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iren2701 [21]
4 years ago
7

Please help. I do not get this

Mathematics
1 answer:
Step2247 [10]4 years ago
3 0

i believe it is the second option

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In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction
tensa zangetsu [6.8K]

<u>The given options are:</u>

(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.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(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:

The area of the shaded sector can be determined using the formula:

\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2

m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle

360^\circ =$Total Angle

Therefore, the formula is:

\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}

Therefore, the formula is best explained by Option A.

7 0
3 years ago
Find the solution to the following system using substitution or elimination:
stepladder [879]

Answer: A

Explanation:

Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.

7 0
3 years ago
Read 2 more answers
25 is 32% of what number?
Maurinko [17]
You would set up the proportion 25/X= 32/100. 
25*100 is 2500, 32*x is 32x
2500 = 32x
/32       /32   dividing by 32 on both sides
78.125 = x
4 0
3 years ago
Read 2 more answers
The floor of the cafeteria storage room is being tiled. The room is shaped like a parallelogram. The
notsponge [240]

Answer: 39

Step-by-step explanation: formula is bh. 19.5 times 8 is 156. divide by 4 because a package will cover 4 sq ft.

6 0
2 years ago
Read 2 more answers
Find the 2 critical points of the given function and then determine whether it is a local maximum, local minimum, or saddle poin
grandymaker [24]

Answer:

Step-by-step explanation:

Given is a function f in two variables as

f(x, y) = (x − y)(xy − 9)

To find critical points of the given function and also to find max, min or saddle point.

Find the partial derivatives

f(x,y) = x^2y-xy^2-9x+9y

f_x=2xy-y^2-9\\f_y =x^2-2xy+9\\f_{xy}  =2x-2y = f_{yx}

f_{xx}=2y\\ f_{yy}=-2x

Equate first derivatives to 0

Adding fx and fy we get

x^2-y^2 =0\\

x=±y

Only real roots are (x,y) =(3,3) and (-3,-3)

D(3,3)=f_{xx}(3,3) f_{yy}(3,3)-f_{xy}^2(3,3) \\=-36-0

(3,3) is a saddle point

D(-3,-3) = -36

(-3,-3) is also a saddle point.

7 0
3 years ago
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