Answer:
3pi or approximately 9.42
Step-by-step explanation:
The diameter is 3
The circumference is given by
C = pi *d
C =3 pi
We can approximate pi by 3.14
C = 3*3.14
C =9.42
B. It is vertically stretched by a factor of 4. If you had x^2 versus 4x^2, when x is positive and increasing, 4x^2 is increased by 4 for every value of x.
Know that:
sin(β)=Opposite/Hypotenuse
Therefore:
sin(54)=x/10
Therefore:
x=10*sin(54)
x=8.1 (To the nearest tenth)
Answer:
3840 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is 960 cubic inches
Let the dimensions be lXwXh,
l=length of the base
w=width of the base
h=height of the base
The volume, lwh=960 cubic inches
If the dimensions of the base are doubled and the height remains the same
Volume of the new rectangular prism=2l X 2w X h =4lwh
=4 X 960 =3840 cubic inches
Let’s convert 3 kilograms to 3000 grams just to make things easier.
650 * 4 = 2600 grams. This is the total weight of the 4 blocks.
To find the weight of the final block, 3000 - 2600 = 400 grams
