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Aleks04 [339]
2 years ago
7

HELP PLS ITS URGENT

Mathematics
1 answer:
marysya [2.9K]2 years ago
3 0

Melanie: 15 years old

Kevin: 5 years old

Assume Kevin's present age is x.

That means that 3 years ago, his age would be x - 3.

Melanie's age would be 6(x - 3).

Same thing for 5 years into the future:

Kevin's age would be x + 5.

Melanie's age would be 2(x + 5).

The two equations we have here are:

\left \{ {{x + 5 = 2(x + 5)} \atop {x - 3 = 6(x - 3)}} \right.

By subtracting both equations, we are simplified to:

8 = -4x + 28

By solving the equation, we get x = 5.

That means that Kevin's current age is 5 years old.

Melanie's age could be calculated by substituting Kevins'.

6(x - 3) --> 6(5 - 3) --> 12

Since that was 3 years ago, you need to add 3 to 12 to get her current age.

12 + 3 = 15

Melanie's current age is 15 years old.

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Please help
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Answer:

Step-by-step explanation:

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These are the first six terms of a sequence with a1= - 3: - 3, 8, 19, 30, 41, 52, … Find a recursive formula for this sequence t
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Answer:

a(n+1)=a(n)+11

Step-by-step explanation:

The difference between two consecutive elements is 11.

8=-3+11\\19=8+11\\30=19+11\\41=30+11\\52=41+11\\

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3 years ago
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
kupik [55]

Answer:

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

Step-by-step explanation:

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,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

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

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

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

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