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Wittaler [7]
3 years ago
13

What triangle pairs can be mapped to each other using a single tranlation

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer: I think Figure 4 is the correct one

Step-by-step explanation:

It is not possible to map the triangle MNP and CDE together using just a single translation in Figure 3. With Figure 4, we can use a translation to map the triangle MNP and the triangle CDE. Accordingly, in the diagram, the triangle MNP and the triangle CDE can be translated to each other.

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Find the length BC
Nady [450]
Answer:

The length of BC = 12

Step-by-step explanation:

c^2 = a^2 + b^2

15^2 = 9^2 + b^2

225 = 81 + b^2

b^2 = 225 - 81

b^2 = 144

b = 12

The length of BC is 12
5 0
3 years ago
Prism A has a volume of 60 cubic units and a height of 12 units. Prism B has the same base area and height but a length of 15 un
stepladder [879]

Answer:

As both prism have the same base area and height there volumes are the same.

Step-by-step explanation:

Volume of the prism is given by

Volume of Prism A= base area* height

60 cubic units= base area* 12

base area= 60/12= 5 units

Volume of Prism B= base area* height

                              = 5 units*12 units

                             = 60 cubic units

As both prism have the same base area and height there volumes are the same.

The length of the longer side is the length of the triangle itself.

For example the length of longer side of prism A maybe 10 units but width may be 1/2 units

and

the length of longer side of prism B maybe 15 units but width may be 1/3 units

the total base area remains the same.

5 0
3 years ago
Read 2 more answers
30. The table below shows the number of ants in an ant farm on different
Nitella [24]

Answer:

a)10

b)5120

Step-by-step explanation:

Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91

Day                                                  Number of Ants

1                                                                       10

11                                                                      20

21                                                                     40

31                                                                     80

41                                                                     160

<em>51                                                                    320-----------------given</em>

<em>61                                                                    640------------------given</em>

<em>71                                                                    1280----------------given</em>

81                                                                   2560

91                                                                    5120

Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91

4 0
3 years ago
A hospital’s financial reimbursement payor mix indicates 35% of the patients have Medicare and 15% have Medicaid. Of those who h
Damm [24]

Using conditional probability, it is found that there is a 0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.

<h3>What is Conditional Probability?</h3>
  • <em>Conditional probability</em> is the <u>probability of one event happening, considering a previous event</u>. The formula is:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem, the events are:

  • Event A: Patient has Medicare.
  • Event B: Patient has Medicaid.

For the probabilities, we have that:

  • 35% of the patients have Medicare, hence P(A) = 0.35.
  • Of those who have Medicare, there is a 10% chance they also have Medicaid, hence P(B|A) = 0.1.

Then, applying the <em>conditional </em>probability:

P(B|A) = \frac{P(A \cap B)}{P(A)}

0.1 = \frac{P(A \cap B)}{0.35}

P(A \cap B) = 0.35(0.1)

P(A \cap B) = 0.035

0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.

You can learn more about conditional probability at brainly.com/question/14398287

4 0
3 years ago
The circle graph shows the percentage of time Jacob spent on homework in each subject last week.Time Spent on Homework12.5%25%ar
Goshia [24]

We are given a circle graph that shows the time spent on homework last week.

Jacob spent a total of 16 hours doing homework.

The time spent on doing science homework is given by

\begin{gathered} t_{\text{science}}=25\%\: of\: 16 \\ t_{\text{science}}=\frac{25}{100}\: \times\: 16=4\: \text{hours} \end{gathered}

The time spent on doing band practice is given by

\begin{gathered} t_{\text{band}}=12.5\%\: of\: 16 \\ t_{\text{science}}=\frac{12.5}{100}\: \times\: 16=2\: \text{hours} \end{gathered}

The difference between the time spent on science homework and band practice is

difference=t_{\text{science}}-t_{\text{band}}=4-2=2\: \text{hours}

Therefore, Jacob spent 2 more hours on science homework than band practice.

4 0
1 year ago
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