9514 1404 393
Answer:
3433 m^2
Step-by-step explanation:
The total surface area is the sum of the end areas and the lateral area.
The end areas together are a circle of diameter 0.4 m and two rectangles that are 0.4 m by 0.55 m.
End areas = πr^2 + 2LW = 3.14(0.2 m)^2 + 2(0.4 m)(0.55 m)
= 0.1256 m^2 +0.44 m^2 = 0.5656 m^2
The perimeter of the end piece is half the circumference of a 0.4 m circle and three sides of a 0.4 m by 0.55 m rectangle.
P = (1/2)πd + 2L +W = 1/2·3.14·0.4 m + 2(0.55 m) + 0.4 m = 2.128 m
The lateral area of the mailbox is the product of its length and the perimeter of the end piece:
LA = PL = (2.128 m)(0.6 m) = 1.2768 m^2
Then the total surface area of the mailbox is ...
0.5656 m^2 + 1.2768 m^2 = 1.8424 m^2
__
The area of aluminum required for 1863 mailboxes is ...
1863 × 1.8424 m^2 ≈ 3433 m^2
About 3433 square meters of aluminum are needed to make these mailboxes.
1. -100 is the correct answer
2. true. the absolute value of a positive number is always positive
Answer:
Step-by-step explanation:
<u>Properties of Logarithms</u>
We'll recall below the basic properties of logarithms:
Logarithm of the base:
Product rule:
Division rule:
Power rule:
Change of base:
Simplifying logarithms often requires the application of one or more of the above properties.
Simplify
Factoring 
.
Applying the power rule:
Since
Applying the power rule:
Applying the logarithm of the base:
First, let us write the place values of 4 in A and B.
In A, the number is 16.942 and the place value of 4 is 0.04.
In B, the number is 9.214 and the place value of 4 is 0.004.
It is clear that 0.04 > 0.004.
Hence, statement C best compares the value of 4 in each number.
