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BaLLatris [955]
3 years ago
15

Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options.

Mathematics
2 answers:
grigory [225]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

The volume is 1/3 * height * area of the base so we need the height and this area to find the volume. Note: if we join the point S to each of the vertices of the base we get 6 equilateral triangles so knowing the length of a side of the base we can find the area of the base.

The following lengths can be used:

XY and ST  We can get the area of the base knowing the length of XY and ST is the height.

VU and TW. From VU we can get the area of the base and the length of SW and from the length of TW and SW we can get the height.

TX and WX . From WX we can get the area of the base and the length of SX and from TX and SX we can find the height.

IrinaK [193]3 years ago
6 0

Answer:

A, B, D on edg

Step-by-step explanation:

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Answer:

Where are the options?

Step-by-step explanation:

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3 years ago
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A biologist is studying the exponential growth of a colony of bacterial cells. The table gives the
leonid [27]

The exponential function that represents the number of cells present at x hours is y = 100(2)ˣ

<h3>What is an exponential function?</h3>

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Let y represent the number of cells after x hours.

From the table, at point (0, 100):

100 = ab⁰

a = 100

At point (1, 200):

200 = 100b

b = 2

The exponential function is y = 100(2)ˣ

Find out more on exponential function at: brainly.com/question/12940982

3 0
2 years ago
⚡️⚡️Really need help, would appreciate it⚡️⚡️
pentagon [3]

Answer:

The answer to your question is letter A. Regular size is cheaper than Economy size by $0.0003 per gram

Step-by-step explanation:

Cost of 1 gr of economy size

  5000 gr (5 kg) -------------------  $ 5.15

         1 gr            --------------------     X

x = 1 x 5.15 / 5000 = $0.0010

Cost of 1 gr of regular size

  820 gr -------------------   $0.60

       1 gr --------------------   x

x = 1 x 0.6 / 820 = $ 0.0007

Difference of cost  = $0.0010 - $0.0007 = $0.0003

3 0
3 years ago
Kelly was asked to determine whether △KLN is congruent to △MNL. She noted that KL ≅ MN, LM ≅ KN, and that the three pairs of cor
Art [367]

Answer:

<h2>Kelly is wrong, with this congruent parts, we can conclude that triangles are congruent.</h2>

Step-by-step explanation:

To demonstrate congruent triangles, we need to use the proper postulates. There are at least 5 postulates we can use.

  • Angle-Angle-Side Theorem (AAS theorem).
  • Hypotenuse-Leg Theorem (HL theorem).
  • Side-Side-Side Postulate (SSS postulate).
  • Angle-Side-Angle Postulate (ASA postulate).
  • Side-Angle-Side Postulate (SAS postulate).

In this case, Kelly SAS postulate, because the corresponding sides-angles-sides are congruent, i.e., KL ≅ MN and LM ≅ KN, also, all corresponding angles are congruent.

So, as you can see, only using SAS postulate, the congruency can be demonstrated. (Refer to the image attached to see an example of SAS postulate)

8 0
3 years ago
The graph shows a reflection in the x-axis. The matrix M such that, for any point (x, y), M(x, y) = (x', y') is
Rashid [163]

Answer:

This is a reflection about the x-axis.


Step-by-step explanation:

A reflection about the x-axis has the rule

[x,y]-> [x,-y].

Therefore

M[x,y] = [x,-y}

Let M=

|a  b|

|c  d|

Then the matrix multiplication gives

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cx+dy=-y............(2)

Solving the previous equations (1) and (2) gives

a=1, b=0

c=0, d=-1

giving M as

|1  0|

|0 -1|


4 0
3 years ago
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