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ruslelena [56]
2 years ago
12

The ages of two sisters are consecutive even integers. Twice the age of the youngest exceeds the oldest by 8. How old is the you

ngest sister?
Mathematics
2 answers:
dezoksy [38]2 years ago
8 0

Answer:

10 years old

Step-by-step explanation:

Let's say the age of the younger sister is x. Then the age of the older sister must be x + 2 because the ages are consecutive <em>even</em> numbers.

"Twice the age of the youngest exceeds the oldest by 8" means that we multiply x by 2 and set that equal to (x + 2) + 8:

2x = (x + 2) + 8

2x = x + 10

x = 10

So, the youngest sister is 10 years old.

Radda [10]2 years ago
8 0

Answer:

10 ?

Step-by-step explanation:

you gotta add the 8 + 2 = 10

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Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
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Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

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The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

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tan 35° = opposite/adjacent

tan 35° = a/8

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a = 8 × 0.70020753821

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The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

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tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

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