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
Expanded form:
1 × 100,000,000
+ 5 × 10,000,000
+ 4 × 1,000,000
+ 7 × 100,000
+ 9 × 10,000
+ 8 × 1,000
+ 1 × 100
+ 0 × 10
+ 5 × 1
I hope it helps :)
Answer:
1/676
Step-by-step explanation:
There are 52 cards
P(Ace of spades) = Number of aces of spades / total = 1/ 52
The replace the card
There are 52 cards
There are 4 kings
P(king) = number of kings / total = 4/52 = 1/13
P( ace of spades , replace, any king) = 1/52 * 1/13 = 1 /676
Answer:
2/37
Step-by-step explanation:
rate is 4/74 miles per minute, now both numerator and denominator can be divided by 2, so
4/74 = 2/37, which cannot be simplified further
Answer:
F = -6 + 2d/5
Step-by-step explanation:
2d-5f=30
subract 2D from each side
-5f=30-2d
divide both sides by -5
f= -6 +2d/5
