+0  
 
0
45
1
avatar+4 
  • 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
Sort: 

1+0 Answers

 #1
avatar+86528 
+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

37 Online Users

avatar
New Privacy Policy (May 2018)
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  Privacy Policy