Answer:
5÷4=1,25
each puppy will get 1,25 pound of dry dog food.
Answer:
Four billion, two-hundred seventy five thousand.
Step-by-step explanation:
![M=\left[\begin{array}{ccc}1&-1/f_2\\0&1\end{array}\right] \left[\begin{array}{ccc}1&0\\d&0\end{array}\right] \left[\begin{array}{ccc}1&-1/f_1\\0&1\end{array}\right]\\=\left[\begin{array}{ccc}1&-1/f_2\\0&1\end{array}\right]\left[\begin{array}{ccc}1&-1/f_1\\d&-d/f_1\end{array}\right]\\=\left[\begin{array}{ccc}1-d/f_2&-1/f_1+d/f_1f_2\\d&-d/f_1\end{array}\right]\\\\|M|=[-d/f_1+d^2/f_1f_2]-[-d/f_1+d^2/f_1f_2]=0\\\\-1/f=M_{12}=-1/f_1+d/f_1f_2\\1/f=M_{12}=+1/f_1-d/f_1f_2\\](https://tex.z-dn.net/?f=M%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_2%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5Cd%260%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_1%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_2%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_1%5C%5Cd%26-d%2Ff_1%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1-d%2Ff_2%26-1%2Ff_1%2Bd%2Ff_1f_2%5C%5Cd%26-d%2Ff_1%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%7CM%7C%3D%5B-d%2Ff_1%2Bd%5E2%2Ff_1f_2%5D-%5B-d%2Ff_1%2Bd%5E2%2Ff_1f_2%5D%3D0%5C%5C%5C%5C-1%2Ff%3DM_%7B12%7D%3D-1%2Ff_1%2Bd%2Ff_1f_2%5C%5C1%2Ff%3DM_%7B12%7D%3D%2B1%2Ff_1-d%2Ff_1f_2%5C%5C)
(-2+3)/(6+4)= 1/10
y+3=1/10(x + 4)
y + 3 = (1/10)x + 4/10
y + 30/10 = ( 1/10)x + 4/10
y = (1/10)x + 4/10 - 30/10
y = (1/10)x - 26/10
y = (1/10)x - 13/5
10(y = (1/10)x - 13/5)
10y = x - 26
-x + 10y = -26
Answer:
cos ∅ = 80/89
Step-by-step explanation:
As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .
Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.
The question requested us to find the ratio that represent the cosine of ∠U.
The ∠U is represented as ∅ .
Therefore,
cos ∅ = adjacent/hypotenuse
adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.
hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.
cos ∅ = adjacent/hypotenuse
cos ∅ = 80/89