The shape which describe the shape of the sandbox is "A quadrilateral, because angle c and angle x are acute."
<h3>
What is Quadrilateral?</h3>
A quadrilateral is a four-sided polygon, having four edges and four corners.
Here, Diagonal = 14 ft.
Length = 12 ft.
Width = 8 ft.
14² = 196, 12² = 144, 8² = 64
8² + 12² ≠ 14²
so it is not a rectangle.
Now, 14² < 12² + 8²
this condition does not occur in rectangle, so it will be a quadrilateral and here sum of square of two adjacent side is greater than the square of third side (Diagonal). So that is an acute angle.
From this situation we can conclude that:
Thus, the shape which describe the shape of the sandbox is "A quadrilateral, because angle c and angle x are acute."
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Answer:
Sum of angles of a polygon with one side less = (12-2)x180 = 1800
Sum of angles of a polygon with one side more = (14-2)x180 = 2160
Step-by-step explanation:
(n-2)x180 = 1980
n = 13
Sum of angles of a polygon with one side less = (12-2)x180 = 1800
Sum of angles of a polygon with one side more = (14-2)x180 = 2160
Answer:
The surface area of the prism is 8/3ft²
Step-by-step explanation:
To calculate the surface area of the prism we have to use the following formula:
a = area
w = side = 2/3 ft
h = height = 2/3 ft
l = length = 2/3 ft
a = 2 * (w * h) + 2 * (w * l) + 2 * (h * l)
we replace the values that we know
v = 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft)
v = 2 * 4/9ft² + 2 * 4/9ft² + 2 * 4/9ft²
v = 8/9ft² + 8/9ft² + 8/9ft²
v = 24/9ft²
v = 8/3ft²
The surface area of the prism is 8/3ft²
Answer:
10
Step-by-step explanation:
you divide 5 and 50
Answer:
x = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
17 - (3x + 5) = 3x - 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute negative: 17 - 3x - 5 = 3x - 6
- Add 3x on both sides: 17 - 5 = 6x - 6
- Combine like terms: 12 = 6x - 6
- Isolate <em>x</em> term: 18 = 6x
- Isolate <em>x</em>: 3 = x
- Rewrite: x = 3
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 17 - (3(3) + 5) = 3(3) - 6
- Multiply: 17 - (9 + 5) = 9 - 6
- Add: 17 - 14 = 9 - 6
- Subtract: 3 = 3
Here we see that 3 does indeed equal 3.
∴ x = 3 is the solution to the equation.
