For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

Thus, the perimeter of the figure is 64 centimeters.
Now, we find the area of the figure:
We have that by definition, the area of a rectangle is given by:

Where:
a and b are the sides of the rectangle
We have 4 vertical rectangles from left to right:

Thus, the total area is
Answer:
The perimeter of the figure is 64 centimeters.

A) A=500(1+0.015)^t
b)800=500(1.015)^t
800/500=1.015^t
t=log(800/500)/log(1.015)
t=31.6 years
Answer:
Step-by-step explanation:
The first step is to determine the areas of the inner and the bigger circles.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the inner circle,
diameter = 148.4 cm
Radius = 3 inches
Area = 3.14 × 3² = 28.26 inches²
Considering the bigger circle,
Radius = 7 inches
Area = 3.14 × 7² = 153.86 inches²
The area between the bigger and inner circles is
153.86 - 28.26 = 125.6 inches²
Probability = number of favourable outcome/number of total outcome.
the probability you land inside the bigger circle but outside smaller circle is
125.6/153.86 = 0.82
Answer:
A: (3^2)*2
B: (2^3)*3
C: 2*19
D: (3^2)*9
Step-by-step explanation:
We have:
A) 18= 3*3*2= (3^2)*2
B) 24=2*2*2*3=(2^3)*3
C) 38 = 2*19
D) 81 =3*3*9=(3^2)*9
Answer:
81.85%
Step-by-step explanation:
We have the following information:
mean = m = 52000
standard deviation = sd = 12000
a = 40000
b = 76000
we need to find the probability between a and b, that is:
P (a <x <b) = P (40,000 <x <76000)
P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]
replacing
P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]
P (-1 <z <2)
P (z <= -1) - P (z <= 2)
We look for this value of z, in the attached table:
0.9772 - 0.1587
P = 0.8185
In other words, the probability is 81.85%