Question: Find the ratio of the width to the length of the rectangular swimming pool sketched below. Width=5.5 yards | Length=7.
1 answer:
You might be interested in
ANSWER
The orthocenter is
<u>EXPLANATION</u>
The orthocenter is the point of intersection of all the altitudes of a triangle.
If it is a right angle triangle then the orthocenter is the point at which the <em>right angle is made.</em>
If it is not a right angle triangle, then you have to find the equations of any two of the altitudes and solve simultaneously.
So you must first check to see if it is a right angle triangle that way you do not have to do bunch work.
The given triangle has vertices ,
, and
.
Since the denominator is zero, the slope is undefined.
If the slope of a straight line is undefined, then that line is <em>parallel to the y-axis</em>. In other words, it is a <em>vertical line</em>.
if a straight line has a slope of zero, that line is parallel to the <em>x-axis</em> or it is <em>horizontal.</em>
From the slopes we can see that side KL of the triangle is horizontal and side JK is vertical. This two sides will meet at right angles at K.
See graph.
Therefore the coordinates of K, is the orthocenter of the given triangle.
Answer:
1279.3 cubic inches (Rounded to the nearest tenth)
Step-by-step explanation:
Side of a cubic box = 12 inches
volume of cubic box = (since side is equal to 12 inches)
= = 1,728 cubic inches
It means that box can be filled with 1,728 cubic inches of any material
____________________________________________________
But, it is given that it has one basketball placed in it.
hence we need to find the volume of basketball .
Since basket ball is spherical in shape
formula to calculate its volume will be same as that of formula to calculate volume of sphere
volume of sphere = where r is the radius of sphere
radius of basketball = diameter/2 = 9.5/2 in = 4.75 inches
therefore volume of basket ball is given by
volume of basketball =
___________________________________________
In box with volume 1,728 cubic inches,, 448.693 cubic inches is occupied by basketball.
It means rest is empty which can be filled with foam.
To calculate the empty space, we subtract volume of basket ball from volume of box
volume of empty space = volume of box - volume of basket
= 1728 - 448.693 = 1279.307 cubic inches
1279.307 cubic inches in nearest tenth will be 1279.3 cubic inches.
Hence, 1279.3 cubic inches of foam are needed to fill the rest of the box