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
Step-by-step explanation:
1) r+28=180( being linear pair angle)
r=180-28
r=152
2) a= 110( being vertically opposite angle)
Answer:
x=4 or x= - 16
Step-by-step explanation:
|x+6|
Now subtract 7 which equals to 3.
|x+6|-7=3
|x+6|=10
Now remove the mode by adding plus minus sign in the front of 10.
x+6=±10
x+6=10 or x+6=-10
x=4 or x=-16
<h3>
Answer:</h3>
x² -6x = -13 ⇒ x ∈ {3-2i, 2+2i}
<h3>
Step-by-step explanation:</h3>
To make a=1, divide the equation by the coefficient of x², which is 8.
... x² -6x = -13 . . . . . . your blanks are filled with -6 and -13
Now, to complete the square, add the square of half the x-coefficient:
... (-6/2)² = 9.
... x² -6x +9 = -4 . . . 9 added to both sides
... (x -3)² = -4 . . . . . rewrite as a square
... x -3 = ±2i . . . . . . take the square root
... x = 3 ±2i . . . . . . . add 3
The solutions are the complex numbers x = 3 ±2i.
Answer:
or 
Step-by-step explanation:
3/5 actually can't be simplified, so it will stay as
The decimal form is
