Answer:
(x + y)² =16
Step-by-step explanation:
hello :
(x + y)² = x²+y²+2xy and : x²+y² = 6 xy = 5
(x + y)² = 6+2(5)
(x + y)² =16
Answer:
$57.5 is the total cost to build the pen.
Step-by-step explanation:
We are given the following in the question:
A livestock pen is built in the shape of a rectangle.
The length of rectangle is two times the width.
Let l be the length of rectangle and w be the width of rectangle. Thus, we can write
Perimeter = 30 feet
Putting values,
The length of rectangle is 10 feet and width of rectangle is 5 feet.
If the material used to build the pen is $ 1.75 per foot for the longer sides and $ 2.25 per foot for the shorter sides
Cost of building =
Thus, $57.5 is the total cost to build the pen.
Answer=84 sheets
4.2feet
1 foot=12 inches
4.2*12=<span>50.4inches
50.4/0.6=</span><span>84 sheets</span>
Answer:
<em>x=3</em>
Step-by-step explanation:
<u>Angles and Lines</u>
We must recall:
- The sum of the internal angles of a triangle is 180°
- Two linear angles add up to 180°
The image shows a triangle and the extension of its base to form two linear angles.
Note from the triangle, angle R is what it takes to get to 180°:
From the line SQ, angle R what it takes to get to 180°. Thus:
Equating:
Subtracting 180 and simplifying:
Dividing by 19:
x=3
Problem One
Call the radius of the second can = r
Call the height of the second can = h
Then the radius of the first can = 1/3 r
The height of the first can = 3*h
A1 / A2 = (2*pi*(1/3r)*(3h)] / [2*pi * r * h]
Here's what will cancel. The twos on the right will cancel. The 3 and 1/3 will multiply to one. The 2 r's will cancel. The h's will cancel. Finally, the pis will cancel
Result A1 / A2 = 1/1
The labels will be shaped differently, but they will occupy the same area.
Problem Two
It seems like the writer of the problem put some lids on the new solid that were not implied by the question.
If I understand the problem correctly, looking at it from the top you are sweeping out a circle for the lid on top and bottom, plus the center core of the cylinder.
One lid would be pi r^2 = pi w^2 and so 2 of them would be 2 pi w^2
The region between the lids would be 2 pi r h for the surface area which is 2pi w h
Put the 2 regions together and you get
Area = 2 pi w^2 + 2 pi w h
Answer: Upper left corner <<<<< Answer
