In ΔLMN, the measure of ∠N=90°, the measure of ∠M=13°, and LM = 6.5 feet. Find the length of MN to the nearest tenth of a foot.

Since all of the angles of a triangle add up to , we can use that to find .

Using SOHCAHTOA, we know that the sine of an angle is equal to the opposite side's length divided by the hypotenuse's length.

Find and round to the nearest tenth.

Multiply both sides by .

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

i am unable to solve this problem

step-by-step explanation: