Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: ![Perimeter=2(length+width)](https://tex.z-dn.net/?f=Perimeter%3D2%28length%2Bwidth%29)
Putting values and making equation:
![244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16](https://tex.z-dn.net/?f=244%3D2w%2B2%28w%2B90%29%5C%5CSolving%3A%5C%5C244%3D2w%2B2w%2B180%5C%5C244%3D4w%2B180%5C%5CSwitching%5C%3Asides%5C%5C4w%2B180%3D244%5C%5CSubtracting%5C%3A180%5C%3Afrom%5C%3Aboth%5C%3Asides%5C%5C4w%3D244-180%5C%5C4w%3D64%5C%5CDividing%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A4%5C%5C%5Cfrac%7B4w%7D%7B4%7D%20%3D%5Cfrac%7B64%7D%7B4%7D%5C%5Cw%3D16)
So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Answer: AC = 7√3
tan 30° = ![\frac{BC}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BAC%7D)
=> ![\frac{BC}{AC}=\frac{1}{\sqrt{3} }\\\\\=> AC=BC\sqrt{3} =7\sqrt{3}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BAC%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D%5C%5C%5C%5C%5C%3D%3E%20AC%3DBC%5Csqrt%7B3%7D%20%3D7%5Csqrt%7B3%7D)
Step-by-step explanation:
45.908 / 300.6 = 0.152721224
:)
Answer:
![\frac{8}{9}{x}^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B9%7D%7Bx%7D%5E%7B2%7D)
Step-by-step explanation:
All you do is multiply straight across [both denominator and numerator] to arrive at your answer. Then, multiplying two <em>x</em>'s together gives you
. So, with all that being said, you have your answer.
I am joyous to assist you anytime.
Answer:
y = 4x - 1
Step-by-step explanation: