In the figure angle ZYX is measured in degrees The area of the shaded sector can be determined using formula m

Mathematics

2 answers:

kramer3 years ago

8 0

Answer: Option A

The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

Nezavi [6.7K]3 years ago

7 0

Answer:

A sector is a portion of a circle, it is the area between to radii and the connecting arc. Imagining a circle as a cake, a sector would be equivalent to a slice of cake. Therefore the formula for the area of a sector is equivalent to the total area of the circle multiplied by the angle proportion of the sector. Where, angle proportion of the sector = angle of sector / total angle of circle (360 degree) With this, the correct answer is: "The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector."

Step-by-step explanation:

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Korolek [52]

Step 1: Write out the function given

$f(x)=3x^2-x$

Step 2: Interprete the question given

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The question requested we find the summation of the first five terms for f(k/2), when k is 1, 2, 3, 4, and 5

Step 3: Find the expression for f(k/2)

$\begin{gathered} f(\frac{k}{2})=3(\frac{k}{2})^2-\frac{k}{2} \\ =\frac{3k^2}{4}-\frac{k}{2} \\ =\frac{3k^2-2k}{4} \end{gathered}$ $\begin{gathered} =\frac{3(1)^2-2(1)}{4}+\frac{3(2)^2-2(2)}{4}+\frac{3(3)^2-2(3)}{4}+\frac{3(4)^2-2(4)}{4}+\frac{3(5)^2-2(5)}{4} \\ =\frac{1+8+21+40+65}{4} \\ =\frac{135}{4} \\ =33.75 \end{gathered}$

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1 year ago

If y varies jointly as x and the cube of z and y=16 when x=4 and z=2 then y=0.5 when x=-8 and z=-3?

Evgesh-ka [11]

Answer: F (False)

Step-by-step explanation:

Jointly variation has the following form:

y=kxz

Where k is a constant of propotionality.

Substitute values:

If y=16, x=4 and z=2, then k is: