Answer:
34.54
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Height (h) = 3.7 km
Base radius (r) = 3 km
We can calculate the volume of mountain by using following formula,
So, volume of cone = (1/3)πh
By putting the value in the formula, we get
= (1/3) π × × 3.7
= 11.1π
= 34.54
Hence, the volume of the mountain is 34.54 .
Answer: 2.46
Step-by-step explanation:
Formula for x-score is given by :-
, where = Sample mean ,
= population mean,
= population standard deviation, n= sample size.
As per given , n=10
= $29,056
= $3,339
= $31,650
Then,
Hence, the z-score = 2.46
Answer:
Step-by-step explanation:
From the figure attached,
If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.
Therefore, sides sides CD and GH must be equal in measures.
Distance between the two points and
is given by,
d =
Length of the side CD having ends C(-4, 4) and D(0, 5) will be,
CD =
CD =
=
Length of GH having ends G(0, -4) and H(4, -5) will be,
GH =
=
=
Therefore, m(CD) = m(GH)
Similarly, we can prove all corresponding sides of two figures equal in measure.
This shows ABCD ≅ EFGH.
Answer:
H²=h²+b²
H²=9²+3²
H²=81+9
H²=90
H=