11 feet = 132 inches
The boards are x, x and (x-3) inches long.
x + x + x -3 = 132
3x = 135
x = 45
The boards are 45 inches, 45 inches and 42 inches long.
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.
The resulting equation of that step is the square root of (x + 2)² is (x + 2).
<h3>What is the square root function?</h3>
A square root function is defined as a one-to-one function that takes a positive number as an input and returns the square root of the given input number.
From there, it was pretty easy for Theo to find the solutions
to the original equation.
If (x + 2) = +2 , then x = 0 .
If (x + 2) = -2 , then x = -4
Hence, the resulting equation of that step is the square root of (x + 2)² is (x + 2).
To know more about the square root function click the link given below.
brainly.com/question/4480283
Answer:
Mrs Chauke's annual income= $384480
Step-by-step explanation:
Mrs Chauke earns 32040 every month and we need to find the annual income which is how much she earns in a year. 12 months in a year, so
12 times 32040 is 384480