Answer:
Approximately
.
Step-by-step explanation:
Convert the angle of this sector to radians:
.
The formula
relates the arc length
of a sector of angle
(in radians) to the radius
of this sector.
In this question, it is given that the arc length of this sector is
. It was found that
radians. Rearrange the equation
to find the radius
of this sector:
.
The perimeter of this sector would be:
.
Question: The area of a square is 324 square inches. What is the length of one side of the square?
The formula for finding area of squares is:
Length x Width
Squares have 4 sides, and all sides measure the same. If the area is 324 square units, that means the length and width are the same.
x X x=x2
X2=324
x squared(x²) is equal to 324. To find x, you have to do the opposite of squaring, which is finding the square root.
x2= 324 —> square root of 324=x
To find x, you have find the square root of 324.
Square root of 324 is 8
The length of one side is 18 inches
Check:
The formula for finding area is:
Length x Width
The length and width gotten was 18. Put that into the formula:
18 x 18
Multiply:
18 x 18= 324
That means the answer is correct. Your answer is 18 inches.
If you have any questions, feel free to ask in the comments! :)
Answer:
And rounded up we have that n=385
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can use as an estimator for p
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=385
Answer:
Depends on the type of rope but I would say feet
Step-by-step explanation:
Answer: AB will be parallel to A'B'.
Step-by-step explanation: We know the definition of dilation about the centre. It is defined as the enlargement or shrinken of the original figure keeping the centre of dilation or the figure as fixed.
We are given ΔUVW and AB is perpendicular to UW. Now, if we dilate the triangle about the origin, then the triangle will either enlarge or shrink keeping the centre fixed.
Let us consider the enlarged triangle, ΔU'V'W' as shown in the attached figure. Also, line AB will move to the new position A'B'. We can clearly see that both the lines are parallel to each other.
Thus, the line segments AB and A'B' will be parallel too each other.