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4 years ago

Please help me out with this

Mathematics

2 answers:

qaws [65]4 years ago

7 0

Answer:

x = 6.5 cm

Step-by-step explanation:

The tangent to the circle forms a right angle with the radius x

Using Pythagoras' identity on the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides

The hypotenuse is (x + 14.7) ← opposite the right angle, hence

(x + 14.7)² = x² + 20.2² ← expand parenthesis on left side

x² + 29.4x + 216.09 = x² + 408.04 ( subtract x² from both sides )

29.4x + 216.09 = 408.04 ( subtract 216.09 from both sides )

29.4x = 191.95 ( divide both sides by 29.4 )

x ≈ 6.5 cm

Ad libitum [116K]4 years ago

4 0

Answer:

Step-by-step explanation:

Formula

a^2 + b^2 = c^2

Givens

a = x

b = 20.2

c = 14.7 + x

Solution

x^2 + 20.2^2 = (14.7 + x)^2 Expand the brackets

x^2 + 408.04 = 14.7^2 + 29.4x + x^2 Cancel the x^2

408.04 = 216.9 + 29.4x Subtract 216.9 from both sides.

191.98 = 29.4x Divide by 29.4

6.52993 = x Answer.

6.5 to the nearest tenth.

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Svetradugi [14.3K]

Answer:

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Step-by-step explanation:

Given , two air craft carriers are A and B . The carrier A is longer than the carrier B in length.

Total length of two carriers =4178 feet

Difference of two carriers = 14 feet

Let

Length of carrier A =x feet

And

Legth of carrier B =y feet

According to question

The I equation is

x+y=4178

The II equation is

x-y= 14

Substitution method: In this method step I : we find value of x or y from the equation I

Step II: put the value of x or y in II equation then we get the value of another varaiable x or y

Step : Again put the obatined value of variable x or y from step II in equation I then we get value of other variable x or y .

By using substitution method ,

we find value of x from equation I

x= 4178-y

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Again , put the value of y in equation I

2082 +x=4178

x= 4178-2082

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