Answer:12002/9987
Step-by-step explanation:
Answer:
170 is 85% of the unknown value
Step-by-step explanation:
If 60% equals 120, and 25% equals 50. Then all we have to do is add 120 + 50. Since the percents add up to 85%. So your answer is 170. (pretty sure)
Answer:
It is true.
Step-by-step explanation:
congruent polygons have the exact same size and are a perfect match because all corresponding parts are congruent (equal). ... This means that if two polygons are similar, then their corresponding angles are congruent
Given :
Area of rectangle.
To Find :
The dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible.
Solution :
Let, the dimensions of rectangle is x and y.
Area, A = xy.
x = A/y. ....1)
Perimeter, P = 2( x + y )
Putting value of x in above equation, we get :
![P = 2( y + \dfrac{A}{y})](https://tex.z-dn.net/?f=P%20%3D%202%28%20y%20%2B%20%5Cdfrac%7BA%7D%7By%7D%29)
For minimum P,
![\dfrac{dP}{dx}=2( 1 - \dfrac{A}{x^2})=0\\\\A = x^2](https://tex.z-dn.net/?f=%5Cdfrac%7BdP%7D%7Bdx%7D%3D2%28%201%20-%20%5Cdfrac%7BA%7D%7Bx%5E2%7D%29%3D0%5C%5C%5C%5CA%20%3D%20x%5E2)
SO, it is a square.
![x=\sqrt{A}\\\\x=\sqrt{1728\ m^2}\\\\x=24\sqrt{3}\ m](https://tex.z-dn.net/?f=x%3D%5Csqrt%7BA%7D%5C%5C%5C%5Cx%3D%5Csqrt%7B1728%5C%20m%5E2%7D%5C%5C%5C%5Cx%3D24%5Csqrt%7B3%7D%5C%20m)
Therefore, the dimensions are
.24\sqrt{3}
Hence, this is the required solution.
Answer:
<u>k = 9</u>
<u>y = 9x</u>
Step-by-step explanation:
Variation Constant Formula :
- k = y/x
- k = 9/1
- <u>k = 9</u>
<u></u>
Equation :