Let x be her initial distance from the building, then tan 37 = 130/x
x = 130/tan 37 = 130/0.7536 = 172.5 feet
Let y be her distance from the building after moving forward, then
tan 40 = 130/y
y = 130/tan 40 = 130/0.8391 = 154.9
After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.
First substitute .5x in for y to get a solvable equation. You should get 6x+8(.5x)=30. Then multiply 8 times .5 to get 6x+4x=30. Then combine like terms (6x+4x) to get 10x=30 and divide both sides by 10 to get x=3. Then plug this x value (3) into the other equation (y=.5x) to find the value of y. Y=.5(3) so y=1.5. Therefore the answer is B.
46.2 dollars for the large necklaces and 14 dollars and seventy cents for the small necklaces therefore she will earn $60.9
Answer:
B. 2
Step-by-step explanation:
We have been given that a worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip.
Since worker has made 17 trips, so total number of hugs of liquid soap would be 17 times number of jugs carried per trip.
.
Since each carton holds 7 jugs, so number of cartoons would be 
.
We can see that there are 9 completely filled cartoons and there are 5 jugs remaining, so we need 
jugs.
Therefore, we need 2 jugs to fill the 10th cartoon and option B is the correct choice.
Answer:
yes it is rational number.
Step-by-step explanation:
