Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
kids surf the internet for 35-60 minutes per day, the average is 52
Answer:
Scale factor, K = -1/4
Step-by-step explanation:
Dilation of any image changes its size and the shape remains same.
The scale factor is the ratio of dilated image to original image.
Dilation rule: (x, y) → (kx, ky), where k is the scale factor.
It means k = x₂/x₁ or y₂/y₁
K = -5/20 = -1/4 or K = -4/16 = -1/4.
<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>
Hence the scale factor is K = -1/4.
Answer:
option A
Step-by-step explanation:
given,
the bank branch is offering $1,000 certificates of deposit.
Rate of interest per year = 4 % = 0.04
The bank is selling certificates with terms of 1, 2, 3, or 4 years
total amount = A , in dollar
time of investment = k years
4 k% is added to the original deposit.
A = P + P r t
A = P (1 + r t)
A = P (1 + 0.04 k)
the correct answer is option A
27 because 4*4=16. 65+16=81 and 81 divided by 3=27
