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.
Answer:
Factored form of the expression is ( x+ 8)(x + 6).
Step-by-step explanation:
The given expression is x² + 14x + 48.
We have to convert the expression in factored form
x² + 14x + 48 = x² + 8x +6x + 48
= x(x + 8) + 6(x + 8) = (x + 8)(x + 6)
Therefore the factored form of the expression is (x + 8)(x + 6).
Answer:
you simplify it? I dont really know. :/
Step-by-step explanation:
Answer:
The price of the homes in the Pittsburgh sample typically vary by about $267,210 from the mean home price of $500,000.
Step-by-step explanation:
The dotplots reveal that the variability of home prices in the Pittsburgh sample is greater than the variability of home prices in the Philadelphia sample. Therefore, the standard deviation of the home prices for the Pittsburgh sample is $267,210 rather than $100,740. The correct interpretation of this statistic is that the price of homes in Pittsburgh typically vary by about $267,210 from the mean home price of $500,000.
Answer:
do the opposite of the equation so adding is subtracting and multiplying is dividing
-30-7=-37
-37+13=-24
-24 is the answer
-24+7=-17-13=-30
Hope this helps
Step-by-step explanation:
