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kirill [66]
2 years ago
5

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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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
2 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}\pir^{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
2 years ago
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