Betty has 20 yards of fabric. She uses 1/4 of the fabric to make curtains. How many yards of fabric does she use to make curtains?

5 yards

Step-by-step explanation:

We are given the following information: Betty has 20 yards of fabric and only used 1/4th of it to make curtains. How many yards were used?

To solve this problem, simply multiply 20 by 1/4.

Betty used 5 yards of fabric to make curtains.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3