Answer:
56x + 34
Step-by-step explanation:
12(3 + 5x) + 1/4(16x - 8)
First, use the distributive property. You will get:
(12)(3) + (12)(5x) + (1/4)(16x) - (1/4)(8)
Next, multiply the numbers. You will then have:
36 + 60x + 4x - 2
Now, rearrange the numbers. The variables go in the front. This is what it should look like:
60x + 4x + 36 - 2
Add 60x and 4x, then subtract 36 and 2. This is your answer:
56x + 34
Answer:100
Step-by-step explanation:
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.