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
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Step-by-step explanation:
these are multiplications.
you could also write
4 + 5×(p - 1)
now, we need to calculate the contents of brackets (if we can), then do the multiplications and divisions, before we can do the then remaining additions and subtractions.
if we cannot do a calculation directly (because there is a variable involved), we need to do and document the single steps for the individual parts involved.
so,
4 + 5×(p - 1) = 4 + 5×p + 5×-1 = 4 + 5p - 5 = 5p - 1
remember, a multiplication of 2 expressions is done by multiplying every term of one expression with every term of the other expression and adding the results up (by considering their individual signs, of course).
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Answer:
±2 sqrt(3) =x
Step-by-step explanation:
12 - x^2 = 0
Add x^2 to each side
12 - x^2 + x^2 = x^2
12 = x^2
Take the square root of each side
±sqrt(12) = sqrt(x^2)
±sqrt(4*3) = sqrt(x^2)
±sqrt(4) sqrt(3) = x
±2 sqrt(3) =x
The weight of a shipment of 2560 balls weighs 320 pounds.
<h3>
How much would a shipment of 2560 tennis balls weigh?</h3>
We know that 24 tennis balls weigh 3 pounds. Then the weight of a single tennis ball is:
W = (3 lb)/(24 balls) = (1/8) pounds per ball.
To get the weight of 2560 tennis balls, we just need to multiply the number of tennis balls by the weight of a single ball, then we get:
Total weight = 2560*(1/8) pounds per ball = 320 pounds.
The weight of a shipment of 2560 balls weighs 320 pounds.
If you want to learn more about weight:
brainly.com/question/25973294
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