A full circle = 360 degrees.
The sum of the shaded portions is : 60 + 55 + 45 = 160.
The probability would be the shaded portion divided by the full circle:
160 / 360 = 0.44
Blue: y = 1/2x - 2
Orange: y = -2x - 4
Answer:
B) x - 2y = 4 and 2x + y = -4
Answer:
1.5 seconds
Step-by-step explanation:
Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:
340 = -16x² - 4x + 382
0 = -16x² - 4x + 42 (Subtract 340 from both sides)
16x² + 4x - 42 = 0 (Multiply entire equation by -1, "flip" equation)
8x² + 2x - 21 = 0 (Divide entire equation by 2)
(4x + 7)(2x - 3) = 0 (Factor LHS)
4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)
4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)
or 
x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.
Hope this helps!
If three hens lay 3 eggs any 3 days. The number of days that 3 Hens give in 9 eggs is: 9days.
<h3>
Number of days that three hens lay 9 eggs</h3>
Given:
3 hens lay 3 eggs in 3 days
First step is to determine the number of egg one hen lay in 3 days
1 hen in 3 days lays 3/3
1 hen in 3 days lays=1 egg
Second step is to determine the number of egg 3 hens lay 1 day
1 hen in 1 day lays 1/3 egg
3 hens in 1day lay=(1×3)/3
3 hens in 1day lay=1 egg
Third step is to determine the number of eggs 3 hens lay in 9 days
3 hens in 9 days lay=(1×9)
3 hens in 9 days lay=9 eggs
Therefore assuming three hens lay 3 eggs any 3 days. The number of days that 3 Hens give in 9 eggs is: 9days.
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Answer: sas
Step-by-step explanation:
