Answer:
Step-by-step explanation:
This is right triangle trig. The side opposite the x is 8, and the side adjacent to the x is 5. The tangent ratio uses those sides. We need to find what angle has a tangent of 8/5. To do this, make sure your calculator is in degree mode. Then hit "2nd" then tan and you will see tan with a little -1 and a parenthesis. Enter 8/5 and hit "enter" and you will get an angle measure of 57.9946. Rounded to the nearest degree this is 58 degrees. That's your answer!
Let x represent the smallest angle. Then the largest is 3x, and the remaining angle is 180-4x. The problem statement tells us
.. 3x > 180 -4x > x
Adding 4x gives us
.. 7x > 180 > 5x
or
.. 36 > x > 180/7 = 25 5/7
The angles, smallest to largest, are
.. x, 4(45 -x), 3x
where 25 5/7 < x < 36
The angles could be, for example, any of ...
.. 26°, 76°, 78°
.. 30°, 60°, 90°
.. 32°, 52°, 96°
.. 35°, 40°, 105°
and an infinite number of other possibilities.
Using the formula
ending amount is 1649=a
p=initial amount=100
t=10
r=r
so
1649=100e^{10r}
divide both sides by 100
16.49=e^{10r}
take ln of both sides
ln(16.49)=10r
divide both sides by 10
(ln(16.49))/10=r
use calculator
0.28027=r
about 28% interest
What's the equation with x? I can't solve it without knowing where to find x....
First find the volume of the box: 8•4•4.5=144 cubic inches.
8 of the 1/8 inch=1 of the 1 cubic inch
He could do 144 and 0
143 and 8
142 or 16
Or just keep following the pattern... Hope that helped
