Answer:
As a fraction: 39/4 or 9 3/4
As a decimal: 9.75
As a percentage: uhhhhh- 75% of the colors.
As an integer: 10
Step-by-step explanation:
Multiplying fractions, you get 39/4 or 9 3/14
Pull out your calculator(or divide on paper), to get 9.75
Round that to 10.
3/4 = 75%
Hope this helps!
Answer:
5 units
Step-by-step explanation:
in a 30-60-90 triangle, the hypotenuse is 2 times the value of the shorter leg. So, if the hypotenuse is 10, then the shorter leg will be 5 units because 10 ÷ 2 is 5.
![\stackrel{geometric~mean}{\cfrac{\sqrt{x}}{g}=\cfrac{g}{4\sqrt{x}}}\implies 4\sqrt{x}\sqrt{x}=g^2\implies 4x=g^2\implies \sqrt{4x}=g \\\\\\ \stackrel{\textit{since we know that}}{g=x-3}\qquad \implies \sqrt{4x}=x-3\implies 4x=(x-3)^2 \\\\\\ 4x=\stackrel{F~O~I~L}{x^2-6x+9}\implies 0=x^2-10x+9 \\\\\\ 0=(x-9)(x-1) \implies \begin{cases} 0=x-9\\ 9=x\\[-0.5em] \hrulefill\\ 0=x-1\\ 1=x \end{cases}](https://tex.z-dn.net/?f=%5Cstackrel%7Bgeometric~mean%7D%7B%5Ccfrac%7B%5Csqrt%7Bx%7D%7D%7Bg%7D%3D%5Ccfrac%7Bg%7D%7B4%5Csqrt%7Bx%7D%7D%7D%5Cimplies%204%5Csqrt%7Bx%7D%5Csqrt%7Bx%7D%3Dg%5E2%5Cimplies%204x%3Dg%5E2%5Cimplies%20%5Csqrt%7B4x%7D%3Dg%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bsince%20we%20know%20that%7D%7D%7Bg%3Dx-3%7D%5Cqquad%20%5Cimplies%20%5Csqrt%7B4x%7D%3Dx-3%5Cimplies%204x%3D%28x-3%29%5E2%20%5C%5C%5C%5C%5C%5C%204x%3D%5Cstackrel%7BF~O~I~L%7D%7Bx%5E2-6x%2B9%7D%5Cimplies%200%3Dx%5E2-10x%2B9%20%5C%5C%5C%5C%5C%5C%200%3D%28x-9%29%28x-1%29%20%5Cimplies%20%5Cbegin%7Bcases%7D%200%3Dx-9%5C%5C%209%3Dx%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%200%3Dx-1%5C%5C%201%3Dx%20%5Cend%7Bcases%7D)
both values are positive, so both values are valid.
20;000;000+400;000+80;000+4;000+100+60+3
