The answer is it is greater than
A, because -0.4 is greater than -0.9. Try drawing it on a number line!
Answer:
The answer is 30°
Step-by-step explanation:
![when \: \: \sqrt{3} \sin( \alpha ) - \cos( \alpha ) = 0 \\ \sqrt{3} \sin( \alpha ) = \cos( \alpha ) \\ multiply \: by \: \frac{1}{ \sqrt{3} \cos( \alpha ) } \\ then \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{1}{ \sqrt{3} } \\ \tan( \alpha ) = \frac{1}{ \sqrt{3} } \\ then \: \alpha = 30](https://tex.z-dn.net/?f=when%20%5C%3A%20%20%5C%3A%20%20%20%5Csqrt%7B3%7D%20%20%5Csin%28%20%5Calpha%20%29%20%20-%20%20%5Ccos%28%20%5Calpha%20%29%20%20%3D%200%20%5C%5C%20%20%5Csqrt%7B3%7D%20%20%20%5Csin%28%20%5Calpha%20%29%20%20%3D%20%20%5Ccos%28%20%5Calpha%20%29%20%20%5C%5C%20multiply%20%5C%3A%20by%20%5C%3A%20%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7B3%7D%20%20%5Ccos%28%20%5Calpha%20%29%20%7D%20%20%5C%5C%20then%20%5C%5C%20%20%5Cfrac%7B%20%5Csin%28%20%5Calpha%20%29%20%7D%7B%20%5Ccos%28%20%5Calpha%20%29%20%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%5C%5C%20%20%5Ctan%28%20%5Calpha%20%29%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%5C%5C%20then%20%5C%3A%20%20%5Calpha%20%20%3D%2030)
Answer:
Step-by-step explanation:
0.5 gal/day * 7 days/week = 3.5 gal/week
3.5 gal * 16 cups/gal = 56 cups
Assume that the volume of the prism, V prism = Area of the base (A) x height (h). Using the equation for solving the volume of pyramid which is V pyramid = 1/3 x (base x height). For this example the prism and the pyramid's base is equal (A) and the height of pyramid is half the height of the prism (h/2). Hence, volume pyramid = 1/3 x (A) x (h/2) = (A x h)/6.