Find the value of x (sines and cosines)
1 answer:
You would begin by choosing which trigonometric function to use.
In this case, you would use sine.
Sine is opposite over hypotenuse.
Opposite of the 35 degree angle is 18, and you want to find the hypotenuse which is x.
sin(35) =
(multiply x to both sides)
x sin(35) = 18 (divide sin(35) to both sides)
x = 31.38204...
So, therefore x = 31.38. I don't know what decimal point you're supposed to round to, so I'm gonna guess the hundredths place. :)
In this case, you would use sine.
Sine is opposite over hypotenuse.
Opposite of the 35 degree angle is 18, and you want to find the hypotenuse which is x.
sin(35) =
x sin(35) = 18 (divide sin(35) to both sides)
x = 31.38204...
So, therefore x = 31.38. I don't know what decimal point you're supposed to round to, so I'm gonna guess the hundredths place. :)
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Answer:
0.2857
Step-by-step explanation:
The probability of interest is the area under the probability density curve between the z-values associated with the temperature limits of interest.
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The first attachment shows a "sketch" of the distribution and the area of the portion of interest. (It also shows the probability as 0.2858.)
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The second attachment shows the table values of interest for this problem. The z-values that we want to look for in the table are ...
z1 = (0.50° -0°)/1.00° = 0.50
and
z2 = (2.00° -0°)/1.00° = 2.00
The area of the probability density function to the left of each of these z-values is given in the table, so the area between them is the difference of table values:
0.9772 -0.6915 = 0.2857
The probability of a reading between 0.50 and 2.00 is about 0.2857.
The linear equation B. y = -x +7.5 best describes the given model. The mood rating for a student that spent 5.5 hours online would be 2.
Step-by-step explanation:
Step 1; We plot the points that fall on the line and that lie on an exact x or y coordinate. The following 4 points are plotted (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4). We substitute the values of x in the given equations to see which best describes the model.
Step 2; When y = x + 7.5, we get the coordinates as (0.5, 8), (2, 9.5), (2.5, 10) and (3.5, 11).
When y = -x + 7.5, the coordinates are (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4).
When y = + 7.5, the coordinates are (0.5, 7.25), (2, 6.5), (2.5, 6.25) and (3.5, 5.75).
So equation 2 has the closest values to the actaul graph.
Step 3; By substituting x = 5.5, y = -(5.5) + 7.5 = 7.5 - 5.5 = 2.
ANSWER
The product is
EXPLANATION
To find the product of
and
means we should multiply the two fractions.
We multiply to obtain,
Cancel the common factors:
Now, multiply the numerators separately and the denominators too separately.
This simplifies to,