The minute hand would go all around the clock so it rotates 360 degrees ending up in the same place as where it started.
the hour hand would move from 12 to 1, so it rotates 30 degrees.
The value of the product 5/9 × 1/5 is 1/9
<h3>How to determine the product?</h3>
The expression is given as:
5/9 × 1/5 =
Cancel out the common factors
5/9 × 1/5 =1/9 * 1/1
Evaluate the product
5/9 × 1/5 =1/9
Hence, the value of the product 5/9 × 1/5 is 1/9
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3(2) (3) on top. Because 3x3 is 9
Answer:
g(x)= (1/6)x+5/6 is the inverse function of f(x)
Step-by-step explanation:
We have y= 6x-5
Then, we take x depending on y like:
6x-5=y
6x-5 +5 = y + 5
6x= y+5
6x/6=y/6 + 5/6
x= y/6+ 5/6
Now, we replace x by the function g(x) and y by the variable x, then we have
g(x)= (1/6)x+5/6 is the inverse function of f(x).
Hope that you understand.
The height of the right triangle is 8.08
<h3>Calculating the height of a triangle </h3>
From the question, we are to determine the height of the described right triangle
From the given information,
The angle measure is 30 degrees adjacent to the base
and
The base is 14
Using SOH CAH TOA
Adjacent = 14
Opposite = height of the triangle
Let the height the h
∴ Opposite = h
Thus,
tan 30° = h/14
h = 14 × tan 30°
h = 8.08
Hence, the height of the right triangle is 8.08
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