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3 years ago

The ratio of the sides of a triangle is 4:6:9. If the perimeter of the triangle is 95 meters,

Mathematics

1 answer:

Grace [21]3 years ago

5 0

Answer:

45 meters

Step-by-step explanation:

Perimeter of the triangle is the sum of the 3 lengths of the traingle. Since the ratio of the sides is 4:6:9, let the shortest side be 4 units, the longest side be 9 units and the 3rd side be 6 units.

Units is represented as u.

Sum of all 3 sides= 95 m

4u +6u +9u= 95

19u= 95

u= 95 ÷19

u= 5 meters

Longest side= 9 units

Length of the longest side= 9(5) = 45m

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Answer:

<h3>The option A) $x^{10}z^7$ is correct answer.</h3><h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3>

Step-by-step explanation:

Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.

The given expression can be written as $\frac{x^{12}\times z^{11}}{x^2\times z^4}$

<h3>To choose the correct simplification of the given expression :</h3>

Now we have to simplify the given expression as below

$\frac{x^{12}\times z^{11}}{x^2\times z^4}$

$=x^{12}\times z^{11}(x^{-2}\times z^{-4})$ ( by using the identity $\frac{1}{a^m}=a^{-m}$ )

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$=x^{12-2}\times z^{11-4}$ ( by using the identity $a^m.a^n=a^{m+n}$ )

$=x^{10}\times z^7$

$=x^{10}z^7$

∴ $\frac{x^{12}\times z^{11}}{x^2\times z^4}=x^{10}z^7$

<h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3><h3>Hence option A) $x^{10}z^7$ is correct answer.</h3>

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