Answer:
Step-by-step explanation:
sinθ = 63/√(16² + 63²) = 63/65
cosθ = 16/65
Well, luckily it is apparent that (x-1) is a root because when x=1 the equation is equal to zero. So we can divide the equation by that factor to find the other roots.
(2x^3+9x^2+4x-15)/(x-1)
2x^2 r 11x^2+4x-15
11x r 15x-15
15 r 0
(x-1)(2x^2+11x+15)=0
(x-1)(2x^2+6x+5x+15)=0
(x-1)(2x(x+3)+5(x+3))=0
(x-1)(2x+5)(x+3)=0
So the roots are x= -3, -2.5, 1
Answer:
Sam should have bought 3.09 yards of fabric instead of 2.4 yards
So, Option D is correct.
Step-by-step explanation:
Total fabric needed by Sam = 2.75
According to directions on a sewing pattern they say to buy an extra 12.5%
So, extra fabric would be: 12.5% of 2.75
Solving

Now adding 0.343 into 2.75 to get extra fabric quantity:
2.75+0.343
=3.09
Therefore Sam should have bought 3.09 yards of fabric instead of 2.4 yards
So, Option D is correct.
Answer:
9 bathrooms
Step-by-step explanation:
9 is their greatest common factor.
give each bathroom 1 bar of soap and 2 toilet paper rolls
Answer:
Step-by-step explanation:
So the table means that there are 20 1's, 120 2's, 40 3's, and 20 4's.
The total number is 20+120+40+20 = 200.
So the probability of each is:
1: 20/200 = 0.10
2: 120/200 = 0.60
3: 40/200 = 0.20
4: 20/200 = 0.10