Answer:
3 to 9
second is 2.5 to 15
Step-by-step explanation:
Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).
Let <em>x</em> be the inverse. Then <em>x</em> is such that
23<em>x</em> ≡ 1 (mod 1000)
Use the Euclidean algorithm to solve for <em>x</em> :
1000 = 43×23 + 11
23 = 2×11 + 1
→ 1 ≡ 23 - 2×11 (mod 1000)
→ 1 ≡ 23 - 2×(1000 - 43×23) (mod 1000)
→ 1 ≡ 23 - 2×1000 + 86×23 (mod 1000)
→ 1 ≡ 87×23 - 2×1000 ≡ 87×23 (mod 1000)
→ 23⁻¹ ≡ 87 (mod 1000)
2.9% OF the 500 phones are more than likely defective. In order to figure this out you must do 500*0.029 which would equal 14.5 and rounds off to 15. 15 out of the 500 phones will maybe be defective.
Small triangle: <span>The side // x axis has a length of 4
Large triangle: The side // x axis has a length of 12
So Small/Large = 4/12 = 1/3
Small triangle: <span>The side // y axis has a length of 3
Large triangle: The side // y axis has a length of 9
</span><span>So Small/Large = 3/9 = 1/3
So the scale factor to obtain this dilatation is 1/3</span>
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