Answer:
Step-by-step explanation:
We want to find the coordinates of a certain point C(x,y) such that C divides and
in the ratio m:n=3:2
The x-coordinate is given by:
The y-coordinate is given by:
AB has coordinates A(-5,9) and B(7,- 7)
We substitute the values to get:
and
Therefore C has coordinates
The line segment that contains C is
See attachment.
In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.
Step-by-step explanation:
Given,
John wraps;
2 small boxes = 4 minutes
1 small box =
In 20 minutes,
20 minutes =
20 minutes = 10 small boxes
Hank wraps;
3 small boxes = 5 minutes
1 small box =
In 20 minutes =
In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.
Keywords: division, multiplication
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The length of the square base is thus = A
<h3>What is hemisphere?</h3>
Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.
EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.
Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.
OM/2 = 6/EP
OM = 6/EP x 2
OM =
The length of the square base is thus = A
To know more about Hemisphere, visit;
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