Answer:
2123.992in^2
Step-by-step explanation:
Area of the pizza can be determined using the expression below
Area= (π d^2)/4
Given,
Diameter=52-inch
If we substitute we have
Area= [ π × (52)^2 ]/4
=8495.968/4
=2123.992in^2
Hence, the area of the pizza to the nearest square inch is 2123.992in^2
The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.
<h3>How to graph an inequality?</h3>
The steps to graph an inequality equation are:
- Solve for the variable y in the given equation
- Graph the boundary line for the inequality
- Shade the region that satisfies the inequality.
<h3>Calculation:</h3>
The given inequality is y < x² + 1
Finding points to graph the boundary line by taking y = x² + 1:
When x = -2,
y = (-2)² + 1 = 4 + 1 = 5
⇒ (-2, 5)
When x = -1,
y = (-1)² + 1 = 2
⇒ (-1, 2)
When x = 0,
y = (0)² + 1 = 1
⇒ (0, 1)
When x = 1,
y = (1)² + 1 = 2
⇒ (1, 2)
When x = 2,
y = (2)² + 1 = 5
⇒ (2, 5)
Plotting these points in the graph forms an upward-facing parabola.
So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.
From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".
Learn more about graphing inequalities here:
brainly.com/question/371134
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Answer:
a. 12(Nm)
b. anticlockwise
Step-by-step explanation:
Moment = force applied * distance
Answer:
x = -35
Step-by-step explanation:
add 3 to both sides.
x - 3 + 3 = -17 + 3
x = -14
multiply both sides by .
() · (x) = () · (-14)
x = -35
Answer:
13.30
Step-by-step explanation:
$79.80 / 6 hours = $13.30