Total value of ratio = 4+3+1 = 8
value of 1 unit = 64/8 = 8
numbers are 4(8), 3(8), 1(8) = 32, 24, 8
so, the greatest number is 32
If x = -1, 0, 1, 2, 3
then y = -9, -6, -5, -6, -9
vertex: (1,-5)
focus: (1,-21/4)
axis of symmetry: x=1
directrix: y=-19/4
parabola
What is the volume of the crushed ice?
volume of the cone = π r² h/3
volume of the small cone = 3.14 * (3in)² * 3in/3
volume of the small cone = 3.14 * 9in² * 1in
volume of the small cone = 28.26 in³
volume of the big cone = 3.14 * (3in)² * 15in/3
volume of the big cone = 3.14 * 9in² * 5in
volume of the big cone = 141.30 in³
volume of the crushed ice = 141.30 in³ - 28.26 in³ = 113.04 in³
Answer:
76°
Step-by-step explanation:
![\because \: m \angle \: 1 = m \angle \: 12 \\ (exterior \: alternate \: \angle s) \\ \\ \therefore \: (5x + 44) \degree = (8x + 8) \degree \\ \\ \therefore \: 5x + 44 = 8x + 8 \\ \\ 5x - 8x = 8 - 44 \\ \\ - 3x = - 36 \\ \\ x = \frac{ - 36}{ - 3} \\ \\ \huge \red{x = 12} \\ \\ \because \: m \angle \: 12 = (8x + 8) \degree \\ \\ \therefore \: m \angle \: 12 = = (8 \times 12 + 8) \degree \\ \\ \therefore \: m \angle \: 12 = = (96+ 8) \degree \\ \\ \therefore \: \purple{m \angle \: 12 = 104 \degree} \\ \\ \because \: m \angle \: 10 + m \angle \: 12 = 180 \degree \\(linear \: pair \: \angle s) \\ \\ \therefore \: m \angle \: 10 + 104 \degree = 180 \degree \\ \\ \therefore \: m \angle \: 10 = 180 \degree - 104 \degree \\ \\ \huge \orange{ \boxed{\therefore \: m \angle \: 10 = 76 \degree }}](https://tex.z-dn.net/?f=%20%5Cbecause%20%5C%3A%20m%20%5Cangle%20%5C%3A%201%20%3D%20m%20%5Cangle%20%5C%3A%2012%20%5C%5C%20%28exterior%20%5C%3A%20alternate%20%5C%3A%20%20%5Cangle%20s%29%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%285x%20%2B%2044%29%20%5Cdegree%20%3D%20%288x%20%2B%208%29%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%205x%20%2B%2044%20%3D%208x%20%2B%208%20%5C%5C%20%20%5C%5C%205x%20-%208x%20%3D%208%20-%2044%20%5C%5C%20%20%5C%5C%20%20-%203x%20%3D%20%20-%2036%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20-%2036%7D%7B%20-%203%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cred%7Bx%20%3D%2012%7D%20%5C%5C%20%20%5C%5C%20%20%20%5Cbecause%20%5C%3A%20m%20%5Cangle%20%5C%3A%2012%20%20%3D%20%288x%20%2B%208%29%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20m%20%5Cangle%20%5C%3A%2012%20%20%3D%20%3D%20%288%20%5Ctimes%2012%20%2B%208%29%20%5Cdegree%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20m%20%5Cangle%20%5C%3A%2012%20%20%3D%20%3D%20%2896%2B%208%29%20%5Cdegree%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20%5Cpurple%7Bm%20%5Cangle%20%5C%3A%2012%20%20%3D%20104%20%5Cdegree%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cbecause%20%5C%3A%20m%20%5Cangle%20%5C%3A%2010%20%2B%20m%20%5Cangle%20%5C%3A%2012%20%20%3D%20180%20%5Cdegree%20%5C%5C%28linear%20%5C%3A%20pair%20%5C%3A%20%20%5Cangle%20s%29%20%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20m%20%5Cangle%20%5C%3A%2010%20%2B%20104%20%5Cdegree%20%3D%20180%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20m%20%5Cangle%20%5C%3A%2010%20%3D%20180%20%5Cdegree%20%20-%20104%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Corange%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20m%20%5Cangle%20%5C%3A%2010%20%3D%2076%20%5Cdegree%20%7D%7D)
60, 30, and 90 degrees.
180 - 120 = 60
180 - 150 = 30
Since a triangle is 180 degrees, and we already know 2 of them are 60 and 30 degrees, the last one would be 90 degrees.