What is the completely factored form of this polynomial? 25x^2y^2-100
1 answer:
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<h2>Hope this helps!</h2>
If x = the first number (equal to 1x) then the second number is 75% more than this.
This means the value of the bigger number is 100 + 75 (because 100 is the starting number and 75 is the percent bigger)
This can be shown with the following equation:
Amount *
x * = 1.75x
1.75x is the value of the bigger number.
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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.