Atriangle has side lengths 6, 7, and b, and the angle between the sides of lengths 6 and 7 measures 60 degress. if a si the area of the triangle and b is the integer closet b, find the value of a/b.

Step-by-step explanation:

We have cosine formula

           c² = a² + b² - 2ab cosC

Here

          c = B

          a = 6

          b = 7

          C = 60°

Substituting

          B² = 6² + 7² - 2 x 6 x 7 cos60

          B² = 43

          B = 6.56

           b = 7 closest integer to B.

Given that A is area of triangle

          A=0.5absinC

          A = 0.5 x 6 x 7 x sin60 = 18.19

We need to find

The value of A/b is 2.60      

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

y=x+9

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step-by-step explanation: