if Mark uses 3 3/4 tablespoons of coffee to make 10 cups of coffee, how much would he need to make one cup of coffee?
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Given that <span>DG, EG, and FG are perpendicular bisectors of the sides of △ABC, this means that the point of intersection, G, is the circumcenter of the triangle and hence A</span><span>G, BG, and CG are equal.
Given that </span><span>DG = 5 cm and BD = 12 cm, then
Since AG = BG = CG, therefore, CG = 13 cm.</span>
Given that </span><span>DG = 5 cm and BD = 12 cm, then
Since AG = BG = CG, therefore, CG = 13 cm.</span>
Answer:
Part A) The volume of the entire cone is
Part B) see the explanation
Step-by-step explanation:
Part A) we know that
The volume of a cone is equal to
where
r is the radius of the base of the cone
h is the height of the cone
In this problem triangle ABD is similar to triangle ACE
Remember that If two figures are similar, then the ratio of its corresponding sides is proportional
so
substitute the given values
solve for x
To find out the volume of the entire cone we have
substitute in the formula
Part B) How did you determine the value for x in triangle ACE
In this problem triangle ABD is similar to triangle ACE
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
substitute the given values and solve for x