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SOVA2 [1]
3 years ago
12

Taylor saw an American alligator at a zoo that measured Ask Your Teacher feet long. The record length of an American alligator i

s Ask Your Teacher feet long. How much longer is the record alligator than the alligator Taylor saw?
Mathematics
1 answer:
lianna [129]3 years ago
4 0

Answer:

The record alligator is 6\frac{1}{4} feet longer than the alligator Taylor saw.

Step-by-step explanation:

Taylor saw an American alligator at a zoo that measured 12\frac{11}{12} feet long. The record  length of an American alligator is 19\frac{1}{6} feet long. How much longer is the record  alligator than the alligator Taylor saw?

For this first convert the mixed fraction into an improper fraction.

12\frac{11}{12}=\frac{155}{12}

19\frac{1}{6}=\frac{115}{6}

Now subtract \frac{155}{12} from \frac{115}{6}.

\frac{115}{6}-\frac{155}{12}=\frac{75}{12}=6\frac{1}{4}

Hence, the record alligator is 6\frac{1}{4} feet longer than the alligator Taylor saw.

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HELP ASAP FOR BRAINLIEST!
salantis [7]

Answer:

  1. make sure calculator is in "radians" mode
  2. use the cos⁻¹ function to find cos⁻¹(.23) ≈ 1.338718644

Step-by-step explanation:

A screenshot of a calculator shows the cos⁻¹ function (also called arccosine). It is often a "2nd" function on the cosine key. To get the answer in radians, the calculator must be in radians mode. Different calculators have different methods of setting that mode. For some, it is the default, as in the calculator accessed from a Google search box (2nd attachment).

__

The third attachment shows a graph of the cosine function (red) and the value 0.23 (dashed red horizontal line). Everywhere that line intersects the cosine function is a value of A such that cos A = 0.23. There are an infinite number of them. You need to know about the symmetry and periodicity of the cosine function to find them all, given that one of them is A ≈ 1.339.

The solution in the 4th quadrant is at 2π-1.339, and additional solutions are at these values plus 2kπ, for any integer k.

__

Also in the third attachment is a graph of the inverse of the cosine function (purple). The dashed purple vertical line is at x=0.23, so its intersection point with the inverse function is at 1.339, the angle at which cos(x)=0.23. The dashed orange graph shows the inverse of the cosine function, but to make it be single-valued (thus, a <em>function</em>), the arccosine function is restricted to the range 0 ≤ y ≤ π (purple).

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So, the easiest way to answer the problem is to use the inverse cosine function (cos⁻¹) of your scientific or graphing calculator. (<em>Always make sure</em> the angle mode, degrees or radians, is appropriate to the solution you want.) Be aware that the cosine function is periodic, so there is not just one answer unless the range is restricted.

__

I keep myself "unconfused" by reading <em>cos⁻¹</em> as <em>the angle whose cosine is</em>. As with any inverse functions, the relationship with the original function is ...

  cos⁻¹(cos A) = A

  cos(cos⁻¹ a) = a

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3 years ago
The value of b when solving the equation 2 (6 + 12) = 16 is:
elena-s [515]

Answer:

Step-by-step explanation:

2(6+12)=16

2 X 6 +  2  X  12

12     +     24

       26  =  16

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