Answer:
81
Step-by-step explanation:
The numbers divisible by 6 between 41 and 523 are:
42,48,54,.....,522
We can clearly see that the first term that is a=42,
Common difference that is d=6
And
We will use the formula
On substituting the values we get
Hence, there are 81 multiples of 6 between 41 and 523.
Answer:
Solution using the Empirical Rule, which is explained here.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The question is incomplete, but you solve this using the Empirical Rule.
The trig ratios are a set of numbers that are properties
of every angle.
When the angle is in a right triangle, they can be defined
like this:
Sine (sin) of the angle: (opposite leg) divided by (hypotenuse)
Cosine (cos) of the angle: (adjacent leg) divided by (hypotenuse)
Tangent (tan) of the angle: (opposite leg) divided by (adjacent leg)
Cotangent (cot) of the angle: (adjacent leg) divided by (opposite leg)
Secant (sec) of the angle: (hypotenuse) divided by (adjacent leg)
Cosecant of the angle: (hypotenuse) divided by (opposite leg).
The size of the right triangle doesn't matter, only the ratios of
pairs of sides. That will always be the same number for the
same angle, no matter how big or small the triangle is.
There's no easy way to calculate the numbers for an angle.
You just have to look them up, using tables in books, or online
(try 'cosine 29' on Google), or on most hand-calculators.
First find the secant line. The slope of the secant line through
(when
) and
(when
) is the average rate of change of
over the interval
:
The tangent line to
will have a slope determined by the derivative:
Both the secant and tangent will have the same slope when
, or when
.
Answer:
102 pencils
Step-by-step explanation:
1122÷11=102