The annual salaries of all employees at a financial company are normally distributed with a mean= $34,000 and a standard deviati
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Answer:
<h3>- The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth. </h3><h3>- The area of the shaded sector depends on the length of the radius. </h3><h3>- The area of the shaded sector depends on the area of the circle</h3>Step-by-step explanation:
Given central angle PQR = 45°
Total angle in a circle = 360°
Ratio of the measure of central angle PQR to the measure of the entire circle is . This shows ratio that <u>the measure of central angle PQR to the measure of the entire circle is one-eighth</u>.
Area of a sector =
= central angle (in degree) = 45°
r = radius of the circle = 6
Area of the sector
<u>The ratio of the shaded sector is 4.5πunits² not 4units²</u>
From the formula, it can be seen that the ratio of the central angle to that of the circle is multiplied by area of the circle, this shows <u>that area of the shaded sector depends on the length of the radius and the area of the circle.</u>
Since Area of the circle = πr²
Area of the circle = 36πunits²
The ratio of the area of the shaded sector to the area of the circle =
For length of an arc
ratio of the length of the arc to the area of the circle =
It is therefore seen that the ratio of the area of the shaded sector to the area of the circle IS NOT equal to the ratio of the length of the arc to the area of the circle
The table showing the conversion of angle measure in degrees to angles in gradients is attached below.
In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).
For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:
So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11
In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).
For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:
So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11
Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function , and then transform it into the function:
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)