Answer:
21,600
Step-by-step explanation:
Answer:
We know
sin (A + B) = sin A cos B + cos A sin B
sin (A - B) = sin A cos B - cos A sin B
(A + B) + sin (A - B)
= sin A cos B + cos A sin B + sin A cos B - cos A sin B
= sin A cos B + sin A cos B
= 2 sin A cos B
The correct answer is: [B]: "4 " .
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Explanation:
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Refer to the table (provided within the actual question).
Note that the "inputs" ; or "x-values" ; are all listed in "chronological order" ; and are all "one (1) unit apart. and range from: "x = -3" to "x = 3" .
When "x = 0" ; the "output" ; or "f(x)" is "1/4" .
When "x = 1" ; the "output" ; or "f(x)" is: "1" .
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So; the ratio of these two "outputs" is: "¼ : 1" ; or, write as:
" (¼) / 1 " ; and note that: " (¼) / 1 = (¼) ÷ 1 = ¼.
However; note that: "1/4" ; or "1:4" is NOT among the [answer choices given].
However, the ratio of the 2 (two) corresponding "outputs"; chronologically,
going from when "x = 1" ; to "x = 0" ; is: "1 : ¼" ; or; write as: "1 / (¼)" ;
And note that: "1 / (¼)" = " 1 ÷ (¼) " = 1 * (4/1) = 1 * 4 = "4" .
This corresponds to: Answer choice: [B]: "4<span>" .
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Let us further confirm that this answer is correct:
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When x = 3; the "output" is: "16" .
When x = 2; the "output" is: "4" .
The ratio: "16/4 = ? 4 ? " ; → Yes!
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When x = 2; the "output" is: "4" .
When x = 1; the "output" is: "1" .
The ratio: "4/1 = ? 4 ? " ; → Yes!
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When x = 1; the "output" is: "1" .
When x = 0; the "output" is: "(¼)" .
The ratio: "1 / (¼) = ? 4 ? " ;
→ "1 / (¼)" = " 1 ÷ (¼) " = 1 * (4/1) = 1 * 4 = "4" . YES!
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When x = 0; the "output" is: "(¼)" .
When x = -1; the "output" is: "(¹/₁₆)" .
The ratio: "(¼) / (¹/₁₆) = ? 4 " ? ;
→ "(¼) / (¹/₁₆) = "(¼) ÷ (¹/₁₆) " = "(¼) * (¹⁶/₁) = (1*16) / (4*1) = 16/4 = "4" . Yes!
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When x = -1; the "output" is: "(¹/₁₆)" .
When x = -2; the "output" is: "(¹/₆₄)" .
The ratio: "(¹/₁₆) / (¹/₆₄) = ? 4 " ? ;
→ "(¹/₁₆) / (¹/₆₄) = "(¹/₁₆) ÷ (¹/₆₄)" = "(¹/₁₆) * (⁶⁴/₁)" = (1*64) / (16*1) = 64/16 = "4" . Yes!
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When x = -2; the "output" is: "(¹/₆₄)" .
When x = -3; the "output" is: "(¹/₂₅₆)" ,
The ratio: "(¹/₆₄)/(¹/₂₅₆) = ? 4 " ? ;
→ "(¹/₆₄) / (¹/₂₅₆)" ;
= " (¹/₆₄) ÷ (¹/₂₅₆)" = " (¹/₆₄) * (²⁵⁶/₁) " = (1*256) / (64*1) = 256/164 = "4 " . Yes!
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→ So; as calculated; the ratio is: "4" ; which is:
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→ Answer choice: [B]: "4" .
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Answer: (1) Sometimes, only if the parallelogram is also a rhombus. 13. A rectangle is a square. ... A square has opposite angles congruent. o Always, all parallelograms have opposite sides congruent. 16.
(2) Some rectangles may be squares, but not all rectangles have four congruent sides. All squares are rectangles however. The correct answer is that all trapezoids are quadrilaterals.
(3) Every square is a rhombus, and a rhombus can be a square, if all its angles are 90 degrees. Thus, a rhombus can be a rectangle (if the angles of the rhombus are all 90 degrees), and a rectangle can be a rhombus (if the sides of the rectangle are all equal length).
Hey hope this helps you out ! <3 <3 <3
