9514 1404 393
Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
Answer:
x = 13.5
BC = 30
Step-by-step explanation:
BC is double the length of DE. And we know that DE is equal to 15. So 15 x 2 is 30.
Now to find x. We know that our answer has to add up to 30. So we first subtract 3 from 30 to get 27. Then divide 27 by 2 to get what x is equal to. x = 13.5
The bank that offers compound interest should get Riley more money.
let's assume he puts 10,000 in each account, and he is saving for 10 years.
the account that gives him simple interest will give him .045 * 10,000 * 10 = 4500 in interest, which gives him a total of 14,500 at the end of 10 years.
the account that gives him annual compound interest will give him 10,000 * 1.045 ^ 10 = 15,529.69422 at the end of the 10 years.
the difference is that he is earning interest on his interest in the annual compound account, while he is only earning interest on his principal in the simple interest account.
Hope this helps. Good luck !!
First, distribute 2 to all terms within the parenthesis
2(4x + 5) = 8x + 10
8x + 10 > 7x + 20
Isolate the x. Treat the > like a equal sign. Subtract 7x and 10 from both sides
8x (-7x) + 10 (-10) > 7x (-7x) + 20 (-10)
Simplify
8x - 7x > 20 - 10
x > 10
x > 10 is your answer
hope this helps
