Answer: Choice A
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Explanation:
One shaded region is below the parabola, and the other shaded region is below the line. They both overlap outside the parabola, but under the straight line.
Since both shaded regions are below their respective boundaries, this means that we'll be using "less than" signs for each inequality. The solid boundary lines indicate "or equal to" is part of that as well.
Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".
However, we can rule out choice D since the inequality
would have the boundary line
, and this boundary line has a positive slope. But notice how the red diagonal line slopes downward as we read from left to right. Therefore, the red line must have a negative slope. Luckily, choice A has one of the boundary lines as y = -x+3 to fit the description. So that's why choice A is the answer.
Median is just the middle number. If you put all the numbers in order from least to greatest:
4,5,6,7,8,9,10
Then you can find the one in the middle. In this case it’s 7.
Answer:
D.
Step-by-step explanation:
Line D. shows the numbers less than 4. Trust me on this.
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This is a matter of Amount = Rate times time.
First, find the area of the circular opening. A = pi (r^2). Here,
A = pi(10.5 inches)^2.
To obtain the volume of water that flows out of the pipe per second, multiply this area by the 30 inches per second rate.
That comes out to a volume per second of Volume rate = pi*(10.5 inches)^2 * 30 inches per second:
Volume rate = 3.14(110.25 in^2)(30 inches/sec)
= 10390.8 cubic inches per second
Convert this result to cubic feet per second. Recall that 1 cubic foot = (12 inches)^3, or 1728 cubic inches / 1 cubic foot.
Thus, 10390.8 cubic inches per second comes out to
10390.8 cubic inches
---------------------------- = Just over 6 cubic feet per sec.
1728 cu. inches
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1 cu. ft
How many sec in 1 day? 1 day = 24 hours
1 hour = 60 minutes
60 seconds = 1 minute
Figure out how many seconds there are in 1 day, and then multiply your result by 6 cu. ft. / sec.
Answer:
6801.5 ft²
Step-by-step explanation:
Draw a dashed line to extend the 48 ft side.
To the right of this dashed line you have a rectangle of 55.5 ft by 98 ft, whose area is (55.5 ft)(98 ft) = 5439 ft².
To the left of this dashed line you have a triangle.
Its base length is (98 ft - 48 ft), or 50 ft.
Its height is (110 ft - 55.5 ft) = 54.5 ft.
Since the area of a triangle is given by A = (1/2)(base)(height), the area of this particular triangle is A = (1/2)(50 ft)(54.5 ft) = 2725/2 = 1362.5 ft².
The total area of this figure is then (1362.5 ft² + 5439 ft²), or 6801.5 ft².