From the law of sines, we have:

,
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:

, thus

.
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.
So first find a common denominator which is 100 in this question. Then change 5/10 into a denominator of 100 which is 50/100 you don't have to change 9/100 because it has a denominator of 100. So then add the fractions and the answer is 59/100
Answer:
30x^7y^4
Step-by-step explanation:
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Answer:
3
Step-by-step explanation:
look at where the points at
The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>
<em><u>Recall:</u></em>
Volume of a spherical shape = 
Volume of a rectangular prism = 
<em><u>Given:</u></em>
Diameter of basketball = 9.5 in.
Radius of the ball = 1/2 of 9.5 = 4.75 in.
Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)
Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft
- First, find the volume of the basketball:
Volume of ball = 
Volume of basketball = 
- Convert to


<em>Therefore,</em>
- Volume of basketball =

- Find the volume of the office (rectangular prism):
Volume of the office = 
- Number of basket ball that will fill the office = Volume of office / volume of basketball
Number of basket ball that will fill the office = 
Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.
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