Answer:
The four pieces cut off can be arranged into two squares with sides of length b feet and hence the area of the octagon is w 2 - 2 b 2 square feet. Since w = 12 feet, all that is needed is to find b. square feet which is approximately 119 square feet.
Step-by-step explanation:
Answer:
x-intercept = (-8, 0)
y-intercept = (0, -2)
Step-by-step explanation:
Given linear equation is: x + 4y = - 8
For x - intercept: Plug y = 0 in the above equation.
For y - intercept: Plug x = 0 in the given linear equation.
<h3>
Answer: 7/10</h3>
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Explanation:
There are 30 days in April. Since it rained 9 of those days, the empirical probability of it raining in April is 9/30 = (3*3)/(3*10) = 3/10.
If we assume that the same conditions (ie weather patterns) hold for May, then the empirical probability of it raining in May is also 3/10. By "raining in May", I mean specifically raining on a certain day of that month.
The empirical probability of it not raining on the first of May is therefore...
1 - (probability it rains)
1 - (3/10)
(10/10) - (3/10)
(10-3)/10
7/10
We can think of it like if we had a 10 day period, and 3 of those days it rains while the remaining 7 it does not rain.
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Answer:
the correct answer is marked
Step-by-step explanation:
The graph ranges vertically between 9 and 15, starting at 9 (the minimum) when x=0. The minimum appears again at x=350.
This means the vertical offset is (9+15)/2 = 12, and the amplitude is (15 -9)/2 = 3. The period is 350, so the coefficient of x is (2π/350). All of the answer choices agree on these parameters.
So, the selection comes down to an understanding of how the sine and cosine curves vary. The sine curve starts at zero and increases from there. The cosine curve starts at its maximum (1) and decreases. Here, the curve starts a its minimum and increases, so could be the opposite of the cosine function.
y = -3cos(2πx/350) +12 . . . . . . matches choice C
Hello there! A. 3.75 hours is your answer.
Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.
total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)
72 ÷ 2.5 = 28.8 cookies an hour
Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.
180 cookies ÷ x time = 28.8
Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.
180 ÷ 3.75 = 28.8.
So, this is your correct answer.
