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Dafna1 [17]
3 years ago
15

Write the tangent ratios for angle p and angle q

Mathematics
1 answer:
natka813 [3]3 years ago
3 0

Tan p =16/12 ;tan Q=12/16

Option C

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A father is 32 years older than his son. In four years,
sergiy2304 [10]

Answer:

  • father: 36
  • son: 4

Step-by-step explanation:

Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...

  5(s+4) = (s+32)+4

  5s +20 = s +36 . . . . . eliminate parentheses

  4s = 16 . . . . . . . . . . . . subtract s+20

  s = 4

The son is now 4 years old; the father, 36.

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<em>Alternate solution</em>

In 4 years, the ratio of ages is ...

  father : son = 5 : 1

The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...

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So, now (4 years earlier), the ages must be ...

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3 years ago
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Step-by-step explanation:

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3 0
2 years ago
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Brut [27]

Answer:

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Step-by-step explanation:

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2 years ago
C(n) = 4/9(-3)^n-1<br> What is the 3rd term in the sequence?
Yanka [14]

Step-by-step explanation:

c(n) =  \frac{4}{9} ( - 3)^{n - 1}   \\   \\  \therefore \: c(3) =  \frac{4}{9} ( - 3)^{3- 1}   \\   \\  \therefore \: c(3) =  \frac{4}{9} ( - 3)^{2}   \\   \\  \therefore \: c(3) =  \frac{4}{9}  \times 9   \\   \\   \huge{ \purple{ \boxed{\therefore \: c(3) = 4}}}

8 0
3 years ago
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