Answer:
Step-by-step explanation:
We want to reduce the radical. In order to do that, we want to find the factors of 96 that are square numbers
The factors of 96 are:

16 is a square number, so we can rewrite

B because if you multiplie it it's the answer b
Answer:
7.81 u
Step-by-step explanation:
<u>Given :- </u>
- Two points (3,3) and (-2,-3) is given to us.
And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,
D = √{(x2-x1)² + (y2-y1)²}
D =√[ (3+2)² +(-3-3)²]
D =√[ 5² +6²]
D =√[ 25 +36]
D = 61
D = 7.81
<h3>Hence the distance between the two points is 7.81 units .</h3>
The answer is the first one , A
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