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Dahasolnce [82]
3 years ago
7

Observers in two lighthouses K and L spot a ship S.

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer:

KL = 12km                  s° = 59°

SL = 9.72km              l°  = 77°

SK = 13.6km               k° = 44°

Step-by-step explanation:

When you know two angles you can find the third.

1.

The angles always add to 180°:

A + B + C = 180°

so,

k ° +  s ° + l° = 180°

44 + 77 + s = 180

121 + s = 180

s = 180 - 121

s = 59°

2.

Law of Sines (the Sine Rule):

 a/sinA = b/sinB = c/sinC

KS / sin(L) = KL / sin(S)

x / sin(77) = 12 / sin(59)

x = 12 sin(77) / sin(59)

x = 13.6km

similarly,

SL / sin(k) = KL / sin(S)

y / sin(44) = 12 / sin(59)

y = 9.72km

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lutik1710 [3]
We will round both numbers:-

9.1 = 9 

11.8 = 12

Now we will multiply these 2 numbers to get our answer. 

9 × 12 = 108

So, 9.1 ÷ 11.8 is ABOUT 108.

Hope I helped ya!!!!!!!
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3 years ago
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Hello,

Since the degree of a polynomial is the highest exponent present, the degree of Mei’s polynomial should be 2.
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3 years ago
(2x-3)(3x+4) expand and simplify
elixir [45]

Answer:

6x² - x - 12

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor.

(2x - 3)(3x + 4)

= 2x(3x + 4) - 3 (3x + 4) ← distribute both parenthesis

= 6x² + 8x - 9x - 12 ← collect like terms

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3 years ago
Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).
Reptile [31]

Answer:

-14

Step-by-step explanation:

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5 0
2 years ago
214 people used a public swimming pool. $1.50 for kids and $2.25 for adults. The receipt totaled to $390 How many children and h
zysi [14]

Answer:the number of kids that used the public pool that day is 122

the number of adults that used the public pool that day is 92

Step-by-step explanation:

Let x represent the number of kids that used the public pool that day.

Let y represent the number of adults that used the public pool that day.

214 people used a public swimming pool. This means that

x + y = 214

1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that

1.5x + 2.25y = 390 - - - - - - - - - -1

Substituting x = 214 - y into equation 1, it becomes

1.5x

1.5(214 - y) + 2.25y = 390

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- 1.5y + 2.25y = 390 - 321

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y = 69/0.75 = 92

Substituting y = 92 into x = 214 - y, it becomes

x = 214 - 92 = 122

5 0
3 years ago
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