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Arada [10]
3 years ago
5

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 2 cm and 8 cm long. ​Find the length of

the altitude to the hypotenuse? (Round to the nearest whole number). What is the Altitude ?
Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

Altitude of the right triangle is 4 cm.

Step-by-step explanation:

The altitude divides the right triangle's hypotenuse as 2 cm and 8 cm long.Let's use formula for similar right triangles proportional equation.I'll show you the diagram with steps.

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Answer:

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AveGali [126]

The simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3} is 4x^3.

Solution:

Given expression is 4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}.

To simplify the given expression.

$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}

Using exponent rule: \frac{1}{a^{-m}}=a^m

$\Rightarrow4x \cdot x^{5}.x^{-3}

Using another exponent rule: a^m \cdot a^n=a^{m+n}

$\Rightarrow4x \cdot x^{5-3}

$\Rightarrow4x \cdot x^{2}

Using exponent rule: a^m \cdot a^n=a^{m+n}

$\Rightarrow4x^{1+2}

$\Rightarrow4x^3

Hence the simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3} is 4x^3.

8 0
3 years ago
What is the first step to solve the equation 9h-31=99?
pishuonlain [190]

Add 31 to both sides which will give you

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4 0
3 years ago
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Bicycle rental on the seawall at the beach cost a mandatory minimum of $5 for the first hour and then $4 for each additional hou
zzz [600]
Cost = fix cost + hourly cost - discount

Cost = 4* [5 + 4x - 4x(20/100)] = 4*[5 + 4x - 0.8x] = 4*[5 + 3.2x] = 20 + 12.8x

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The formula c = √a^2 + b^2 represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equa
Eduardwww [97]

Answer:

b = √(c^2 - a²)

Step-by-step explanation:

Start with the given c = √a^2 + b^2.  Squaring both sides, we get:

c² = a² + b².

We want to iosolate b² and then b.

So:  subtract a² from both sides, resulting in:

c² - a² = b²

Taking the square root of both sides, we get:

√b² = √(c² - a²)

and so:

b = √(c^2 - a²)

7 0
3 years ago
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