^ { (5x ^ { 3 } -7x ^ { 2 } +3x-4)-(8x ^ { 3 } +2x ^ { 2 } +3x-7) }
1 answer:
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See the attached figure to better understand the problem
we know that
in the triangle BCD
y²+5.66²=z²-------> y²=z²-5.66²------> equation 1
in the triangle ABC
y²+5.66²=x²-------> y²=x²-5.66²------> equation 2
equals 1 and 2
z²-5.66²=x²-5.66²--------> z²=x²---------> z=x
if z=x then
angle A=45°
angle D=45°
in the triangle ABD
cos 45=z/(5.66*2)-------> z=11.32*cos 45-----> 11.32*√2/2----> 8
z=8
x=8
y²=z²-5.66²------> 8²-5.66²-----> y²=31.96------> y=5.65
the answer is
the value of x is 8
the value of z is 8
the value of y=5.65
we know that
in the triangle BCD
y²+5.66²=z²-------> y²=z²-5.66²------> equation 1
in the triangle ABC
y²+5.66²=x²-------> y²=x²-5.66²------> equation 2
equals 1 and 2
z²-5.66²=x²-5.66²--------> z²=x²---------> z=x
if z=x then
angle A=45°
angle D=45°
in the triangle ABD
cos 45=z/(5.66*2)-------> z=11.32*cos 45-----> 11.32*√2/2----> 8
z=8
x=8
y²=z²-5.66²------> 8²-5.66²-----> y²=31.96------> y=5.65
the answer is
the value of x is 8
the value of z is 8
the value of y=5.65
<u>Part a)</u> Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime
Let
E-------> the amount of money earned
x------> number of hours worked
we know that
For
therefore
<u>the answer part a) is</u>
<u>Part b) </u>Create an equation that shows the amount of wages earned, T, for working y hours of overtime
Let
T-------> the amount of money earned
y------> number of hours of overtime
we know that
therefore
<u>the answer part b) is</u>
<u>Part c)</u> Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?
we know that
Divide by
----> to obtain the hours of overtime
So
Allison works
therefore
<u>the answer part c) is</u>