The value of -7² is less than zero which is the correct answer would be an option (D)
<h3>What is the fraction?</h3>
A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
<h3>What are Arithmetic operations?</h3>
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
To determine the value is less than zero
Option A: (-6)² ⇒ 36
So this value is greater than zero
Option B: 1/3 × 2 ⇒ 2/3
So this value is greater than zero
Option C: 0.5² ⇒ 0.25
So this value is greater than zero
Option D: -7² ⇒ -49
So this value is less than zero
Learn more about the fraction here:
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12 rows of 2 also model a product of 24; 2 × 12 = 24; 12 × 2 = 24. Use<span> Two-Color Counters to build each model. </span>Write number sentences<span> that show the </span>Commutative Property of Multiplication<span>. </span>Using<span> Two-Color Counters, model the </span>Commutative Property of Multiplication<span> for each pair of factors.</span>
The answer is: 3.91 inches .
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Note: Volume of cylinder: V = (base area) * (height);
in which: V = volume = 384 in.³ ;
h = height = 8 in. ;
Base area = area of the base (that is; "circle") = π r² ;
in which; "r" = radius;
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Solve for "r" :
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V = π r² * (8 in.) ;
384 in.³ = (8 in.) * (π r²) ;
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Divide EACH SIDE of the equation by "8" ;
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(384 in.³) / 8 = [ (8 in.) * (π r²) in.] / 8 ;
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to get:
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48 in.³ = (π r²) in.² * in. ;
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↔ (π r²) in.² * in. = 48 in.³ ;
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Rewrite this equation; using "3.14" as an approximation for: π ;
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(3.14 * r²) in.² * in. = 48 in.³
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Divide EACH SIDE of the equation by:
"[(3.14)*(in.²)*(in.)]" ; to isolate "r² " on one side of the equation;
(since we want to solve for "r") ;
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→ [(3.14 * r²) in.² * in.] / [(3.14)*(in.²)*(in.)] = 48 in.³ / [(3.14)*(in.²)*(in.)] ;
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→ to get: r² = 48/3.14 ;
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→ r² = 15.2866242038216561 ;
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To solve for "r" (the radius; take the "positive square root" of EACH side of the equation:
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→ +√(r²) = +√(15.2866242038216561)
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→ r = 3.9098112747064475286 ; round to 3.91 inches .
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Notice that x is part of the two triangles.for the bigger triangle
92+85+x=180
177+x=180
x=3
in the smaller triangle
y+100+x=180
since x=3
y+100+3=180
y=77
