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  • 1. 

In order to unload clay easily, the body of a dump truck must be elevated to at least 45Β°. The body of a dump truck that is 12 feet long has been raised to 8 feet. Will the clay pour out easily?

 

  • 2.

Find the area of sector GHJ given that πœƒ = 40Β°. Use 3.14 for πœ‹ and round to the nearest tenth.

 

  • 3.

What is the area of βˆ†π΅πΆπ· to the nearest tenth of a square centimeter? 

TriggeringAngel  May 3, 2018
 #1
avatar+88871 
+1

1. The 12 ft   can be considered the hypotenuse of a right triangle

And the 8 ft  can be considered the leg opposite the angle we are considering

 

So....to  find out if this angle is at least 45Β°, we have take thw sine inverse of  8/12

 

So  we have

 

asin (8/12)  =  the angle  β‰ˆ 41.8Β°.....so....it won't pour out smoothly

 

 

2. Area  =  (3.14) r^2 *  (40/ 360)  =

 

(3.14) * 4^2 * 1/9   =   

 

16 * 3.14 / 9    =

 

5.6 cm^2

 

 

3. We have  a 30-60-90  right triangle.....the side opposite the 30 degree angle  = 10 = base

And the side oposite the 60 degree angle  = 10√3 cm = height

 

So....the area  is   (1/2) base * height  =

 

(1/2) 10 * 10√3  = 

 

50√3   cm^2  β‰ˆ    86.6 cm^2

 

 

cool cool cool

CPhill  May 3, 2018

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