Answer:
10.75
11
Step-by-step explanation:
the mean is the average, so add up all of the values and divide by 8 because there are 8 values :
(11 + 17 + 14 + 11 + 4 + 7 + 11 + 11)/8 = 10.75
the median is the middle value when the numbers are written in ascending or descending order :
4, 7, 11, 11, 11, 11, 14, 17
we can cross out the values on the ends, to get to the middle. if we do this, we are left with 11, 11
find the average of these numbers :
which is 11.
<span> By definition, the volume of a cone is given by:
</span>
<span> Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
</span>
<span> Where,
d: diameter of the circular base.
Substituting values we have:
</span>
<span>
Then, the volume will be:
</span>
<span>
Answer:
The volume of the cone is given by:
</span>
<span>
</span>
Answer:
Length = 12 inches, height = 3 inches
Step-by-step explanation:
First, you have to set up a proportion. 2/7, x/42.
Then, you cross multiply and get the setup of 84=7x
Finally, you divide 84 by 7 and get 12.
12 is the length, and there is no other answer that has 12 in the height. You could just do the same proportion to get 3, though.
Answer:
see explanation
Step-by-step explanation:
(1)
Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then
∠ E = = = 37°
(2)
Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then
12y = 60 ( divide both sides by 12 )
y = 5
(3)
The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then
KL = JL , that is
4t - 8 = 2t + 1 ( subtract 2t from both sides )
2t - 8 = 1 ( add 8 to both sides )
2t = 9 ( divide both sides by 2 )
t = 4.5
(4)
Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is
AB = AC
4x + 1 = 9 ( subtract 1 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Then
perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9
= 6x + 13
= 6(2) + 13
= 12 + 13
= 25