Answer:
c = 13
Step-by-step explanation:
pythogoras theorem
a² + b² = c²
5² = 25
12² = 144
25 + 144<em> </em>= 169
√169 = 13
c = 13
Answer:
The width of the frame is 2 inches
Step-by-step explanation:
The given dimensions of the picture = 7 inches by 7 inches
The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²
The area of the given picture and the frame, A₂ = 81 square inches
Let 'w' represent the width of the frame and whereby the picture is a square, we have;
The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)
A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²
49 + 14·w + w² - 81 = 0
w² + 14·w - 32 = 0
(x + 16)·(x - 2) = 0
∴ x = -16 or x = 2
Given that 'x' is a natural number, we have;
The width of the frame, x = 2 inches.
It would be the last bubble
Answer:
<u>The correct answer is C. 21x³y</u>
Step-by-step explanation:
Let's simplify the product, this way:
(49x²y)^1/2 * (27x⁶y^3/2)^1/3
Let's recall that x^1/2 = √x and x^1/3 = ∛x
√(49x²y) * ∛(27x⁶y^3/2)
7x √y * 3x² √y
Let's recall that √y * √y = √y² = y
21x³y
<u>The correct answer is C. 21x³y</u>
Answer:
north
Step-by-step explanation:
it says Northern Hemisphere
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