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:
x=10°
y = 12°
Step-by-step explanation:
<TSV = 5x + 4x = 90°
=> 9x = 90°
Divide by 9,
x = 10°
<RSU = 10y + 10° + 5x = 180°
=> 10y + 10° + 5*10° = 180°
=> 10y + 10° + 50° = 180°
=> 10y + 60° = 180°
Subtract 60° on both sides,
10y = 180° - 60° = 120°
Divide by 10,
y = 120° / 10 = 12°
Answer:
4/8
Step-by-step explanation:
Dividing a whole cantaloupe into eighths will give you 8/8 or 1. When it is cut in half then divided there is one half of 8/8 or there are 4/8 in one half. This is true because 1/2 and 4/8 are equal terms.
Hope this helps!
A = 1/2bh
40 = 1/2 x^2
x^2 = 80
x = 8.9
Answer:
Step-by-step explanation:
angle 2 and angle 3 are linear pair
angle 1 and angle 7 are alternate exterior angle
angle 4 + angle 7=a80 degree
124 + angle 7=180
angle 7=180-124
angle 7=56 degree
angle 1 is supplementary to angle 2 ,angle 4, angle 6, angle 8 .In supplementary angle sum of two angle is always 180 degree.
angle 4 and angle 5 are supplementary angles because their sum is equal to 180 degree.
angle 4 + angle 5(being co interior angle)
3x+17+x+23=180
4x+40=180
4x=19=180-40
x=140/4
x=35
