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2 years ago

Find the volume of the rectangular prism shown. Be sure to include units in your answer. Round to the nearest tenth.

Mathematics

2 answers:

Elenna [48]2 years ago

4 0

Answer:124.4 in.

Step-by-step explanation:

8.2*3.7*4.1=124.394 rounded to nearest tenth = 124.4

RUDIKE [14]2 years ago

3 0

124.4 in^3 (cubed)

4.1 x 3.7 x 8.2 = 124.394

To the nearest tenth = 124.4

unit = in^3

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Which polynomial is a product of (3x+2) and (x-7)

pogonyaev

(3x+2) (x-7)

FOIL

first 3x*x = 3x^2

outer 3x*-7 = -21x

inner = 2*x = 2x

last 2*-7 = -14

add them together = 3x^2 -21x+2x -14

combine like terms 3x^2 -19x -14

5 0

2 years ago

Someone help please struggling on this answer thank you so much!

mestny [16]

Answer:

-x+8=6

Step-by-step explanation:

x+5-1(2x)+(-1)(-3)=6

x+5-1-2x+3=6

ans (-x+8=6)

x+8

3 0

2 years ago

What is the slope of a line that is parallel to the line y=3/4x+2

MariettaO [177]

The slope is m=3/4. Hope this helped you with your work let me know if I got the answer correct.

3 0

2 years ago

Read 2 more answers

Can anyone math experts help and guide me through these questions❓

Lubov Fominskaja [6]

Step-by-step explanation:

The volume of a cube is

$a {}^{3}$

where a is the side length,

Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally

The area of a square with side length a, is

${a}^{2}$

If we multiply that by the height of the cube, which is a.

${a}^{2} \times a = {a}^{3}$

That is the easy way to derive the formula of the volume of a cube.

Back on track, we know the volume so we must solve for a.

$125 = {a}^{3}$

Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.

To do this, we take the cube root of both sides

$\sqrt[3]{125} = \sqrt[3]{a {}^{3} }$

The cube root of 125 is 5 so

$5 = a$

5 cm

$8 = {a}^{3}$

$\sqrt[3]{8} = \sqrt[3]{ {a}^{3} }$

$2 = a$

2 ft

$343 = {a}^{3}$

$a = 7$

7 yd

$1000 = a {}^{3}$

$10 = a$

10 mm

$1728 = {a}^{3}$

$a = 12$

12 in. or 1 ft

$1 = {a}^{3}$

$a = 1$

1 m

4 0

1 year ago

Read 2 more answers

Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,

MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

$=0-0+6$

$=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴ x coordinate = $\frac{-(-7)}{2 \times 1}$

$\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

= -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height $h(x)=0$ . The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$ .

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0

2 years ago