I need to know 18=3|x-1|

What is the volume of the solid?

Evgen [1.6K]

9514 1404 393

Answer:

(9√3 -3π/2) ft^3 ≈ 10.88 ft^3

Step-by-step explanation:

The area of the hexagon is given by the formula ...

A = (3/2)√3·s^2 . . . . for side length s

The area of the hexagonal face of this solid is ...

A = (3/2)√3·(2 ft)^2 = 6√3 ft^2

__

The area of the circular hole in the hexagonal face is ...

A = πr^2

The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.

A = π(1 ft)^2 = π ft^2

Then the area of the "solid" part of the face of the figure is ...

A = (6√3 -π) ft^2

__

The volume is ...

V = Bh . . . . . where B is the area of the base of the prism, and h is its height

V = ((6√3 -π) ft^2)(3/2 ft) = (9√3 -3π/2) ft^3 ≈ 10.88 ft^3

8 0

3 years ago

Solve 2x+y=5 for y Can someone plz help

riadik2000 [5.3K]

Answer:

y = -2x+5

Step-by-step explanation:

2x+y=5

Subtract 2x from each side

2x-2x +y=-2x+5

y = -2x+5

3 0

3 years ago

Read 2 more answers

The absolute value of a number is the distance it is from 0. The bug is currently to the left of 0 and the absolute value of its

Ksenya-84 [330]

Answer:

- 4

Step-by-step explanation:

The absolute value of a number renders a number positive regardless of the preceeding sign. Therefore, either a number is positive or negative, the absolute value of such number will be positive.

In a number line, 0 is the midpoint and values to the left of 0 are negative, while those to the right are positive.

For the scenario, above, the bug is to the left of 0 and has an absolute value of 4 ;

The current position of the number line will be 4 (absolute value) places to the left of 0 which is - 4 (negative numbers are in the left).

6 0

3 years ago

Is it A or C?!?!??!! Please help

julia-pushkina [17]

Answer:

A

Step-by-step explanation:

Ur answer is A for the above question

4 0

4 years ago

Read 2 more answers

Hurry! A FedEx freight truck carries three tons of packages 660 miles on 90 gallons of diesel fuel from Miami, Fl to Atlanta, Ga

artcher [175]

(a) Truck carries 90 gallons of diesel fuel to 660 miles.

So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.

30 gallons of diesel fuel to $30()\frac{22}{3}$ = 220 miles.

Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.

Join (660, 90) and (220, 30), we get the graph of a line.

Note that (0, 0) is also a point on the line.

Equation of the line is $y=\frac{22}{3} x$ .

(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].

Hence, the domain of the function is [0, 660].

(c) Origin represents that the truck is not moving and there is no diesel fuel loaded in the truck.

7 0

3 years ago