Answer:
See below.
Step-by-step explanation:
There is no statement given so we can only guess. There is a way of finding out.
Slope ZY = - 1/2
Slope XY = 2
Those two slopes (when multiplied) will equal - 1 (2 * -(1/2) = - 1). That is the definition of two lines meeting at right angles or one line being perpendicular to another.
Represent the unknowns.
<span>Let x = length </span>
<span>since the width is 3/4 of the length, </span>
<span>Let (3/4)x = width </span>
<span>Recall that the area of rectangle is just width multiplied by the length, </span>
<span>A = w * l </span>
<span>Substituting, </span>
<span>432 = (3/4)x * x </span>
<span>432 = (3/4)x^2 </span>
<span>432 * 4/3 = x^2 </span>
<span>576 = x^2 </span>
<span>Get the square root of both sides, </span>
<span>x = 24 feet (length) </span>
Answer:
The area of the shaded region is: 32.25m^2
Step-by-step explanation:
Given
See attachment for rectangle and semicircles
Required
The shaded region
We have:
--- length of the rectangle
This means that the diameters of the three circles add up to 30m.
So, the diameter of 1 is:
The area of one circle is:
The area of the three circles is:
The area of the rectangle is:
Where r is the radius of the circle
And
So, we have:
So, the shaded region is:
I think the answer is 4.5 hours. Equation: y = 2x + 16.5.
Where y represents the total area painted by each person and x represents the time.
There's multiple ways to solve systems of equations, but one method is well suited to this particular problem.
Subtract one entire equation from the other, as in: y = 2x + 16.5 - y = 4x + 7.5 ---------------------- 0 = -2x + 9
Then solve for x, using basic algebra: 2x = 9 x = 9 / 2 x = 4.5
To check your answer, you can plug the x value into both equations: 2 (4.5) + 16.5 = 25.5 4 (4.5) + 7.5 = 25.5 This proves that, at 4.5 hours later, both Naomi and Claire will have painted 25.5 square feet each.
You could also check the answer by graphing both equations and finding the point where the line meets. You will see that the intersection point is (4.5, 25.5).
Hoped I helped!
Answer:
verticle
you are correct
Step-by-step explanation: