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dsp73
3 years ago
12

Jacob wants to make a graph to show the relationship between temperatures in Fahrenheit and degrees Celsius. He plots the follow

ing points:
(11, −11.7), (15, −9.4), (25, −3.9), (35, 1.7), (45, 7.2)

He uses the following steps to plot the graph:


1.Label origin as (0, 0).
2.On x-axis, label Temperature in Fahrenheit.
3. On y-axis, label Temperature in degrees Celsius.
4.The scale on x-axis starts from 0 and goes up to 700 at intervals of 20.
5.The scale on the y-axis starts from −12 and goes up to 12 at intervals of 2.

Which of the following best describes the graph?

It will not be spread out horizontally across the entire coordinate plane because in Step 4, Jacob selected an incorrect scale on the x-axis.

It will not be spread out vertically across the entire coordinate plane because in Step 5, Jacob selected an incorrect scale on the y-axis.

It will not be spread out horizontally across the entire coordinate plane because in Step 2, Jacob plotted Fahrenheit instead of Celsius on the x-axis.

It will not be spread out vertically across the entire coordinate plane because in Step 3, Jacob plotted Celsius instead of Fahrenheit on the y-axis.
Mathematics
1 answer:
____ [38]3 years ago
4 0
Answer: It will not be spread out horizontally across the entire coordinate plane because in Step 2, Jacob plotted Fahrenheit instead of Celsius on the x-axis.

Jacob confused the values, the first coordinate of the ordered pairs (which corresponds to the x-axis) is in Celsius and he used it as Farenheit.

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Answer:

Volume = 1017.36\ in^3 -- Cone

Volume = 3052.08\ in^3 -- Cylinder

Volume = 3052.08\ in^3 -- Sphere

<em>Best Buy: Sphere Clay</em>

Step-by-step explanation:

Given

Solid Shapes: Cone, Cylinder, Sphere

Cost of Cone Clay = $12

Cost of Cylinder Clay = $30

Cost of Sphere Clay = $28

Required

Determine the volume of each shape

Which is the best buy

<h2>CONE</h2><h3>Calculating Volume</h3>

The volume of a cone is calculated as thus;

Volume = \frac{1}{3}\pi r^2h

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and \pi = 3.14

Substitute these values in the above formula;

Volume = \frac{1}{3} * 3.14 * 9^2 * 12

Volume = \frac{3052.08}{3}

Volume = 1017.36\ in^3

<h3>Calculating Volume:Price Ratio</h3>

The unit cost of the cone is calculated as thus;

Volume:Price  = \frac{Volume}{Total\ Cost}

Where

Volume = 1017.36\ in^3

Total\ Cost = \$12 (Given)

Volume:Price = \frac{1017.36\ in^3}{\$ 12}

Volume:Price = 84.78 in^3/\$

Volume:Price = 84.78 in^3:\$1

<h2>CYLINDER</h2><h3>Calculating Volume</h3>

The volume of a cylinder is calculated as thus;

Volume = \pi r^2h

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and \pi = 3.14

Substitute these values in the above formula;

Volume = 3.14 * 9^2 * 12

Volume = 3052.08\ in^3

<h3>Calculating Volume:Price Ratio</h3>

The unit cost of the cone is calculated as thus;

Volume:Price = \frac{Volume}{Total\ Cost}

Where

Volume = 3052.08\ in^3

Total\ Cost = \$30 (Given)

Volume:Price = \frac{3052.08\ in^3}{\$ 30}

Volume:Price = 101.736\ in^3/\$

Volume:Price = 101.736\ in^3:\$1

<h2>SPHERE</h2><h3>Calculating Volume</h3>

The volume of a sphereis calculated as thus;

Volume = \frac{4}{3}\pi r^3

From the attached diagram

Radius, r = 9 inches; and \pi = 3.14

Substitute these values in the above formula;

Volume = \frac{4}{3} * 3.14 * 9^3

Volume = \frac{9156.24}{3}

Volume = 3052.08\ in^3

<h3>Calculating Volume-Price ratio</h3>

The unit cost of the cone is calculated as thus;

Volume:Price = \frac{Volume}{Total\ Cost}

Where

Volume = 3052.08\ in^3

Total\ Cost = \$28 (Given)

Volume:Price = \frac{3052.08\ in^3}{\$ 28}

Volume:Price = 109.003\ in^3/\$

Volume:Price = 109.003\ in^3:\$1

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<em>The best buy is the sphere because it has the highest volume:price ratio.</em>

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Answer:

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Answer:

Step-by-step explanation:

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Let the unspecified angle be \theta\\ (This sign is called theta, which is just a sign for angle)

Lets start!

cos\theta\\ = adj/hyp

cos\theta\\ = 6/13

\theta\\ = cos^{-1}(6/13)

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= 5432/84 = 5626/87 = 5820/90

= 6014/93 = 6208/96 = 6402/99

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= 8924/138 = 9118/141         =       9312/144

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= 13580/210 = 13774/213 = 13968/216

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Step-by-step explanation:

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