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
Answer:
8.6
Step-by-step explanation:
To find the distance between two points we use the formula posted below
All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with
the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267
then we round to the nearest tenth and get 8.6
Answer:
About 73 degrees
Step-by-step explanation:
By the law of cosines:

Hope this helps!
Answer:
2062.50
Step-by-step explanation:
Interest = (Principle x rate x time)/100
Amount = Principle + interest
Principle = 750
Rate = 7%
Time = 25 years
(750 x 7 x 25)/100
= 131250/100
=1312.50
Principle = 750
Interest = 1312.50
Amount = 750 + 1312.50
Amount = 2062.50
Answer:
41°
Step-by-step explanation:
the sum of the interior angles is 180 degree
so,
38 + x + 101 = 180
139 +x = 180
x = 180 - 139
x= 41°