at a school Fair 70% of the people are under 16 years old one third of the people remaining are teachers if there are 21 teacher
1 answer:
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Answer:
Step-by-step explanation:
The volume of a pyramid is:
where is the area of the base and
is the height (the perpendicular measurement between base and highest point, not the slant height)
Since the base is a square, the area is given by:
where is the length of the side:
, thus:
Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.
In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.
Using pythagoras:
substituting our values, and indicating that leg 1 is height h:
and solving for the height:
and finally we calculate the volume using this height and the area of the base:
rounding to the nearest cubic inch:
Given:
In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).
To find:
The equation that represents a line that contain CD.
Solution:
We have,
A(-4,0) and B(0,3)
Slope of AB is
The slope of line AB is .
Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.
In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.
Slope of line AB = Slope of line CD =
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
Slope of line CD is , it means the line must be of the form
Coefficient of x is only in option a.
Therefore, the correct option is a.