In ΔJKL, the measure of ∠L=90°, JL = 24, LK = 7, and KJ = 25. What is the value of the sine of ∠K to the nearest hundredth?

sin K = 0.96

Step-by-step explanation:

Draw this triangle.  It becomes evident that the hypotenuse, JK, is 25, and we are told that LK = 7.  Side JL is 24.  We can (but do not have to) verify that 7² + 24² = 25².

Then sin K = opp / hyp = 24 / 25.  This comes out to 0.96, to the nearest hundredth.  (Actually, there's no rounding off yet, not until we determine the value of K.  On a calculator, type in arctan 0.96.  This is the desired "value of the sine of angle K to the nearest hundredth."

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98