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Westkost [7]
1 year ago
8

A boat is heading towards a lighthouse, whose beacon-light is 139 feet above the

Mathematics
1 answer:
Novay_Z [31]1 year ago
5 0

The horizontal distance between light house and boat is 1588.78 feet approximately.

The figure is given by,

Here, AB  = height of the lighthouse bacon light above the water = 139 feet

Now angle ACB = 5 degree

Let the horizontal distance of light house from the boat = BC = x feet

So by trigonometric function we get,

tan 5 = AB/BC

tan 5 = 139/x

x = 139/tan 5 = 1588.78 (approximately)

Hence the horizontal distance between light house and boat is 1588.78 feet approximately.  

To know more about Trigonometric Function refer to:

brainly.com/question/1143565

#SPJ9

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pishuonlain [190]

Answer:

23

Step-by-step explanation:

Evaluate f(- 2) then substitute the value obtained into g(x)

f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then

g(7) = 4(7) - 5 = 28 - 5 = 23

7 0
2 years ago
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2x-1/6 = 2(x-3)/3 + 1?
IceJOKER [234]
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7 0
3 years ago
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Anybody know the answer?
marysya [2.9K]
I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)

y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²

we want to find z so combine the equations by substituting the other variables x,y out.

substitute y² for (x² - 4²) in 1st equation.

(x² - 4²) + 9² = z²

now by rearranging the 2nd equation we can substitute x² for (13² - z²)

(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
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117 = z²
√(117) = z
√(9*13) = z
3√(13) = z

13 goes in the box




































6 0
3 years ago
State the slope-intercept form of the equation for the graph with the points 3,0 and 0,-1
Dvinal [7]

Answer:

The answer is y=1/3x-1

Step-by-step explanation:

m=1/3

y-y=m(x-x1)

y-(-1)=1/3(x-0)

y+1=1/3x-0

-1 -1

y=1/3x-1

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3 years ago
Six friends share 4 apples equally. How much apples does each friend friend get?​
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Half and apple each

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