Answer:
a) the ratio is 9:4
b) Hilda did save $16.
Step-by-step explanation:
Let's define the variables:
C = Cheryl's savings.
H = Hilda's savings.
We know that:
(1/3)*C = (3/4)*H
We also know that Cheryl saved $36, then we have:
C = $36
Now we can replace that in the above equation to get:
(1/3)*$36 = (3/4)*H
$12 = (3/4)*H
$12*(4/3) = H = $16
Then Hilda did save $16.
And the ratio between of Cheryl's savings to Hilda's savings is:
36 : 16
We can simplify this if we divide both by 2.
(36/2) : 16/2
18 : 8
Again, we can divide both by 2:
(18/2) : (8/2)
9 : 4
Then the ratio is 9 : 4
2 sin² x - sin x - 1 = 0
u = sin x ( substitution )
2 u² - u - 1=0
2 u² - 2 u + u - 1 = 0
2 u ( u - 1 ) + ( u - 1 ) = 0
( u - 1 ) + ( 2 u + 1 ) = 0
( sin x - 1 ) ( 2 sin x + 1 ) = 0
sin x - 1 = 0 or: 2 sin x + 1 = 0
sin x = 1 sin x = -1/2
x 1 = π/2 + 2 kπ x 2 = 7π/6 + 2 kπ, x 3 = - π/6 + 2 kπ, k ∈ Z
k ∈ Z
So hmm check the picture below
solve for DF
<span>A(k)=2(k-1)-4
The parenthesis mean that it is subscript
the next term is
2(180)-4=356</span>