Answer:
<em>P=760</em>
Step-by-step explanation:
Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.
Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).
This shape has sides that are parallel to both axes.
To calculate the perimeter we find the length of two sides.
The distance from A to B is the difference between their y-axis:
w=112-(-3)=115
The distance from A to C is the difference between their x-axis:
l=2-(-212)=215
It's evident this is not a square but a rectangle. The perimeter is
P=2w+2l=330+430
P=760
Answer:
The answer is 3418.1 ft rounded to the nearest tenth.
Step-by-step explanation:
The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.
The area of the circular base can be calculated as

where r is the radius of the circular base, which is 8 ft.
The area of the circular base is

We also know the height of the cylinder is 17 ft.
Hence, the volume of the cylinder is

This will be rounded up to 3418.1 with the nearest tenth
9514 1404 393
Answer:
- 0.5
- 0.4444444... repeating
Step-by-step explanation:
Your calculator can do this for you.
1. 2/4 = 1/2 = 5/10 = 0.5
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2. The long division immediately becomes repetitive. The decimal equivalent is repeating 4s: 0.444...
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The long division is shown in the attachments. When the remainder is the same as the initial dividend, you know the quotient will repeat.
A. Yes
B. Because the three inside angles of both triangles would be identical.
C. Set up a ratio:
121/22 = AB/30
Solve for AB:
AB = (121 * 30) / 22
AB = 3630 / 22
AB = 165 ft.
Hello! :)
Answer:

Let the smallest digit, or the units' digit, be equal to x:
Tens' digit is four more, therefore:
x + 4 represents the tens' digit.
Hundreds' digit is 2 more than the tens' digit, so:
2 + (x + 4), or x + 6 represents the hundred's digit.
These all sum up to 13, so write an expression to represent this:
x + (x + 4) + (x + 6) = 13
Combine like terms:
3x + 10 = 13
Subtract 10 from both sides:
3x = 3
Divide both sides by 3:
x = 1
Find the digits using the rules listed above:
Hundreds' digit: (1) + 6 = 7
Tenths' digit: (1) + 4 = 5
Units' digit: 1 = 1
Therefore, the number is:
751.