Answer:
height: 125m; distance: 500m
Step-by-step explanation:
x = 250
f(x) = x − 0.002x2
f(x) = 250 − 0.002(250 )2
= 250 − 0.002(62,500)
= 250 − 125
= 125
250 times 2 = 500
Answer:
$ 256
Step-by-step explanation:
square footage of door = 8 x 4 = 32 ft^2
32 ft^2 * 8 dollar /ft^2 = $ 256
Answer: A
Step-by-step explanation:
- Open circle means that x does not equal that number. For example, the open circle on C is on 8, so that shows x is not equal to 8.
- Closed circle means that x does equal that number. For example on A, there is a closed circle on 8, so x could equal 8.
First, we need to solve the equation.
- Subtract 200 frim 1200 -> 125x ≥ 1000.
- Divide 125 from 1000 to isolate the x -> x ≥ 8
So, that means x is bigger than or equal to 8.
The answer to the problem is 220
Answer:
CD = 14 cm; DE = 21 cm
Step-by-step explanation:
The perimeter is the sum of side lengths (in centimeters), so ...
CD + DE + CF + EF = 55
CD + DE + 8 + 12 = 55 . . . . . . . substittute for CF and EF
CD + DE = 35 . . . . . . . . . . . . . . subtract 20
___
The segment DF is a diagonal of the rhombus, so bisects angle D. That angle bisector divides ΔCDE into segments that are proportional. That is, ...
CD/DE = CF/EF = 8/12 = 2/3
___
So, we have two segments whose sum is 35 (cm) and whose ratio is 2 : 3. The total of "ratio units is 2+3=5, so each must stand for a length unit of 35/5 = 7 (cm). The sides are ...
CD = 2·7 cm = 14 cm
DE = 3·7 cm = 21 cm
<em>Check</em>
CD + DE = (14 +21) cm = 35 cm . . . . . matches requirements
