Answer:
0.471
Step-by-step explanation:
The mnemoic SOH CAH TOA reminds you that ...
... Sin = Opposite/Hypotenuse
... sin(S) = 32/68 ≈ 0.471
Answer:
There are <u>72 inches</u> in 6 feet.
Step-by-step explanation:
Given:
There are 12 inches in 1 foot.
Jada is working on improving her vertical jump.
Currently, her standing reach is 6 feet from the ground.
Now, to find the inches in 6 feet.
Let the inches in 6 feet be 
As given:
In 1 foot there are 12 inches.
<em>So, 1 foot is equivalent to 12 inches.</em>
<em>Thus, 6 feet is equivalent to </em>
<em />
Now, to find using cross multiplication method:
<em>By cross multiplying we get:</em>
So, the inches in 6 feet = 72.
Therefore, there are 72 inches in 6 feet.
Answer:
Tom’s age is 7 years
Mary’s age is 13 years
Step-by-step explanation:
Since we do not know the ages, let’s represent the ages by variables at first.
Let m represent mary’s age will t represent Tom’s age.
Now, let’s proceed to have equations.
Adding square of Tom’s age (t^2) to mary’s age give 62
t^2 + m = 62 •••••••(i)
Adding square of mary’s age (m^2) to Tom’s age give 176
m^2 + t = 176 •••••••(ii)
Now, to get the individual ages, we will need to solve both equations simultaneously.
Solving both equations simultaneously without mathematical softwares can be a little hard.
By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.
By inputing these equations, we have the values of t to be 7 and m to be 13
And if we try to check by inspection, we can see that these values are actually correct.
7^2 + 13 = 62
13^2 + 7 = 176
Answer:
5
Step-by-step explanation:
The radius is a distance on a circle from the center to a point on the circle.
We have both of these points describe here in this definition. Using the distance formula will give us the radius.
The difference between 1 and -3 is 1-(-3)=4.
The difference between 5 and 2 is 5-2=3.
Answer:
There are 15 letters, but if the two A's must always be together, that's the same as if they're just one letter, so our "base count" is 14! ; note that this way of counting means that we also don't need to worry about compensating for "double counting" identical permutations due to transposition of those A's, because we don't "count" both transpositions. However, that counting does "double count" equivalent permutations due to having two O's, two N's, and two T's, so we do need to compensate for that. Therefore the final answer is 14!/(23)=10,897,286,400
