Inequality Show your step by step solution to this. 5-2x>17
1 answer:
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Answer:
C. 13
Step-by-step explanation:
from on online source, the question should be placed as thus:
Of the following integers, which is the closest approximation to (√2 + √5)^2 ?
A. 7
B. 10
C. 13
D. 15
E. 17
This is known as Algebraic expression. So we have to expand to simplify further
using this identity th (a+b)^2 = a^2 + b^2 +2ab
(√2 + √5)^2 =
(√2 + √5)(√2 + √5)
................Expansion of the above
2 + 5 + 2√10
~ 2 +5 + 2(3)
C. 13
The volume of the prop is calculated to be 1,875.6 cubic cm.
Step-by-step explanation:
Step 1; The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2; The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 cm and the height is 12 cm.
The volume of the cone = × 3.14 × 8 × 8 × 12 = 803.84 cubic cm.
Step 3; The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying with π and the cube of the radius (r³). Here the radius is 8cm. We take π as 3.14.
The volume of a full sphere = × 3.14 × r³ =
× π × 8³ = 2,143.5733 cubic cm.
The volume of a half-sphere = = 1,071.7866 cubic cm.
Step 4; The total volume = The volume of the cone + The volume of the half sphere,
The total volume = 803.84 cubic cm + 1,071.7866 cubic cm = 1,875.6266 cubic cm. By rounding this off to the nearest tenth we get 1,875.6 cubic cm.