Answer:
And if we solve for y we got:
And replacing we got:
And we got:
And for x we got:
So then the length would be 76 and the width we got 12.5
Step-by-step explanation:
For this case we have a rectangle. The perimeter is given by:
Where x represent the length and y the the width. We can set the following conditions:
And if we replace the conditions we got:
And if we solve for y we got:
And replacing we got:
And we got:
And for x we got:
So then the length would be 76 and the width we got 12.5
Answer:
(A)6
Step-by-step explanation:
Given the quadratic expression: 
We factorize:
Therefore, the missing number that will complete the factorization is 6.
Answer:
Sample response: The Smith family has 2 choices to make, color
and style. By the fundamental counting principle, the product of the
number of choices of color and style must equal 8. So, there could be 1
color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles,
or 8 colors and 1 style.
Step-by-step explanation:
Answer: Time t = 33.0 seconds
Step-by-step explanation:
Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function
H(t) = 5cos( 2π/3 t) − 35.5H
Where the maximum vertical distance = 5
At the down position, H(t) = 0
5cos( 2π/3 t) − (35.5/100)H = 0
5cos( 2π/3 t) − 0.355 × 5 =0
5cos( 2π/3 t) − 0.1775 = 0
5cos( 2π/3 t) = 0.1775
cos( 2π/3 t) = 0.1775/5
cos( 2π/3 t) = 0.355
2π/3 t = cos^-1 (0.355)
2π/3 t = 69.2
2πt = 69.2 × 3
2πt = 207.6
t = 207.6/2π
t = 33.0 seconds
Answer:
251 inches
Step-by-step explanation:
c = 2πr
c = 2(3.14)(5) = 31.4
31.4 x 8 rev. = 251 inches
