If each couple rests for 
minutes every hour, the time spent resting, 
, after 
hours is given by
We know that a couple spent 25 minutes resting in 5 hour. So, the rate is
So, every couple rests 5 minutes per hour.
This means that, after 8 hours, the couples rest
minutes.
If you look at one of the curves, you can see that it is the circumference of one-fourth of a circle. The center of the two circles are points B and D, therefore the radii are both 8 cm.
The perimeter of half the shape is one-fourth of a circle and there are two of the curves, so perimeter is 0.5 * C where C = 2pi*r
Perimeter = 0.5 * 2 * pi * 8 = 8pi
We can find the area of one of the non-shaded corners by taking the area of the square (8*8 = 64) and subtracting one-fourth of the circle.
64 - (0.25 * pi * 8^2) = 64 - 16pi..
There are two of these corners so multiply by 2 = 128 - 32pi
Now 64 - (128 - 32pi) = Area of shaded region.
To answer this you must know the rule for the slopes of perpendicular lines. the rule is that if 2 lines are perpendicular to each other, then their slopes are opposite reciprocal.
the word opposite means that if the slope of one is positive, then the other is negative. And vice versa.
the word reciprocal means that you divide 1 by whatever the slope is. So the reciprocal of x is 1/x.
so let's say we have a slope of -2 and what to find a line perpendicular. We need to find the opposite reciprocal. the opposite of -2 is 2. And the reciprocal of 2 is 1/2. So perpendicular line would have slope of 1/2
now to answer yours.
We know that y = mx + b, where m = slope and b = y intercept.
so:
y - 3 = 4 (x + 2)
y = 4x + 11
so m = 4. the slope is 4.
the opposite of 4 is - 4 and the reciprocal of - 4 is - 1/4. So that is out new slope of perpendicular line.
We know that given a point we can use:
(y - y1) = m (x - x1), where (x1, y1) is the given point
We are given point (- 5, 7) and we know m = - 1/4. so:
y - (7) = - 1/4(x - (- 5))
y - 7 = - 1/4(x + 5)
y - 7 =- 1/4x - 5/4
y = - 1/4x + 23/4
this should be equAtion. We can check by seeing if slopes are opposite reciprocal and by plugging in point.
- 1/4 is opposite reciprocal of 4.
plug in point
7 = - 1/4 (- 5) + 23/4
7 = 5/4 + 23/4
7 = 7
this is correct
Answer:
see below
Step-by-step explanation:
10c + 5 < 45
Subtract 5 from each side
10c + 5-5 < 45-5
10c < 40
Divide by 10 on each side
10c/10 < 40/10
c < 4
Open circle at 4 and the line going to the left
Answer:
The correct answer to a is 3 1/2 same answer for the other answer.
