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ser-zykov [4K]
3 years ago
11

How many 2/3 cup servings are in 1/6 of a cup of popcorn? (in simplest fraction form) A) 1/2 B) 1/4 C) 2/3 D) 3/8

Mathematics
1 answer:
rusak2 [61]3 years ago
7 0

Answer:

1/4 thus B: is your answer

Step-by-step explanation:

Simplify the following:

(1/6)/(2/3)

Multiply the numerator by the reciprocal of the denominator, (1/6)/(2/3) = 1/6×3/2:

3/(6×2)

3/6 = 3/(3×2) = 1/2:

1/(2×2)

2×2 = 4:

Answer:  1/4

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Given: AC and AE are common external tangents of G and D. BC= 123 GB=20 and AG=101. What is the measure of AC?​
Solnce55 [7]

Answer:

The length of AC is 222 units.

Step-by-step explanation:

Given AC and AE are common external tangents of G and D.

BC= 123 ,  GB=20 and AG=101.

We have to find the measure of AC.

As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,

In ΔABG, by Pythagoras theorem

AG^2=AB^2+BG^2

⇒ 101^2=AB^2+20^2

⇒ AB^2=10201-400=9801

⇒ AB=99 units.

Hence, AC=AB+BC=99+123=222 units.

The length of AC is 222 units.

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