ANSWER

EXPLANATION
The given angle is 870°.
870°-360°-360°=150°
This means that:
870° is coterminal with 150°, hence its terminal side is in the second quadrant.
It makes an acute angle of 30° with the x-axis.
Note that cotangent is negative in the second quadrant,
Hence,

The first option is correct.
Answer:

Step-by-step explanation:
Because the coordinates for x = 0 is (0,-2) so that's your y- intercept.
Then if you all you have to do is make sure that you have the correct slope.
So i just made a table on paper and started going up and seeing what slope i'd need to match the table on the screen.

Your answer would be y= 5x/-4 - 3/-4 because you’ll move 5x to the other side of the equal sign then divide -4 to get y by itself
Answer:
19.77% of average city temperatures are higher than that of Cairo
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What percentage of average city temperatures are higher than that of Cairo?
This is 1 subtracted by the pvalue of Z when X = 21.4.



has a pvalue of 0.8023
1 - 0.8023 = 0.1977
19.77% of average city temperatures are higher than that of Cairo
Answer:
The distance from the top of her head to the floor is 6 feet 2 inches.
Step-by-step explanation:
In his case Juana's height is given to us with two kinds of units, feet and inches, in order to make our solution easyer we will transform her height to only inches. In 1 feet we have 12 inches, so we need to take the part of her height that is given in feet and multiply it by 12. We have:
height = 4*12 + 8 = 56 inches
Since she is in a platform that is 18 inches tall the distance from the top of her head to the floor is her height plus the height of the platform. We have:
distance = height + platform = 56 + 18 = 74 inches
We can now transform back to a mixed unit, we do that by dividing the distance by 12 that will be the "feet" part and the res of the division will be the "inches" part. We have:
distance = 74/12 = 6 feet 2 inches
The distance from the top of her head to the floor is 6 feet 2 inches.