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2 years ago

Find the value of x.

Mathematics

1 answer:

Contact [7]2 years ago

4 0

Answer:

Step-by-step explanation:

Comment

The general formula for a tangent and secant is

tangent^2 = external segment * full length of the secant.

Givens

tangent length = x

external segment = 7

secant length = 7+ 21

Formula

x^2 = 7 * (7 + 21) Remove brackets

x^2 = 7 * 28 Combine

x^2 = 196 Take the square root of both sides

√x^2 = √196

x = 14

Answer: <u>x = 14</u>

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PtichkaEL [24]

Answer: 30.01 feet.

Step-by-step explanation:

You need to remember this identity:

$tan\alpha=\frac{opposite}{adjacent}$

Observe the figure attached, where $h_t$ is the height in feet of the tree.

You need to calculate $h_1$ of the Triangle 1, where:

$\alpha= \alpha_1=42\°\\opposite=h_1\\adjacent=20$

Substitute values into $tan\alpha=\frac{opposite}{adjacent}$ and solve for $h_1$ :

$tan(42\°)=\frac{h_1}{20}\\\\h_1=20*tan(42\°)\\h_1=18$

Now you need to calculate $h_2$ of the Triangle 2, where:

$\alpha= \alpha_2=31\°\\opposite=h_2\\adjacent=20$

Substitute values into $tan\alpha=\frac{opposite}{adjacent}$ and solve for $h_2$ :

$tan(31\°)=\frac{h_2}{20}\\\\h_2=20*tan(31\°)\\h_2=12.01$

Then the height in feet of the tree is:

$h_t=h_1+h_2\\h_t=(18+12.01)ft\\h_t=30.01ft$

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3 years ago

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nadya68 [22]

Answer:

Step-by-step explanation:

simplify

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4 years ago

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Daniel [21]

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4 years ago

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mash [69]

Answer:

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Step-by-step explanation:

Total ways possible = 104 ways

The figure is attached here for understanding.

In the figure, the blank points are those points where we can not reach.

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3 years ago

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natka813 [3]

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4 years ago