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1 year ago

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of

Mathematics

1 answer:

Firlakuza [10]1 year ago

6 0

The length of the hypotenuse = 7.1 inch

Step-by-step explanation:

In an isosceles right angle triangle if one leg is 5 inch, another side along the right angle is 5 in

hypotenuse = $\sqrt{side^{2} +base^{2} }$ ( by Pythagoras theorem)

= $\sqrt{5^{2}+5^{2} }$

= $\sqrt{50}$

= 7.07106781

= 7.1 inch (approx)

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Answer:

The multiplicative rate of change is $\dfrac{2}{5}.$

Step-by-step explanation:

You are given the function

$f(x)=2\cdot \left(\dfrac{5}{2}\right)^{-x}$

First, use the following property of exponents

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So, your function is

$f(x)=2\cdot \left(\dfrac{2}{5}\right)^{x}$

If the exponential function is written in the form

$f(x)=a\cdot b^x,$

then b is the multiplicative rate of change for this exponential function.

In your case, the multiplicative rate of change is $\dfrac{2}{5}.$

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The four options are attached below

Answer:
Second attachment is the correct choice

Explanation:
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Now, let's check the choices:
First attachment:
It shows that two sides and the included angle between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second one. This is congruency by SAS. Therefore, this option is incorrect

Second attachment:
It shows that two angles and the included side between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second triangle. This is congruency by ASA. Therefore, this option is correct

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Hope this helps :)

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