- A rectangle has a perimeter of 44 inches and an area of 72 square inches.
- Perimeter = 44 inches, area = 72 square inches.
- Let the length and breadth be l and b respectively.
- We know, perimeter of a rectangle = 2(l + b)
- Therefore,
- 2(l + b) = 44
or, l + b = 22
or, b = 22 - l ...(i)
- We know, area of a rectangle = lb
- Therefore,
- lb = 72
- Putting (i) in b, we get
- l(22 - l) = 72
or, 22l - l^2 -72 = 0
or, l^2 - 22l + 72 = 0
or, l^2 - 4l - 18l + 72 = 0
or, l(l - 4) - 18(l - 4) = 0
or, (l - 4)(l - 18) = 0
or, l = 4 or l = 18
- Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.
- And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.
<u>Answer:</u>
<u>B)</u><u> </u><em><u>4</u></em><em><u> </u></em><em><u>inches </u></em><em><u>and </u></em><em><u>1</u></em><em><u>8</u></em><em><u> </u></em><em><u>inches.</u></em>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Hahahahhahahahahahahahahahahahaha
We know that
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.
</span>we have that
<span>Circle 1 is centered at (4,3) and has a radius of 5 centimeters
</span><span> Circle 2 is centered at (6,-2) and has a radius of 15 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the center of the circle 2
</span>the transformation has the following rule
(x,y)--------> (x+2,y-5)
so
(4,3)------> (4+2,3-5)-----> (6,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the same center)
</span>
step 2
A dilation is needed to increase the size of circle 1<span> to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle 1-----> 15/5----> 3
radius circle 1 will be=5*scale factor-----> 5*3-----> 15 cm
radius circle 1 is now equal to radius circle 2
A translation, followed by a dilation<span> will map one circle onto the other, thus proving that the circles are similar</span>
Answer:
Step-by-step explanation:
First, you need to find the GCF of both denominators.
That would be 21.
You would need to multiple the 7 in 4/7 by 3, to get to 21. That means you would also have to multiply 3 by the 4. You should get 12/21.
Do you same thing to 1/3.
After that you should get the 2 factions, 12/21 and 7/21
12/21 + 7/21 = 19/21
There isn't anyway to simplify it, meaning the final answer is 19/21.
The answer is 30 cups
Let x be a multiplier. So:
2x + 5x + 9x = 96
16x = 96
x = 96/16
x = 6 cups
Since the number of onion cups is 5x, then 5 * 6 = 30 cups are needed to make 96 cups of salsa.
