We have to use the rule of cosx° to solve this problem. Attached is a diagram of the navigator's course for the plane. It is similar to the shape of a triangle. We know the plane is 300 miles from its destination, so that will be one of the sides. On the current course, it is 325 miles from its destination, so that will be another one of the sides. The last side is 125 because that is the distance between the destination and the anticipated arrival. Cosx° is what we are looking for.
To find how many degrees off course the plane is, we must use the rules of Cosx°, which is shown in the attached image.
The plane is approximately 23° off course.
Hello!
The mean is the average. To calculate it you add up all the numbers, and divide by how many numbers there were. So for example, if you had 1 and 3, you would add them and divide by two since there were two numbers. We will calculate the mean of this data set below.
(11+21+16+7+10)=65
65/5=13
The mean of the data set is 13.
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Now we need to find the median. To do so we have to first order all of the numbers from least to greatest.
7,10,11,16,21
Now we have to find the number in the middle of the data set.
11 is our median. (Note that when calculating the median with an even number of data points, you will find the mean of the two center numbers)
I hope this helps!
Answer and step-by-step explanation:
We learn that (a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
So in this case, it would be:
= x^3 + (3*x^2*2) + (3*x*2^2) + 2^3
= x^3 + 6x^2 + 3x * 4 + 8
= x^3 + 6x^2 + 12x + 8
This is the standard form of the equation
Hope it help you :3
The quotient of a number t and 7, plus 2, is -4 ?
t/7 +2 = -4
Answer:
36
Step-by-step explanation:
Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.
Given that f(x) is 72 when the value of x is 6.
This implies, \[72 = k * 6\]
Simplifying and rearranging the equation to find the value of k:
k = \frac{72}{6}
Hence k = 12
Or, \[f(x) = 12 * x\]
When x = 3, \[f(x) = 12 *3 \]
Or in other words, the value of f(x) when x=3 is 36
