Why is the diagonal of any rectangular prism always longer than any one side? Use the drop-down menus to explain your answer.
2 answers:
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Part 1)<span>There are 100 cm in 1 m and 1000 m in 1 km. You need a curtain for a window that is 156 cm wide.
Part (a) If you wanted to convert the width to kilometers, what conversion factor should you use? Show your work.
we know that
100 cm------> 1 m
1000 m-----> 1 km
step 1
convert cm to m
156 cm---------> 156*(1/100)-----> 1.56 m
step 2
convert m to km
1.56 m------> 1.56*(1/1000)----> 0.00156 km
step 3
find the factor
156 cm---------> 156*(1/100)*(1/1000)---> 156*[1/100000]=0.00156 km
the answer part 1a) is
the conversion factor is (1/100000)
Part </span><span>(b) What is the width in kilometers?
</span><span>
the answer Part 1b) is 1.56 km
Part 2)</span><span> The driver of a taxi charges $2 every minute plus a pickup fee of $3.
Part (a) Write an expression for the total cost of a taxi ride.
</span>
let
x-----> quantity of minutes of a taxi ride
y----> total cost of a taxi ride
we know that
y=2x+3
the answer Part) 2a is
An <span>expression for the total cost of a taxi ride is
</span>y=2x+3
Part <span>b) How much does an 18-min drive cost?
y=2x+3
for x=18 minutes
y=2*18+3-----> y=$39
the answer Part 2b) is
$39
Part 3)</span><span> Draw a net for each of the following shapes:
(a) Rectangular prism
(b) Triangular prism
(c) Pyramid
see the attached figures</span>
Part (a) If you wanted to convert the width to kilometers, what conversion factor should you use? Show your work.
we know that
100 cm------> 1 m
1000 m-----> 1 km
step 1
convert cm to m
156 cm---------> 156*(1/100)-----> 1.56 m
step 2
convert m to km
1.56 m------> 1.56*(1/1000)----> 0.00156 km
step 3
find the factor
156 cm---------> 156*(1/100)*(1/1000)---> 156*[1/100000]=0.00156 km
the answer part 1a) is
the conversion factor is (1/100000)
Part </span><span>(b) What is the width in kilometers?
</span><span>
the answer Part 1b) is 1.56 km
Part 2)</span><span> The driver of a taxi charges $2 every minute plus a pickup fee of $3.
Part (a) Write an expression for the total cost of a taxi ride.
</span>
let
x-----> quantity of minutes of a taxi ride
y----> total cost of a taxi ride
we know that
y=2x+3
the answer Part) 2a is
An <span>expression for the total cost of a taxi ride is
</span>y=2x+3
Part <span>b) How much does an 18-min drive cost?
y=2x+3
for x=18 minutes
y=2*18+3-----> y=$39
the answer Part 2b) is
$39
Part 3)</span><span> Draw a net for each of the following shapes:
(a) Rectangular prism
(b) Triangular prism
(c) Pyramid
see the attached figures</span>