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Sedbober [7]
3 years ago
15

Help me please in question 5

Mathematics
2 answers:
Hoochie [10]3 years ago
8 0

Given that Volume of triangular prism = 216 cubic centimetre

Given that Height of the pencil = 12 centimetre

Now we have to find the area of the base of the prism means find the area of triangular part.

Volume of triangular prism is given by formula:

Volume of triangular prism = (Area of base) x (Height of the prism)

now plug the given values

216= (Area of the base) x 12

Area of the base

18= Area of the base

Hence final answer is 18 square centimetres.

seropon [69]3 years ago
4 0

Answer:

36

Step-by-step explanation:

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The graph shows the result of a matrix transformation, where the pre-image has dashed lines Which matrix operation is represente
diamong [38]

The <em>matrix operation</em> is the <em>addition subtraction </em>and <em>multiplication </em>involving matrices.  The coordinates of the <em>image </em>can be represented as a matrix obtained from the coordinates of the <em>preimage </em>through matrix operations

The best correct option is<u> option D)</u>,<em> (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows</em>:

\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]

The reason the above matrix value for the matrix operation are correct are as follows:

Known parameters:

From the diagram, we have that the <em>coordinates</em> of the vertices of the preimage are;

(2, -5), (3, -7), (9, -3), and (7, -7)

The <em>coordinates </em>of the vertices of the image are;

(2, 5), (3, 7), (9, 3), and (7, 7)

Required:

The matrix operation for the transformation of the preimage points to the image points

Solution:

The transformation from the coordinates of the vertices of primage to the  vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by <em>multiplying by</em> (-1)

Therefore, the required matrix operation is presented as follows:

\mathbf{\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]} =\left[\begin{array}{rrrr}9&7&3&2\\3&7&7&5\end{array}\right]

Therefore, the <em>best correct</em> option is option D)

Learn more about matrix operations here:

brainly.com/question/17141646

3 0
3 years ago
The distance from town a to town b is 5 miles and the distance from town b to town c is 4 miles. which of the following could No
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A. 1 because a to b is 5 miles and b to c is 4 miles so it couldn't be 1 mile
6 0
3 years ago
If the two triangles shown below are congruent, select the corresponding 1 point
nadya68 [22]

Answer:

SSS

Step-by-step explanation:

The two triangles both share a side (the middle line), and it is shown that the other lines are congruent to each other. So all 3 sides are congruent, meaning SSS is the postulate that proves this.

4 0
2 years ago
The area of a rectangle is 70 square inches.
podryga [215]
The correct answer is option a 

but i think there s a mistake .
is the value w represent length

4 0
3 years ago
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Hunter is going to graph the ordered pairs that are represented by this table on a coordinate plane.
Vesnalui [34]

Answer:

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Step-by-step explanation:

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3 years ago
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