Answer:
r = 4/(x+y)
Step-by-step explanation:
rx + ry = 4
Factor out r
r ( x+y) = 4
Divide each side by (x+y)
r ( x+y) /(x+y) = 4/(x+y)
r = 4/(x+y)
Answer:
she get paid for 192 dollars for 4 hours
The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot
<h3>Cost of wallpaper per square foot</h3>
- length = 9 ft
- Width = 8 ft
- Height = 5 ft
Surface area of a box = 2(lh + wh + lw)
= 2(9×5 + 8×5 + 9×8)
= 2(45 + 40 + 72)
= 2(157)
= 314 square foot
- Total cost of wallpaper = $942
Cost of wallpaper per square foot = $942 ÷ 314 square foot
= $3 per square foot
Learn more about surface area:
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Answer:
The equation of the line would be y = -5/2x - 1
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
5x + 2y = 12
2y = -5x + 12
y = -5/2x + 6
Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = -5/2(x + 2)
y - 4 = -5/2x - 5
y = -5/2x - 1
Answer: perimeter = 96mm, Area = 564mm².
Step-by-step explanation:
From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x
Therefore,
25² = ײ + 7²
625 = x² + 49
x² = 625 - 49
x² = 576
x. = √576
= 24.
Now the perimeter
= 20 + 25 + 7 + 20 + 24
= 96mm.
Area of the figure will be
= 1/2( a + b )h
Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values
( 20 + 27) x 24
---------------------
2
= 47 x 24/2
= 47 x 12
= 564mm²
