geno3141

Turn each of the fractions into common fractions and multiply by the reciprocal.

For example:  2 3/4  ÷  5 1/3

  2 3/4  =  (2 x 4 + 3) / 4  =  11/4

  5 1/3  =  (5 x 3 + 1) / 3  =  16/3

11/4  ÷  16/3     =     11/4 x  3/16      =  33/64       (Multiply 11 x 3  and  4 x 16.)

This is an AAS (or SAA) triangle, so use the Law of Sines.  Since you want to find a side, use this form:

c/sinC  =  a/sinA

c/sin(67) = 12/sin(34)

c = 19.8

I have a really good calculator, and it tells me that 9 + 10  =  19.

When you say "3x to the 5th power" do you mean (3x)^5 or do you mean 3(x^5)?

If it is the first case, you would get 8·(3x)^5  =  8(3x)(3X)(3X)(3X)(3X)  =  1944X^5.

If it is the second case, you would get 8·3(x^5)  =  24x^5.

For my first answer, I didn't see the word "times"; I just added the two parts ...

Did you mean that -5a² was to be multiplied to -11a²?

-- If so, multiply -5 times -11 to get 55     and multiply a² times a² to get a^4, 

    for the answer  55a^4

15/12 x 5 x 1 x 1/2

=  15/12 x 5/1 x 1/1 x 1/2

Multiplying all the numerators together and all the denominators together:

=  75/24

Simplifying (dividing both the numerator and denominator by 3):

=  25/8

√-7  =  √-1 x √7

Rewriting  √-1  as i:

        = i √7

If you are dividing common fraction, multiply by the reciprocal:

14/33  ÷  70/11  =  14/33  x  11/70

See what you can cancel:  7  goes into both  14 (2 times)  and  70 (10 times):

=  2/33  x  11/10  

Now,  2  goes into both  2 (once) and into 10 (5 times):

=  1/33  x  11/5

And,  11 goes into both  11 (once)  and  33 (three times):

=  1/3  x  1/5

=  1/15

-5a² + -11a²      Since the variables are the same, both a², add their values:  -5 + -11  =  -16.

=  -16a² 

First question:  How many side lengths are known?  You know 2, a and b so go to the lower right.

Do you know the measure of one angle not between the sides?  Angle C is between the sides; angle A is not; the answer is Yes so drop down to the next question.

Is angle A >= 90?  Yes, it's 95, so drop to the right.

Is a > b? No, it's not, so drop to the left -- No triangle.