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igomit [66]
3 years ago
14

Find the length of the segment indicated.

Mathematics
2 answers:
artcher [175]3 years ago
5 0

Answer:  The length of the indicated segment is 14.45 units.

Step-by-step explanation:  We are given to find the length of the indicated segment.

From the figure, we note that

A chord is bisected by the radius of the circle that makes a right-angled triangle with hypotenuse measuring 16.1 units and the other two sides measures x units and 7.1 units.

Using Pythagoras theorem, we get

x^2+7.1^2=16.1^2\\\\\Rightarrow x^2+50.41=259.21\\\\\Rightarrow x^2=259.21-50.41\\\\\Rightarrow x^2=208.8\\\\\Rightarrow x=\pm\sqrt{208.8}\\\\\Rightarrow x=\pm14.45.

Since x is the length of side of a triangle, so we get

x = 14.45.

Thus, the length of the indicated segment is 14.45 units.

laiz [17]3 years ago
3 0

The red square means the triangle is a right triangle so you can solve for x using the Pythagorean theorem.

x = √(16.1^2 - 7.1^2)

x = √(259.21 - 50.41)

x = √208.8

x = 14.4499

Rounded to the nearest tenth x = 14.4

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Hope this helped you :)

7 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST!!!!!1
Murrr4er [49]

Hey there!

<em>C = 0.25x + 40</em>

(a) For this part we solve for C when x = 240. Substitute 240 in for x.

C = 0.25(240) + 40

Multiply 240 by 0.25.

C = 60 + 40

Add.

C = 100

The cost is $100.

<u>Check</u>

100 = 0.25(240) + 40

100 = 60 + 40

100 = 100

(b) For this part we solve for x when C = 180. Substitute 180 for C.

180 = 0.25x + 40

Subtract 40 from each side.

140 = 0.25x

Divide each side by 0.25.

560 = x

This person drove 560 miles.

<u>Check</u>

180 = 0.25(560) + 40

180 = 140 + 40

180 = 180

(c) For this we must make an inequality with C = 150.

Since they want the cost to be <em>no more than</em> 150, we will use the ≥ symbol.

C ≥ 0.25x + 40

Substitute 150 for C. Solve for x.

150 ≥ 0.25x + 40

Subtract 40 from each side.

110 ≥ 0.25x

Divide each side by 0.25.

440 ≥ x

The max number of miles they can drive is 440.

<u>Check</u>

150 ≥ 0.25(440) + 40

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150 ≥ 150

Hope this helps!

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Explanation:

7. f(x) = x^4 + 3x^3 - 6x^2 - 10x + 8
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f(2) = 0

8. x^2 - 9 = (x - 3)(x + 3)
x ^2 + x - 6 = (x + 3)(x -2)

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Work out the area of the rectangle us a calculator giving your answer in mixed numbers 5 1/6cm 2 2/7cm?
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The answer is going to be  11 17/21. hope that helped 


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