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konstantin123 [22]
3 years ago
12

A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume

of the pyramid? xy cm3 x2y cm3 xy2 cm3 x2y cm3

Mathematics
2 answers:
frutty [35]3 years ago
7 0

Answer:

B

Step-by-step explanation:

solniwko [45]3 years ago
3 0

Answer:

Thus, volume of pyramid = \frac{1}{3}x^2y cm³

Step-by-step explanation:

Given: A solid right pyramid has a square base with an edge length of x cm and a height of y cm.

We have to choose from the given options an expression for the volume of the pyramid.

Volume of pyramid = \frac{1}{3}\times Area\ of\ base \times height

Since base is a square with edge length x cm.

Area of square = (side)² = x²

Thus, volume of pyramid = \frac{1}{3}x^2y cm³


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BD is the angle bisector of ZABC.
mojhsa [17]

Answer:

B:25°

Step-by-step explanation:

Now \angle ABC gets bisected by BD.

\angle ABD=25^{\circ}

Since, the angle is bisected, this means that the angle is split into two equal parts or the angle is halved.

We know that one of the angles is 25^{\circ} so the other angle has to be 25^{\circ} also.

Hence, the m\angle DBC=25^{\circ}.

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3 years ago
A polygon is composed of two or more line segments?
Rama09 [41]
The smallest polygon has three line segments, it is triangle.
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A teacher dropped 8 coins on the table and counted the number of tails to simulate the number of questions a student might guess
Tomtit [17]

Answer:

Get 0 tails (correct answers in the test)

Get 5 tails (correct answers in the test)

Step-by-step explanation:

This is a problem of empirical probability calculation, since the teacher tries to find by means of the experimental method, the number of correct answers that a student could correctly guess in a true / false test with 8 questions.

If the teacher throws the 8 coins and then counts the number of tails, the graph shows the frequency with which 1, 2, 3, 4, 5, 6, 7 and 8 tails are obtained in the 100 attempts.

Therefore, the least probable result was the one that was obtained less frequently in the experiment or, in other words, the one that contains fewer points in the diagram, which in this case are:

Get 0 tails (correct answers in the test)

Get 5 tails (correct answers in the test)

8 0
3 years ago
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Describe each of the following transformation that maps the figures described below. Be specific by naming lines of reflection,
Flura [38]

Answer:

Part A: Figure 1 → Figure 4

Rigid Transformation

Equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin which are types of rigid transformation

Part B: Figure 2 → Figure 5

Similarity transformation

Figure 5 is Figure 2 dilated by a scale factor of 1/2, which is a form of a similarity transformation

Step-by-step explanation:

Part A: Figure 1 → Figure 4

The coordinates of the vertices of the preimage are;

(5, 10), (2, 4), (9, 2)

The coordinates of the vertices of the image are;

(-9, -2), (-2, -4), (-5, -10)

Which is equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin

Part B: Figure 2 → Figure 5

The coordinate points of figure 2 are;

(-9, 2), (-5, 10), and (-2, 4)

The coordinate points of figure 5 are;

(1, 2), (2.5, -1), and (4.5, 3)

The lengths of the sides of figure 2 are;

√((10 - 2)² + ((-5) - (-9))²) = 4·√5

√((10 - 4)² + ((-5) - (-2))²) = 3·√5

√((2 - 4)² + ((-9) - (-2))²) = √53

The lengths of the sides of figure 5 are;

√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2

√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5

√((4.5 - 1)² + (3 - 2)²) = (√53)/2

Therefore. Figure 5 is Figure 2 dilated by a scale factor of 1/2

Therefore, given that the sides of Figure 2 and Figure 5 are rotated by 180°

We have;

Figure 5 is obtained as follows;

1) The rotation of figure 2 by 180°, clockwise or anticlockwise about the origin to get;

(-9, 2), (-5, 10), and (-2, 4) → (9, -2), (5, -10), and (2, -4)

2) The image is translated left by 1 blocks and up by 6 blocks as follows;

(9, -2), (5, -10), and (2, -4)  → (8, 4), (4, -4), and (1, 2)

3) The image is then dilated by a scale factor of 1/2  with a center of dilation of (1, 2) to get;

Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).

8 0
3 years ago
Find the values of x and y
Aloiza [94]

Answer:

x = 9.2

y = 5.5

Step-by-step explanation:

y/5 = 6/y

y^2 = 30

y = 5.5

x/5 = 17/x

x^2 = 85

x = 9.2

7 0
3 years ago
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