The value for the expression f(-3) for f(x)=9+12x is -27.
f(-3)=9+12(-3)
f(-3)=9-36
f(-3)=-27
Step-by-step explanation:
Area of a circle = πr²
r = 6 mm (given)
Area = π(6)² = 36π mm².
563 X 410 = 230830, you're welcome
Answer:
![x=\frac{4\sqrt{3}}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%5Csqrt%7B3%7D%7D%7B3%7D)
Step-by-step explanation:
From the figure attached,
ΔABC is an equilateral triangle.
Therefore, by the property of the equilateral triangle,
Measure of each angle = 60°
By applying tangent rule in the right triangle ADC,
![\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%2860%5E%7B%5Ccirc%7D%29%3D%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
![\sqrt{3}=\frac{4}{x}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%3D%5Cfrac%7B4%7D%7Bx%7D)
![x=\frac{4}{\sqrt{3}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%7D%7B%5Csqrt%7B3%7D%7D)
![x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%7D%7B%5Csqrt%7B3%7D%7D%5Ctimes%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%20%7D)
![x=\frac{4\sqrt{3}}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%5Csqrt%7B3%7D%7D%7B3%7D)
Answer:
The decimal in simplest form is .625, and the fraction in simplest form is 5/8.
Step-by-step explanation:
To find the decimal that represents the shaded area, you have to find the fraction 5/8 and divide 5 by 8
Hope this helps!