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.
10/3 bran flakes can make a dozen muffins
A recipe requires 2 1/2 cups of bran flakes
The recipe can make 9 muffins
Let's calculate the amount of bran flakes it will take to make 1 muffin
5/2 = 9
x= 1
cross multiply
9x= 5/2
x= 5/18
A dozen is 12, the number of bran flakes to make a dozen can be calculated as follows
5/18= 1
y= 12
cross multiply
y= 5/18 × 12
y= 10/3
Hence it will take 10/3 to make a dozen muffins
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Answer:
$1632
Step-by-step explanation:
Given data
Principal= $1200
Rate= 12%
Time= 3 years
The simple interest expression is given as
A= P(1+rt)
substitute
A=1200(1+0.12*3)
A=1200(1+0.36)
A=1200*1.36
A=$1632
Hence the amount is $1632
<u></u>
corresponds to TR. correct option b.
<u>Step-by-step explanation:</u>
In the given parallelogram or rectangle , we have a diagonal RT . We need to find which side is in correspondence with side/Diagonal RT of parallelogram URST .
<u>Side TU:</u>
In triangle UTR , we see that TR is hypotenuse and is the longest side among UR & TU . So , TR can never be equal in length to UR & TU . So there's no correspondence of Side TU with RT.
<u>Side TR:</u>
Since, direction of sides are not mentioned here , we can say that TR & RT is parallel & equal to each other . So , TR is in correspondence with side/Diagonal RT of parallelogram URST .
<u>Side UR:</u>
In triangle UTR , we see that TR is hypotenuse and is the longest side among UR & TU . So , TR can never be equal in length to UR & TU . So there's no correspondence of Side UR with RT.
