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The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
Expand the expression
Factorize the above expression
Factor out 2t - 5 in the 2t - 5
Split the equation into 2
Rewrite as:
Solve for t
The value of t cannot be less than 0 i.e. negative.
So, we have
Divide 5 by 2
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
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)=-
-
=
