As part of a school contest, Sarah and Luis are playing a math game. Sarah must pick a number between 1 and 50 and give Luis clu
2 answers:
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Given:
The ratio of the measures of the sides of a triangle is 3:4:5.
Its perimeter is 48 inches.
To find:
The scale factor as a decimal, and the measure of each side of the triangle.
Solution:
Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.
The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.
Divide both sides by 12.
Now, the measures of sides are:
Similarly,
And,
Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.
Answer:
the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
or 10.036
Step-by-step explanation:
Given the data in the question;
y = , y = 0, x = 1, x = 2.
Now, using the integration capabilities of a graphing utility
y = , y = 0
Volume =
Volume =
Volume =
Volume =
Volume =
Volume =
Volume = or 10.036
Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
or 10.036