Answer:
50
Step-by-step explanation:
In a right angled triangle :
Ratio of the leg Adjacent an angle to the hypotenus can be obtained using the Cosine trigonometric ratio
For an angle of 23° and and adjacent leg of 46
Cos 23 = adjacent / hypotenus
Adjacent / hypotenus = 0.92
46 / hypotenus = 0.92
Hypotenus = 46 / 0.92
Hypotenus = 50
The answer for this is Substitution property
Substitution Property is considered as one of the most intuitive of the mathematical properties that you'll probably encounter. You may have been using substitution without even knowing it. This property says that if x=y, then in any true equation involving y, you can replace y with x, and yet you'll still have a true equation.
Take a look at the attached example shown below.



with that template in mind.
![\bf f(x)=\sqrt[3]{x}\qquad \boxed{-f(x+2)+4}\implies f(x)=\stackrel{A}{-1}\sqrt[3]{\stackrel{B}{1}x\stackrel{C}{+2}}\stackrel{D}{+4}\qquad \\\\\\ f(x)=-\sqrt[3]{x+2}+4](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D%5Cqquad%20%5Cboxed%7B-f%28x%2B2%29%2B4%7D%5Cimplies%20f%28x%29%3D%5Cstackrel%7BA%7D%7B-1%7D%5Csqrt%5B3%5D%7B%5Cstackrel%7BB%7D%7B1%7Dx%5Cstackrel%7BC%7D%7B%2B2%7D%7D%5Cstackrel%7BD%7D%7B%2B4%7D%5Cqquad%20%0A%5C%5C%5C%5C%5C%5C%0Af%28x%29%3D-%5Csqrt%5B3%5D%7Bx%2B2%7D%2B4)
A = -1, reflected over the x-axis
B = 1, C = 2, horizontal shift of C/B or 2, to the left.
D = 4, shifted upwards by 4 units.
check the picture below.
Answer:
1.125 lb, or 1 1/8 lb
Step-by-step explanation:
Multiply 18 oz by the conversion factor 1 lb / 16 oz:
18 oz 1 lb
------------ * ------------- = 1.125 lb, or 1 1/8 lb
1 16 oz
Convert it into an improper fraction. Find your common denominator then subtract. If this doesn’t help let me know.