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3 years ago

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Course Activity: Sides and Angles of Congruent Triangles Part C Measure the lengths of the sides of ∆ABC and its three images an

d record the measurements in the table.

1 answer:

enot [183]3 years ago

3 0

Answer

Step-by-step explanation:

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The volume of a cone is 108 pi cubic inches. Its height is 4 inches. What is the radius of the cone? Round answer to nearest ten

leonid [27]

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ -----\\ V=108\pi \\ h=4 \end{cases}\implies 108\pi =\cfrac{\pi r^2(4)}{3}\implies 324\pi =4\pi r^2 \\\\\\ \cfrac{324\pi }{4\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies 9=r$

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3 years ago

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Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).

ad-work [718]

<h3>Conner work is correct. Jana work is wrong</h3>

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

<em><u>Conner and Jana are multiplying:</u></em>

$(3^56^8)(3^96^{10})$

Given Conner's work is:

$(3^56^8)(3^96^{10}) = 3^{5+9}6^{8+10} = 3^{14}6^{18}$

We have to check if this work is correct

Yes, Conner work is correct

From given,

$(3^56^8)(3^96^{10})\\\\3^5 \times 6^8 \times 3^9 \times 6^{10}$

Use the following law of exponent

$a^m \times a^n = a^{m+n}$

Therefore,

$3^5 \times 6^8 \times 3^9 \times 6^{10} = 3^5 \times 3^9 \times 6^8 \times 6^{10} = 3^{5+9} \times 6^{8+10} = 3^{14} \times 6^{18}$

<em><u>Given Jana's work is:</u></em>

$(3^56^8)(3^96^{10}) = 3^{5.9}6^{8.10} = 3^{45}6^{80}$

This is incorrect

The powers of same base has to be added. But here, powers are multiplied which is wrong

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3 years ago

You have been asked to develop a composite measure of the quality of life on your campus.

Shkiper50 [21]

The social indicators that can be used to know the quality of life in campus are the number of hours spent in school, extra curricular activities, etc.

<h3>What are social indicators?</h3>

It should be noted that social indicators are used to monitor the social system.

The social indicators that can be used to know the quality of life in campus are the number of hours spent in school, extra curricular activities, etc. They're important to assess ones social life.

In conclusion, after necessary data has been collected m, a research can be made to know how the quality of life is affected by the data.

Learn more about indicators on:

brainly.com/question/485822

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2 years ago

Juan lives 2.5 miles from the park. It took him 12 minutes to ride his bicycle to the park. What was Juan's average speed, in mi

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His average speed is 12.5 mph

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3 years ago

A(-9, -9), B(-21, -12), and C(-15, 15). What type of triangle is it?

Olegator [25]

Answer:

A overly complicated triangle.

Step-by-step explanation: Good luck...

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3 years ago

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