ITS URGENT PLEASE HELP!!! I will give brainliest if correct! Someone please help?
1 answer:
Answer:
D, E, C, A, and B.
Step-by-step explanation:
We wish to solve the equation:
Let’s go through this step-by-step.
1) Distributive Property:
2) Commutative Property of Addition (we rearrange them):
3) Combined Like Terms:
4) Addition Property of Equality* (we add <em>-1</em> to both sides):
5) Multiplication Property of Equality (we multiply both sides by -1):
So, our sequence is:
D, E, C, A, and B.
*A better choice would’ve been the Subtraction Property of Equality, but both are equally fine.
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The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure 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 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
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 4 cm. We take π as 3.1415.
The volume of a full sphere cubic cm.
The volume of the half-sphere cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume cub cm. This is closest to the third option 385.17 cubic centimeters.