Answer:
Approximately 11 feet.
Step-by-step explanation:
Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:
= 
+ 
- 2abCos C
⇒ 
= 
+ 
- 2(8 x 12) Cos
= 64 + 144 - 192 x 0.42262
= 208 - 81.143
= 126.857
x = 
= 11.2631
x ≅ 11
The length of the third side of the triangle is approximately 11 feet.
Answer:
-12
Step-by-step explanation:
Answer:
Scaling
Step-by-step explanation:
That's the definition:
Scaling is the process that resizes a number when you multiply by a fraction that is greater than or less than one.
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2
The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2
