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SashulF [63]
3 years ago
9

Solvę for x. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
Tom [10]3 years ago
6 0

Answer:

7

Step-by-step explanation:

Use secant-tangent product theorem.

1. Set up the equation

(x-3)(x-3+5) = (x-1)²

2. Solve

(x-3)(x+2) = (x²-2x+1)

(x²-x-6) = (x²-2x+1)

3. Solve for x

Subtract x² from both sides

-x-6 = -2x+1

Add 2x and 6 to both sides

x = 7

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Answer:

x+8<26

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Draw a solid with the following front, side, and top views.
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4 0
2 years ago
A 1414​-ft ladder leans against a wall at a point 55 feet above the ground. how far is the bottom of the ladder from the​ wall?
viva [34]
Assume ladder length is 14 ft and that the top end of the ladder is 5 feet above the ground.

Find the distance the bottom of the ladder is from the base of the wall.

Picture a right triangle with hypotenuse 14 feet and that the side opposite the angle is h.  Then sin theta = h / 14, or theta = arcsin 5/14.  theta is

0.365 radian.  Then the dist. of the bot. of the lad. from the base of the wall is 

14cos theta = 14cos 0.365 rad = 13.08 feet.  This does not seem reasonable; the ladder would fall if it were already that close to the ground.

Ensure that y ou have copied this problem accurately from the original.

7 0
3 years ago
For the problem below, θ is a central angle in a circle of a radius r. Find the length of arc s cut off by θ.
mixas84 [53]

Answer:

Here, we will use the formula from trigonometry which defines a radian

we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed

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if the radius is r and the arc is 2r, the angle in radians will be equal to:

length of arc / radius = 2r/r = 2 radians

I believe this will explain what is actually happening in these type of questions

So, the equation:

Θ(in radians) = s / r (where the length of arc is s and the radius is r)

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4 0
3 years ago
Evaluate 5m2 for m=4
jolli1 [7]
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3 years ago
Read 2 more answers
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