Mathematics: If u know the answer to these leave a message

32.25 metersStep-by-step explanation:8.6/2=4.34.3*7.5=32.25...

If u know the answer to these leave a message

Arellano2373

12.01.2022

9)5π in

10)104π ft²

11)7 in

12)rectangular pyramid

13)40.5 in³

14)256π/3 ft³

Step-by-step explanation:

9) Given Radius,r=12m

angle of sector ACB, Θ=75°= $75\frac{\pi}{180}radians$

for given angle of sector, Θ the length of the arc will be $r\theta$

⇒length of arc AB= $(12)(75\frac{\pi}{180})$

= $5\pi$ m

10) Given Radius,r=12 ft

angle of minor sector,Θ1=100°= $100\frac{\pi}{180}=5\frac{\pi}{9}$ radians

angle of major sector, Θ2=360°-100°=260°= $260\frac{\pi}{180}=13\frac{\pi}{9}$ radians

for a given angle of sector,Θ, the area of sector = $\frac{r^{2}\theta}{2}$

⇒area of shaded region=area of major sector= $\frac{12^{2}*(13\frac{\pi}{9})}{2}$

= $\frac{144*13\pi}{18}=104\pi$ ft²

11) Given area of circle,A=153.9 in²

but area of circle is given by $\pi r^{2}$ where r is the radius of the circle.

⇒ $\pi r^{2}=153.9$

⇒ $r^{2}=\frac{153.9}{\pi}=\frac{153.9}{3.14}=49.01$

⇒ $r=\sqrt{49.01}=7in(approx)$

12) The following figure is pyramid but since its base is a rectangular, its known as rectangular pyramid.

13) Given in cylinder:

radius,r=3 in

height,h=4.5 in

Volume of cylinder= $\pi r^{2}h$

= $\pi(3)^{2}(4.5)=40.5\pi$ in³

14) Given diameter of sphere,d=8 ft

volume of sphere= $\frac{4}{3}\pi r^{3}=\frac{\pi d^{3}}{6}=\frac{\pi(8)^{3}}{6}=\frac{256\pi}{3}$ ft³

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