Answer:
Scale factor of cube to the smaller cube is 5 : 3.
Step-by-step explanation:
Ratio of the volumes of two cubes = 
= 
= 
Scale factor of these cubes = ![\sqrt[3]{\text{ratio of the volumes of the cubes}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Ctext%7Bratio%20of%20the%20volumes%20of%20the%20cubes%7D%7D)
= ![\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20large%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20small%20prism%7D%7D%7D)
= ![\sqrt[3]{\frac{125}{27} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B125%7D%7B27%7D%20%7D)
= 
= 5 : 3
Therefore, scale factor of cube to the smaller cube is 5 : 3.
Answer:A
Step-by-step explanation: Hope this helped. Let me know if it did.
Answer:
-25/12
Step-by-step explanation:
first, you need a common denominator. in this case, it's 12.
-1/3=-4/12
-7/4=-21/12
and then you add
-4+-21=-25
so -25/12 is your answer
Answer:
CODE: 1977.98
Step-by-step explanation:
A.
(To get the closest answer, round the circumference to the nearest ten thousandth.)
C = 2(3.14)r Circumference formula: C = 2πr
C = 2(3.14)(3)
C = 18.84
B.
A = (3.14)r²
A = (3.14)(3)²
A = (3.14)(9)
A ≈ 28.26
C. (It's asking for the circumference.)
C = 2(3.14)r
C = 2(3.14)(58)
C ≈ 364.24
D. (It's a linear pair, which is 180 degrees.)
4x + 2x = 180
6x = 180
x = 30
m∠ABD = 4x
m∠ABD = 4(30)
m∠ABD = 120°
E. (∠GHI & ∠JHK are vertical angles, so they are congruent.)
x + 7 = 3x - 21
28 = 2x
14 = x
F. (x = 14)
m∠JHK = 3x - 21
m∠JHK = 3(14) - 21
m∠JHK = 42 - 21
m∠JHK = 21°
G. (Supplementary - two angles that add up to 180 degrees.)
180 - 84
= 96°
CODE: E(C - D) - F(G - B) - A
CODE: 14(364.24 - 120) - 21(96 - 28.26) - 18.84
CODE: 14(244.24) - 21(67.74) - 18.84
CODE: 3419.36 - 1422.54 - 18.84
CODE: 1977.98
