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MAVERICK [17]
3 years ago
12

A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse

. Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth.
Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0
First draw a right triangle using the lighthouse as reference. Draw a dot (lighthouse) draw a line downward (south) with 2.2 km measurement. Next, draw a line to the right of the lighthouse (16.8 km)

The two legs are 2.2 km and 16.8 km. To complete the statement, we need to solve for the hypotenuse of the right triangle. 

Using the Pythagorean Theorem:

Assign a = 2.2 km
            b = 16.8 km

so,

c^2 = a^2 + b^2

2.2^2 + 16.8^2 = c^2

Therefore, the value of c is 16.94 km. 
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Answer:

Step-by-step explanation:

f * g = (x^2 + 3x - 4) (x+4)

open bracket

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

x³ +3x²-4x+x²+12x-16

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x³+4x²+8x-16 (domain is all real numbers.

f/g = (x^2 + 3x - 4)/(x+4)

factorising (x^2 + 3x - 4)

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(x+4)(x-1)

f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)

Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.

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Given that CD¯¯¯¯¯¯¯¯ is a perpendicular bisector of AB¯¯¯¯¯¯¯¯, where D is on AB¯¯¯¯¯¯¯¯, how can you use the Pythagorean Theor
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Answer:

(AD)^2 + (CD)^2 = (CA)^2 and (CD)^2 + (BD)^2 = (CB)^2

Step-by-step explanation:

Given

Bisector: CD

of Line AB

Required

Apply Pythagoras Theorem

From the question, CD bisects AB and it bisects it at D.

The relationship between AB and CD is given by the attachment

Considering ACD

From the attachment, we have that:

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By Pythagoras Theorem, we have

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Considering CBD

From the attachment, we have that:

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By Pythagoras Theorem, we have:

(CD)^2 + (BD)^2 = (CB)^2

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