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Degger [83]
3 years ago
15

Which statements are true about the rectangular pyramid below? Select three options.

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

Options (1), (2) and (4)

Step-by-step explanation:

1). Since, pyramid given in the picture is a rectangular pyramid,

Area of the rectangular base = Length × Width

                                                = 6 × 4

                                                = 24 cm²

2). There are four lateral sides of the pyramid.

3). Lateral sides of the pyramid are not congruent.

4). Total surface area = Area of the lateral sides + Area of the rectangular base.

Area of one lateral side = \frac{1}{2}(\text{Base})(\text{Height})

                                       = \frac{1}{2}(4.6)(4)

                                       = 9.2 cm²

Area of second lateral side = \frac{1}{2}(6)(4)

                                              = 12 cm²

Area of the lateral sides = 2(9.2) + 2(12)

                                        = 42.4 cm²

Total surface area = 42.4 + 24

                              = 66.4 cm²          

5). Area of the one face = \frac{1}{2}(6)(4)

                                        = 12 cm²

Area of the second face = \frac{1}{2}(4.6)(4)

                                         = 9.2 cm²

Therefore, Options (1), (2) and (4) are the correct options.

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Pls answer ASAP<br>Lesson: Probability<br>Ty in advance
hammer [34]

The probability can be calculated as given because there are a total of 52 cards.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of card = 52

Number of king of heart = 1

P(getting a king of hearts) = 1/52

P(getting a spade) = 13/52 = 1/4

P (getting a 5 or a club) = (16/52) = 4/13

P(getting a 5 or a 7) = 4/52 + 4/52 = 8/52 = 2/13

P(getting a card which is not a spade) = 1 - 1/4 = 3/4

P(getting 11 of clubs) = 1/52

Thus, the probability can be calculated as given because there are a total of 52 cards.

Learn more about the probability here:

brainly.com/question/11234923

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8 0
2 years ago
Which statements describe a parabola? Check all that apply. A parabola is the set of all points equidistant from the directrix a
katen-ka-za [31]

Answer:

A parabola is the set of all points equidistant from the directrix and focus.

The line of symmetry intersects the focus and directrix

The line of symmetry and the directrix are perpendicular

Step-by-step explanation:

A parabola is the set of all points in a plane that are equidistant from a fixed point (focus) and a line (directrix).

The fixed line of a parabola is known as the directrix of the parabola.

The line of symmetry is a line that passes through the focus and is perpendicular to the directrix. The line of symmetry divides the parabola.

The directrix of a parabola does not intersect touch the parabola

8 0
3 years ago
Read 2 more answers
17. When a single set of values is randomly divided into two equal groups, explain how the means of these two groups may be very
joja [24]

If you take 2 groups of equal cardinality, it could happen that, for example, many of the higher values go to the first group and therefore, many of the low values go to the second group, making their respective means quite different and different from the original sample mean. This could even go worse due to the possible existence of outliers, that is, values that are far different than the sample mean. An outlier tend to disrup the mean of a sample, but for smaller samples the result is much dramatic.

For example, let X be {1,2,3,4,5,6,7,8,9,100}

The elements of X sum 145, hence the mean of X is 14,5. Let divide X in two groups

Y = {1,2,3,5,9}

Z = {4,6,7,8,100}

The elements of Y sum 20, so its mean is 4

The elements of Z sum 125, so its mean is 25

Both means are quite different from each other and quite different from the mean of X. Note that if we take the mean of the means the result is 4+25/2 = 14,5 which is equal to the mean of X.

7 0
3 years ago
How much of the circle is shaded? Write your answer as a fraction in simplest form. 1/3 and 1/7
Ludmilka [50]

Answer:

11/21

Step-by-step explanation:

1/3=7/21

1/7=3/21

(7+3)/21=10/21

21/21-10/21=11/21

Thus 11/21 of the circle is shaded.

6 0
3 years ago
A right triangular prism has a height of 26 cm and base edges of 10 cm, 24 cm, and 26 cm. What is the lateral area of the prism?
horrorfan [7]
The lateral area is 1560 cm².

The lateral area is the area of the lateral faces (the faces that are not bases).  The dimensions of these are:
24 by 26
10 by 26
26 by 26

These are all rectangles.  The area of each rectangle is given by length * width:
24*26 = 624
10*26 = 260
26*26 =676

624+260+676=1560
3 0
3 years ago
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