hosh i is working on an art project in the shape of a triangular prism. the sides of the triangle are 2.4 feet, 1.5 feet, and 1.
1 answer:
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Answer:
The laptop will not fit in the case.
Step-by-step explanation:
We need to find the width of the laptop to know if it fits in the case. We have:
<u>For the laptop</u>:
h: is the height of the laptop = 10 inch
d: is the widescreen of the laptop (diagonal) = 17 inch
w: is the width of the laptop =?
<u>For the laptop case</u>:
H: is the height of the laptop case = 10.5 inch
W: is the width of the laptop case = 13 inch
So, the width of the laptop can be found by using Pitagoras:
Hence, the laptop is 13.7 inches wide.
Therefore, since the laptop is wider than the case, the laptop will not fit in the case.
I hope it helps you!
Take derivitive
note
the derivitive of sec(x)=sec(x)tan(x)
so
remember the quotient rule
the derivitive of
so
the derivitive of
so now evaluate when t=pi
we get
sec(pi)=-1
tan(pi)=0
we get
slope=1/pi
use slope point form
for
slope=m and point is (x1,y1)
equation is
y-y1=m(x-x1)
slope is 1/pi
point is (pi,1/pi)
y-1/π=1/π(x-π)
times both sides by π
πy-1=x-π
πy=x-π+1
y=(1/π)x-1+(1/π)
or, alternately
-(1/π)x+y=(1/π)-1
x-πy=π-1
note
the derivitive of sec(x)=sec(x)tan(x)
so
remember the quotient rule
the derivitive of
so
the derivitive of
so now evaluate when t=pi
we get
sec(pi)=-1
tan(pi)=0
we get
slope=1/pi
use slope point form
for
slope=m and point is (x1,y1)
equation is
y-y1=m(x-x1)
slope is 1/pi
point is (pi,1/pi)
y-1/π=1/π(x-π)
times both sides by π
πy-1=x-π
πy=x-π+1
y=(1/π)x-1+(1/π)
or, alternately
-(1/π)x+y=(1/π)-1
x-πy=π-1