The lateral area would be 298.7 cm².
The lateral area is the area of all of the lateral faces of the pyramid. There are 8 triangles making up the lateral faces. Each has a base of 6.6. The formula for the area of a triangle is
A=1/2bh,
so we still need the height of the triangle.
The height of each lateral triangle is the slant height of the pyramid. The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid. Thus we use the Pythagorean theorem:
8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h
Substituting this into our area formula we have:
A=1/2(6.6)(8√2)
We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7
Answer:
19
Step-by-step explanation:
5x8 is 40
59-40 is 19
Solution:
Given :
.............(1)
where, B = aP = birth rate
D = 
= death rate
Now initial population at t = 0, we have
= 220 , 
= 9 , 
= 15
Now equation (1) can be written as :
.................(2)
Now this equation is similar to the logistic differential equation which is ,
where M = limiting population / carrying capacity
This gives us M = a/b
Now we can find the value of a and b at t=0 and substitute for M
and 
So, 
= 
= 132
Now from equation (2), we get the constants
k = b = 
= 
The population P(t) from logistic equation is calculated by :
As per question, P(t) = 110% of M
Now taking natural logs on both the sides we get
t = 36.216
Number of months = 36.216
Answer:
Jose: 1
Jamal: -1
Step-by-step explanation:
Divide the standard deviations by that age group by their ages
Answer:(
x
2
−
y
)
(
x
4
+
x
2
y
+
y
2
)
Step-by-step explanation:
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
2
and
b
=
y
.
(
x
2
−
y
)
(
(
x
2
)
2
+
x
2
y
+
y
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)
Multiply the exponents in
(
x
2
)
2
.
