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icang [17]
3 years ago
14

A rectangular prism made of wood has a length of 10 centimeters, a width of 8 centimeters, and a height of 12 centimeters. A rec

tangular hole with a length of 2 centimeters and a width of 3 centimeters is cut through the prism as shown. What is the volume of the resulting figure? A. 882 cubic centimeters B. 888 cubic centimeters C. 960 cubic centimeters D. 1,032 cubic centimeters
Mathematics
2 answers:
Novay_Z [31]3 years ago
8 0
D. 1032 cubic centimeters I think
Flauer [41]3 years ago
7 0

Answer:888 cubic centimeters

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × height × width

Length = 10 centimeters

Width = 8 centimeters

Height = 12 centimeters

Therefore, the volume of the rectangular prism would be

10 × 8 × 12 = 960 centimeters³

A rectangular hole with a length of 2 centimeters and a width of 3 centimeters is cut through the prism. The height of the hole would also be 12 centimeters.

Therefore, the volume of the rectangular hole would be

2 × 3 ×12 = 72 cm³

the volume of the resulting figure would be

960 - 72 = 888 cm³

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A ribbon measures <br> 4.5 meters. Express this length in millimeters.
Veseljchak [2.6K]

Answer:

4500 meters.

Step-by-step explanation:

1 meter = 1000 millimeters so just do the number of meters (in this case 4.5) times 1000.

8 0
3 years ago
Find the equation of the linear function represented by the table below in slope intercept form.
Ulleksa [173]

Step-by-step explanation:

let equation be y = mx + b.

m = (9-5)/(3-1) = 2

sub (1, 5):

5 = 2(1) + b

b = 3

therefore the equation: y = 2x + 3

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

8 0
3 years ago
I need help and be available as of right now plz!
scZoUnD [109]
Where's your numbers?

Can't help because I have no information, sorry

8 0
3 years ago
Suppose g(x)=f(x+2)-3
kap26 [50]

The transformations which map f(x) to g(x) according to the equation are; Translation of f(x) 2 units to the left and 3 units upwards.

<h3>Which translations maps f(x) to g(x)?</h3>

The equation given in the task content is as follows;

  • g(x)=f(x+2)-3

It therefore follows that the transformations which would produce function g(x) from f(x) involves a 2 units translation to the left and a 3 units translation upward.

Remarks:

The complete question requires that the transformations from f(x) to g(x) be identified.

Read more on transformations;

brainly.com/question/2689696

#SPJ1

8 0
2 years ago
6 A U 3 3 1 2 3 What is the equation of the line in slope-intercept form? The equation of the line is​
AleksandrR [38]

Answer:

y = -\frac{5}{4} x+5

Step-by-step explanation:

1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points.  Use the slope formula m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of those points into it, then simplify:

m =\frac{0-5}{4-0} \\m = \frac{-5}{4}

So, the slope is -\frac{5}{4}.

2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.

3) Substitute values for m and b in the slope-intercept formula, y = mx + b, to write the equation of the line. Since m represents the slope, substitute -\frac{5}{4} for it. Since b represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:

y = -\frac{5}{4} x+5

5 0
3 years ago
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