How do changes in labor productivity affect the us standard of living

Mathematics

1 answer:

Zigmanuir [339]2 years ago

4 0

Answer:

the answer is -Xax.

Step-by-step explanation:

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A right rectangular prism has these dimensions:

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Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216

Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160

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3 years ago

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A smart phone manufacturer wants to determine the average battery time that it’s new smart phone will get. The manufacturer will

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Answer:

Note: The full question is attached as picture below

1. The manufacturer is taking a sample of her friends, which is most convenient to sample - Convenience sampling

2. The whole population is divided into different groups (strata) and random samples are drawn from each group - Stratified sampling

3. The population is divided into different clusters (here, communities) and whole clusters are surveyed - Cluster sampling

4. The samples are drawn at a fixed interval from the population list - Systematic sampling

5. The samples are randomly drawn from the population - Simple random sampling

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3 years ago

Ricardo ran 160 minutes last week at the park. If he runs 15% more this week, how many

Ilia_Sergeevich [38]

Answer:

4356

Step-by-step explanation:

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3 years ago

The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

Explanation

Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

Length of the side AC (b) $= \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}$

Length of the side AB (c) $= \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}$

We need to find ∠ABC or ∠B . So using Cosine rule, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$