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2 years ago

Solve for x. Round your answer to the nearest tenth.

Mathematics

1 answer:

zlopas [31]2 years ago

7 0

Answer:

By Pythagorean theorem:

$c^2=a^2+b^2$

$x=\sqrt{15^2+33^2}$

$x=36.25$

$x=36.3$

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Step-by-step explanation:

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3 years ago

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The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

$y=mx+b$

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-2\right)}{1-0}$

$m=2$

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2 = 2(0)+b$

$-2=0+b$

$b=-2$

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

$y=mx+b$

$y=2x+(-2)$

$y=2x-2$

Thus, $y=2x-2$ is the required equation.

Therefore, the second option is true.

3 0

3 years ago

Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The

Lady bird [3.3K]

Answer:

The volume of the figure is 905 cubic units.

Step-by-step explanation:

Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

where r is the radius of the sphere.

Given that AB = 6, then the radius of the sphere = 6

volume of sphere = $\frac{4}{3}$ x $\frac{22}{7}$ x $(6)^{3}$

= $\frac{88}{21}$ x 216

= 905.14

volume of sphere = 905 cubic units

The volume of the figure is 905 cubic units.

3 0

3 years ago