Lianne has some dimes and nickels with a total value of $4.60. The number of dimes she has is 4 more than 3 times the number of
1 answer:
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Answer:
1.)
The Venn diagram is in the attachment
2).
percentage of the population that owns only television== 16%
Step-by-step explanation:
The Venn diagram Is represented in the attached photo.
Let's call The total people x
X = people that own only television+ people that own only radio+ people that own both television and radio+ people that own neither the two.
X= (0.68x -y) +(y) +(0.72x-y)+(0.12x)
X= 0.68x-y+y+0.72x-y+0.12x
X= 1.52x-y
Y= 1.52x-x
Y= 0.52x
People that own both= 52%
people that own only television
= (0.68x -y)
= 0.68x-0.52x
= 0.16x
percentage of the population that owns only television= 0.16*100
percentage of the population that owns only television= 16%
Answer:
Area(A)=Area(C)=
Area(B)=
Step-by-step explanation:
We begin with finding the angles a and b that from the drawing attached you can see that a=b.
Now, the sum of the internal angles of a rhomboid is equal to 360 degrees, with that we have:
120+120+a+b=360
240+2a=360
2a=120
a=60=b
Next, in the image you can see that the lines coming from the angle at the top 120 degrees vertex, divide the opposite sides by half, thus making two triangles with one side of 6 in and another of 3 in.
We can say from the drawing as well:
Area(A)+Area(B)+Area(C)=Area(rhomboid)
But, we can also say that Area(A)=Area(C)
So, starting with Area(A)
Area(A)=Area(triangle)==
=
We can then calculate the area B, a rhomboid, or better, take the Total area of the figure and subtract the area of the two triangles.
Area(B)=Area(rhomboid)-Area(A)-Area(C)
Area(rhomboid)=b*h where b=6in and h is the perpendicular distance from the base to the top.
The 30 degrees come from: 120-30-60=30, since the latitudes split the 120 angle in two equal parts and one that is the half of the obtuse angle.
Area(rhomboid)=5.20*6=
Area(B)=Area(rhomboid)-Area(A)-Area(C)=-
-
=
