Answer:
The length of each side of square is 9 cm
Step-by-step explanation:
<u><em>The question in English is</em></u>
The given figure is made up of 6 identical squares.The perimeter of the figure is 126 cm.what is the length of each side of square?
The picture of the question in the attached figure
Let
x ----> the length side of each square
we know that
The perimeter is the sum of the borders of the figure
so
In this problem

see the attached figure N 2 to better understand the problem
we have

so

solve for x

therefore
The length of each side of square is 9 cm
Answer:
First we need to calculate the length of the base of the triangle.
So now that we know that the area of a triangle can be calculated by the formular A = hb/2, we can also calculate the length of the base as following:
A = hb/2
=> 270 = 15b/2
=> 15b = 270 . 2
=> 15b = 540
=> b = 540/15 = 36 (m)
Now we have the lengths of the shorter and the longer legs of the right triangle, we can use Pythagorean theorem to calculate the length of the hypotenuse: √(15² + 36²) = √(225 + 1296) = √1521 = 39 (m)
Answer:
16π=r^2
or
150.24=r^2
Step-by-step explanation:
Formula of a cylinder: V=πr^2h
176π=πr^2(11) Divide 176 by 11.
16π=r^2
Answer:
Width 15 feet
Step-by-step explanation:
Use formula

Let x feet be the width of the rectangle.
If the length of a rectangle is 4 times the width of the rectangle, then the length is 4x feet.
The area of the rectangle is 900 square feet, so
![900=x\cdot 4x\\ \\900=4x^2\\ \\x^2=225\ [\text{Divided by 4}]\\ \\x=\pm 15](https://tex.z-dn.net/?f=900%3Dx%5Ccdot%204x%5C%5C%20%5C%5C900%3D4x%5E2%5C%5C%20%5C%5Cx%5E2%3D225%5C%20%5B%5Ctext%7BDivided%20by%204%7D%5D%5C%5C%20%5C%5Cx%3D%5Cpm%2015)
The width cannot be negative, then x=15 feet and 4x=60 feet.
Answer:
7: (3,9) 8:(-2,1) 6: (2,10)
Step-by-step explanation:
7) 2x+3=-2x+15
x=3
y=2(3)+3
y=6+3
y=9
8)x= -1(1+2y)/3
-4-2y=-6
y=1
x=-2(1+2(1))/3
x=-2
6)2x-16=-12
x=2
y=2+8
y=10