Assume 45% voted for Smith or Fishman
The number of people would be:
Smith or Fishman = 45% * 640
Evaluate
Smith or Fishman = 288
Hence, 288 voted for Smith or Fishman using the assumed value
Read more about circle graphs at:
brainly.com/question/24461724
Answer:
18 books done and 6 books left
Step-by-step explanation:
24 *3/4 = 18
The answer is -41
You can graph them and see where the line passes on the y-axis which is the vertical axis
