Answer:
The height is 12.9m
Step-by-step explanation:
First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
h² = s1² + s2²
h² = 10² + 20²
h² = 100 + 400
h² = 500
h = √500
h = 22.36
Now that we know this measurement we can calculate the height of the flagpole
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 30
a: adjacent = 22.36
o: opposite = ?
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan 30 = o/22.36
tan30 * 22.36 = o
12.9 = o
The height is 12.9m
Answer:
<em>We disagree with Zach and Delia and agree with Alicia</em>
Step-by-step explanation:
The domain of a function is the set of values of the independent variable that the function can take according to given rules or restrictions.
The range is the set of values the dependent variable can take for every possible value of the domain.
The graph shows a continuous line representing the values of the function. We must take a careful look to the values of x (horizontal axis) where the function exists. It can be done by drawing an imaginary vertical line passing through the value of x. If that line touches the graph of the function, it belongs to the domain. It's clear that every value of x between -5 and 3 (both inclusive because there are solid dots in the extremes) belong to the domain:
Domain: 
The range is obtained in a similar way as the domain, but the imaginary lines must be horizontal. That gives us the values of y range from -7 to 5 both inclusive:
Range:

Thus we disagree with Zach and Delia and agree with Alicia
Answer:
13.1
Step-by-step explanation:
Finding mean in data set is finding the average. The way to find the average is by adding all the data in the set (the # of movies watched), then divide them by how many numbers are in the data set (7).
16+13+19+16+8+10+10=92
After you add the data in the set, you have to divide it by the pieces of data there is.
So 92/7=
13.1428571
<u />
If you round 13.142...to the nearest tenth, you get <u>13.1.</u>
Answer:

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.
For the intercept of 135 represent the amount initial amount of weight for the scale.
Step-by-step explanation:
We assume that they use least squares in order to create the regression equation
For this case we need to calculate the slope with the following formula:
Where:
With these we can find the sums:
And the slope would be:
The means for x and y are given by:
And we can find the intercept using this:
For this case we know that the line adjusted is:

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.
For the intercept of 135 represent the amount initial amount of weight for the scale.
The answer to the questing is 36