Answer:
5 sq. ft.
Step-by-step explanation:
To find the area of a rectangle, use this formula: A = lw.
Because you know two side lengths of the window, you can just plug in the numbers to the formula.
But not yet! You need to convert the given lengths into feet first.
You know that there are 12 inches in 1 foot.
So:
24 inches ÷ 12 inches/foot = 2 feet
30 inches ÷ 12 inches/foot = 2.5 feet
Alright, now you can plug in these lengths into the formula.
A = (2) (2.5) = 5 sq. ft.
The question asks you to round, but there is nothing to round, so you are done here.
One of the major advantage of the two-condition experiment has to do with interpreting the results of the study. Correct scientific methodology does not often allow an investigator to use previously acquired population data when conducting an experiment. For example, in the illustrative problem involving early speaking in children, we used a population mean value of 13.0 months. How do we really know the mean is 13.0 months? Suppose the figures were collected 3 to 5 years before performing the experiment. How do we know that infants haven’t changed over those years? And what about the conditions under which the population data were collected? Were they the same as in the experiment? Isn’t it possible that the people collecting the population data were not as motivated as the experimenter and, hence, were not as careful in collecting the data? Just how were the data collected? By being on hand at the moment that the child spoke the first word? Quite unlikely. The data probably were collected by asking parents when their children first spoke. How accurate, then, is the population mean?
Answer:(6,-1)
Explanation:The slope of the line can be calculated using the following formula:
slope =
We are given that:slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):slope =
= -0.75 ........> accepted choice
For point (2,8):slope =
= 0.75 ........> rejected choice
For point (-5,1):slope =
= 4/3 ........> rejected choice
For point (1,1):slope =
= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
Answer:
1.) ≈ 3.652
2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.
Step-by-step explanation:
I think we may have the same class so hopefully this helps:
1.) --> law of cosines formula.
--> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.
--> in between steps.
--> more simplifying.
--> answer
2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.
Good luck! :)