Answer:
15
Step-by-step explanation:
Let the left side of the triangle be 2Y for the bigger triangle and then the smaller one will be Y.
Comparing the two triangle
2Y/Y = 30/X
2 = 30/X
Cross multiple
2X = 30
Dividing by 2
X = 30/2
X = 15
maybe: Mean
=
2.22
Median =
2
Mode =
1
and
3
Explanation:
Mean:
¯
x
=
1
+
2
+
1
+
2
+
1
+
3
+
3
+
4
+
3
9
=
20
9
=
2.22
Median: First we put the numbers in order from lowest to highest:
1
,
1
,
1
,
2
,
2
,
3
,
3
,
3
,
4
The median is the number that has the central position.
Median
=
2
Mode: it is the number that appears the most times. In this case, both
1
and
3
appear the same number of times, so they are both modes.
hope this helps!
Volume of the pyramid:
Perimeter of the cross-section:
Area of the cross-section:
First derivative test:
Then the height of the cross-section/pyramid is
The volume of the pyramid that maximizes the cross-sectional area 
is
Hello :
f(x) = <span>√(0.5x-10) +3
</span>inequality can be used to find the domain of f(x) is : 0.5x-10 <span>≥ 0
</span>0.5x ≥10
x ≥10/0.5
x ≥ 20
the domain of f(x) is : D = <span>[</span><span>20 ; + ∞[ </span>
First, find the area of the larger sector (the 360-130=230 degree sector), then add the area of the triangle.
area of the larger sector:(230/360)π*11.1²≈247.17
area of the triangle when two sides and the angle between the two sides are given: (absinФ)/2. In this case, a=11.1, b=11.1, Ф=130
(11.1*11.1*sin130)/2≈47.19
the total area is 247.17+47.19≈294.4
Please use your calculator to double check my numbers.
