By expanding D it is clear that it is the factored form of 2/3x + 4
as 2/3x + 4 = 2/3x + 4*3/3
= 2/3x + (2*3)*(2/3). ( rearranging terms)
=2/3( x+ 2*3). ( taking 2*3 common)
=2/3( x + 6)
which is option D
hope it helped ^_^
Answer: 1.25
Step by step:
= 10/8
= 1.25
Answer:
Step-by-step explanation:
Diagonal is 60 inches, height is 24 inches so
60^2 = 24^2 + width^2
6.25 inches
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.