I need the answer please

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]

The given options are:

(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

5/8 ÷ 3/4 I Need help? LIKE NOW!!!

jolli1 [7]

Answer: 5/6

Step-by-step explanation:

5/8 / 3/4

5/8 * 4/3= 20/24

20/24 / 4/4 = 5/6

7 0

2 years ago

AREA, PERMITER AND VOLUME QUESTIONS.

castortr0y [4]

Answer:

Step-by-step explanation:

(A) The radius of the circle is=1.8m

Then diameter will be: 2r= $2{\times}1.8=3.6 m$

Circumference of circle= ${\pi}d$ = $3.14{\times}3.6=11.304 m$

Area of the circle= ${\pi}r^{2}=3.14{\times}(1.8)^{2}=10.17 m^{2}$

(B) The area of the rectangular backboard of basketball court = 18900 $cm^{2}$

Width=180cm

Area of rectangle= l{\times}b[/tex]

18900=l{\times}180[/tex]

$l=105 cm=1.05m$

Perimeter of the seating space=2(l+b)

= $2(32.5+18.4)$

= $101.8 m$

Perimeter of the basketball court=2(l+b)

= $2(15+28)$

= $86 m$

Now, total perimeter= perimeter of the basketball court+perimeter of the seating space.

Total perimeter= $101.8+86=187.8 m$

Area of the seating space= $l{\times}b$

= $32.5{\times}18.4=598 m^{2}$

(C) The shape consists of one square and 4 triangles, therefore area of square= $(side)^{2}=(3)^{2}=9 m^{2}$

Area of 4 triangles= $4{\times}(\frac{1}{2}{\times}B{\times}H)$

= $4{\times}(\frac{1}{2}{\times}3{\times}2)=12m^{2}$

Area of the shape= Area of the square+ area of the 4 triangles

= $9+12=21m^{2}$

(D) Perimeter of rectangle with length=40 m (After converting cm to m) and breadth= 10 m is given by: $2(l+b)=2(40+10)=100 m$

Perimeter of rectangle with length 68 m and breadth=33 m is given by: $2(l+b)=2(68+33)=202 m$

Perimeter of the semicircle= $\frac{{\pi}d}{2}=\frac{3.14{\times}34}{2}=53.38 m$

Total perimeter= $100+201+53.38=355.38 m$

Area of rectangle with length=40 m (After converting cm to m) and breadth= 10 m is given by: $l{\times}b=40{\times}10=400 m^{2}$

Area of rectangle with length 68 m and breadth=33 m is given by: $l{\times}b=68{\times}33=2244 m^{2}$

Area of the semi circle= $\frac{{\pi}r^{2}}{2}=\frac{3.14{\times}17^{2}}{2}=453.73 m^{2}$

Total area= $400+2244+453.73=3097.73 m^{2}$

8 0

3 years ago

Read 2 more answers

Determine whether each sample may be biased. Explain.

34kurt

Answer:

5: yes he could easily chose bigger looking families to get the result he wants

6: no he has isn't choosing people and has no idea the answers presumibly

7: no it's not something that they could choose or know what is going to happen, therefore or can't be biased.

I'm not sure if I did it right but I think that's what it's asking sorry if I'm wrong

5 0

3 years ago

Please Help!!!!

vekshin1

The bes thing to do t find the scale factor is to divide the larger number by the smaller number. 260/13= 20 120/6= 20. As these are both the same, therefore, the scale factor is 20. Hope this helps :)

6 0

4 years ago