Answer:
98 yd²
Step-by-step explanation:
From the diagram attached, The polygon is a square with the distance from the edge of the square to the center of the square = 7 yd.
The distance from the edge of the square to the center of the square is half of the diagonal. Therefore length of the diagonal = (7 yd * 2) = 14 yd
The diagonal and two sides of the triangle form a right angle triangle. Let the side of the triangle be a. Therefore the hypotenuse is the diagonal, using Pythagoras theorem:
a² + a² = 14²
2a² = 196
a² = 98
a = √98 = 7√2
The length of the side of the triangle = a = 7√2 yd
The area of the rectangle = length × length = 7√2 × 7√2 = 98 yd²
Answer:
20.20
Step-by-step explanation:
She read nine chapters each hour
First part is the graph
Second part:
2(x-1)
2x-2
Third part:
f(x) → g(x)
To find the transformation compare the function to the parent function and check to see if there is a horizontal or vertical shift reflection about the x-axis or y-axis and if there is a vertical stretch.
f(x)→h(x)
I shifted down one unit
f(x)→d(x)
shifted right 1/2 and then up two
I hope this helps!!!!!!!!
<em>Answer,</em>
<em><u>X = 3/4</u></em>
<em>Explanation,</em>
<u><em>Step 1: Simplify both sides of the equation.</em></u>
<em>3.25 + 0.5x + (1)(1)/3 + 5/6x = (5)(11)/12</em>
<em>3.25 + 0.5x + 1/3 + 5/6x = 55/12</em>
<em>(</em><em>0.5x + 5/6x</em><em>) + (</em><u><em>3.25 + 1/3</em></u><em>) = 55/12 (Combine Like Terms)</em>
<em>4/3x + 3.583333 = 55/12 </em>
<em>4/3x + 3.583333 = 55/12</em>
<u><em>Step 2: Subtract </em></u><u><em>3.583333</em></u><u><em> from both sides.</em></u>
<em>4/3x + 3.583333 − 3.583333 = 55/12 − 3.583333 </em>
<em>4/3x = 1</em>
<u><em>Step 3: Multiply both sides by </em></u><u><em>3/4.</em></u><u><em> </em></u>
<em>(3/4) * (4/3x) = (3/4) * (1)</em>
<em>x = 3/4</em>