The gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
<h3>What is the Total Surface Area of a Rectangular Box?</h3>
Total surface area (TSA) = 2(wl+hl+hw), where:
- l = length
- w = width
- h = height of the box.
The amount of gift wrap needed to cover the whole box = total surface area of the rectangular box
l = 20 in.
w = 8 in.
h = 13 in.
Plug in the values into the formula for total surface area of a rectangular box:
TSA = 2(8×20 + 13×20 + 13×8)
TSA = 1,048 in.²
Therefore, the gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
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2(x+2) > x+5
2x+4 > x+5
2x+4-x > x+5-x
x+4 > 5
x+4-4 > 5-4
x > 1
Answer:
Approximantly 20
Step-by-step explanation:
Circumference = pi times diameter
63/pi = diameter
Answer: 20.0535228
Answer:
The integral is equal to 
for an arbitrary constant C.
Step-by-step explanation:
a) If 
then 
so the integral becomes 
. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)
b) In this case 
hence 
. We rewrite the integral as 
.
c) We use the trigonometric identity 
is part b). The value of the integral is 
. which coincides with part a)
Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.
Therefore the probability that the angle measure are supplementary are:120,60
