Answer:
Area of the trapezium ABDE = 30 cm²
Step-by-step explanation:
Area of a trapezium = 
Here,
and
are the parallel sides of the trapezium
h = Distance between the parallel sides
From the picture attached,
ΔCAE and ΔCBD are the similar triangles.
So by the property of similarity their sides will be proportional.


CE = 
CE = 12 cm
Therefore, DE = CE - CD
DE = 12 - 8 = 4 cm
Now area of trapezium ABDE = 
= 
= 30 cm²
Therefore, area of the trapezium ABDE = 30 cm²
If you are finding the sample space see if it is biased or not. and if it population then find the experimental or theoretical.
Answer:
x = 2.3202
Step-by-step explanation:
Given equation:

on taking log both sides, we get

now,
using the property of log function
log(aᵇ) = b × log(a)
therefore,
we get
(3x-5)log(10) = xlog(7)
now,
log(10) = 1
and
log(7) = 0.84509
thus,
( 3x - 5 ) × 1 = 0.84509x
or
3x - 0.84509x - 5 = 0
or
2.15491x = 5
or
x = 2.3202
Answer:
B = (C-Ax)/y
Step-by-step explanation:
Solve for B.
Ax+By=C
making B the subject of formula '
Ax+By=C
subtract Ax from both sides
By = C-Ax
By = C-Ax
divide both sides by y
B = (C-Ax)/y
Answer:
Given: Diameter of cone = 38 feet and height of cone = 14 feet.
Volume of cone V with radius r is one-third the area of the base B times the height h.
i,e
=
......[1]
,where B = 
First find the radius(r);
Using Diameter(D) = 2r
38 =2r
Divide both side by 2 we get;

Simplify:
19 = r
or r =19 feet
Now, substitute the value of r = 19 feet and h = 14 feet in [1] [ Use value of
]
then, we have:

or
V = 
or
V =
≈ 5,294.67 cubic feet.
therefore, the volume of pile is; ≈ 5,294.67 cubic feet.