Answer:
56
Step-by-step explanation:
Let u=x^3
the original equation becomes: u^2-9u+8=0
factor this quadratic equation: (u-8)(u-1)=0
u=8, or u=1
that means x^3=8 or x^3=1
x=2 x=1
Total money spent is $11425 buying 75 animals
each chicken costs $65 so 50 costed the farmer $3250
each cow costs $45 so 15 cows costed the farmer $675
ducks purchased were 10
to find how much the ducks costs we will add the money spent the farmer and subtract it from the total amount spent.
11425-3250-675=$7500
10 ducks = $7500
so one duck costs 7500/10=$750
the price for each duck is $750
Answer:
25. If you look at angle B from the first figure you see a square that indicates a 90 degrees angle, thus the figure shown is a right triangle. You can also see that angle C is said to have 60 degrees. a right triangle has a total angle of 180 degrees. so, 180 - 90 - 60 = 30 degrees. Therefore, angle A is 30 degrees.
27. Now you want the measure of the hypotenuse, and you know this a right triangle. so, simply use the law of sines to find the measure of AC :
4cm/sin(60) = AC/Sin90
AC = 4.62 cm
29. angle z is in the other figure and same stuff, just substract the angles, you have 90 degrees and 30 degrees... 180 - 90 - 30 = 60 degrees
31. Angle Y = 90 degrees
this value is already given, it's the little square that indicates a 90 degrees angle.
26. 5 cm
28. 90 degrees
30. You already found AC, use the pythagorean theorem. sqrt((4.62)^2 - 4^2) = 2.31 cm
32. use pythagoras again, square root(5^2 - 3^2) = 4
So as you can see all the measurements are the same because if you see at the very top of your figures it says ABC = XYZ which means pretty much that they have the same values (notice that there is a little something added to the = sign, watch out for that because that's what indicates that two figures are equal in terms of angles and measures.
Answer:
Housing is a categorical variable
Step-by-step explanation:
Housing. i.e where the horses stay. have an effect on the investigative factors ( diet and environment )that the horses will be exposed to
Housing is a categorical variable because it has more than one categories ( stall, small paddock, large paddock , pasture ) attached to it without any form of intrinsic ordering attached to it
