An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is
2 answers:
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Answer:
B (2, 4)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the constant of proportionality k is given and is equal to
so
The linear equation is given by
That means ----> the y-coordinate is two times the x-coordinate
therefore
The other point is B(2.4)
Because
For x=2, y=4
the y-coordinate is two times the x-coordinate
Refer to the image attached.
Given: Altitude AC = 9 cm, Diagonal AD = 15 cm, side AB = 82 cm.
To find: Area of parallelogram
Solution:
Since, area of parallelogram = base height
=
We have to determine the base BD.
Consider the triangle ABC,
by Pythagoras theorem,
BC = 81.5 cm
Now, Consider the triangle ACD,
by Pythagoras theorem,
CD = 12 cm
Now, base BD = BC + CD
= 81.5+12
= 93.5 cm
Area of parallelogram = BD
= 93.5 x 9
= 841.5 square centimeters.
Therefore, the area of parallelogram is 841.5 square centimeters.
