Answer:
1)
, 2)
, 3) ![x = 31\,mi](https://tex.z-dn.net/?f=x%20%3D%2031%5C%2Cmi)
Step-by-step explanation:
The actual distances are computed below:
1) The actual distance is:
![x = \frac{3\,in}{1\,in}\times 10\,mi](https://tex.z-dn.net/?f=x%20%20%3D%20%5Cfrac%7B3%5C%2Cin%7D%7B1%5C%2Cin%7D%5Ctimes%2010%5C%2Cmi)
![x = 30\,in](https://tex.z-dn.net/?f=x%20%3D%2030%5C%2Cin)
2) The actual distance is:
![x = \frac{7.5\,in}{1\,in}\times 10\,mi](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B7.5%5C%2Cin%7D%7B1%5C%2Cin%7D%5Ctimes%2010%5C%2Cmi)
![x = 75\,mi](https://tex.z-dn.net/?f=x%20%3D%2075%5C%2Cmi)
3) The actual distance is:
![x = \frac{3.1\,in}{1\,in}\times 10\,mi](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3.1%5C%2Cin%7D%7B1%5C%2Cin%7D%5Ctimes%2010%5C%2Cmi)
![x = 31\,mi](https://tex.z-dn.net/?f=x%20%3D%2031%5C%2Cmi)
Let, the numbers are: x, (x+2), (x+4)
Now, x+x+2+x+4 = -27
3x + 6 = -27
3x = -33
x = -11
So, (x+2)=-11+2 = -9, (x+4) = -11+4 = -7
In short, Your Final answer would be -7,-9 and -11
Hope this helps!
Answer: B: 0.81 miles
Step-by-step explanation:
The find the total distance, you must look for firs the missing side. To get use the formula that is derived from the Pythagorean theorem which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
The formula for this is: a^2 + b^2 = c^2
So let the first side or a be .19
and the second side be .28
and now we are looking for c which is the missing side
.19^2 + .28^2 = c^20.0361 + 0.784 = .1145
get the square root of .1145
√.1145 = it is approximately 0.34
get the total distance by adding three sides
= .34 + .19 + .28
= 0.81
If the terminal ray of an angle passes through (-5, -3), that means it passes through x coordinate -5 and y coordinate -3. Both x and y are negative in only one quadrant and that is the third one. If we plot the point (-5, -3) in the coordinate plane in Q3, and then draw a vertical line to connect that point to the negative x axis and then draw a line to connect that point to the origin, what we have created is right triangle with a base of -5 and a height of -3. The tangent ratio relates the side opposite the reference angle to the side adjacent to the reference angle. We have both of those measures already and do not have a need for the length of the hypotenuse since the tangent ratio doesn't use it. The tangent of the reference angle is -3/-5 which is 3/5.
Answer:
Step-by-step explanation:
Estimation, 11. ... State the mean and variance of the sampling distribution of the mean ... distribution of the mean is the population variance divided by N, the sample ... (optional) This expression can be derived very easily from the variance sum ... The standard error is represented by a σ because it is a standard deviation.