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WINSTONCH [101]
2 years ago
11

If pentagon ABCDE is rotated 180 degrees around the origin to create pentagon A’B’C’D’E’, what is the ordered pair of point A’?

Mathematics
1 answer:
Semmy [17]2 years ago
4 0

Answer:

(A)

Step-by-step explanation:

Point A is at (-2,4)

Rule of a 180° rotation about the origin: (x,y) --> (-x,-y)

Using the rule, (-2,4) will become (2,-4).

A' should be (2,-4) or Option A.  

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Adam reduces a 14 inch long document on the photocopier. The copy is 0.6 times as long. The type on the reduced document is too
Oksanka [162]
14 inch document....it is reduced to 0.6 times as long...
14 * 0.6 = 8.4 inches long
it is too small, so he enlarges it 1.4 times...
8.4 * 1.4 = 11.76 inches <===
7 0
2 years ago
jose is choosing a 3-letter password from the letters a,b,c,d. the password cannot have the same letter repeated in it. how many
kvasek [131]
Alright, so we are dealing with permutations. Permutations are the number of combinations in a specific order possible for the set. 

There's 4 letters, each one can be paired with 3 other letters, but those letters could be in different orders. To figure out how many variations of each combination there are (aka the number of permutations) use this formula:

_{n}P_{r}= \frac{n!}{(n-r)!}

r= number of elements in the subset

n= number of elements in the set

P= permutations of the set

There are only 3 elements in the subset because there is 1 that will not be repeated in each set, and there are 4 elements in the set.

Here's the math:

_{n}P_{r}= \frac{n!}{(n-r)!}

_{4}P_{3}= \frac{4!}{(4-3)!}

_{4}P_{3}= \frac{4!}{(1)!}

_{4}P_{3}= \frac{4(3)(2)(1)}{1}

_{4}P_{3}=24

There are 24 permutations. I can prove this by showing you the model:

ABCD, ABDC, ACBD, ACDB, ADBC, ADCB are the 6 arrangements possible of the set starting with the letter A. Because there are 4 letters, the total amount of permutations without repeated letters is 4 (letters) times 6 (possible arrangements), which equals 24.

Hope this helps!

Answer: 24 passwords are possible
5 0
2 years ago
What is the solution to the linear equation? 2.8y + 6 + 0.2y = 5y – 14 y = –10 y = –1 y = 1 y = 10
svp [43]

2.8y + 6 + 0.2y = 5y – 14

Simplify the left side:

3y +6 = 5y-14

Subtract 3y from both sides:

6 = 2y -14

Add 14 to each side:

2y =20

Divide both sides by 2:

y = 20 / 2

y = 10

5 0
2 years ago
Read 2 more answers
Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this p
goldfiish [28.3K]

Answer:

0.0406, 0.8284,0.7887

Step-by-step explanation:

Given that Mattel Corporation produces a remote-controlled car that requires three AA batteries

X is N(34, 5.5)

Hence sample size of 25 would follow a t distribution with df = 24

This is because sample size <30

t distribution with df 24 would be bell shaped symmetrical about the mean and unimodal.

Std error of sample mean = std dev /sqrt n=\frac{5.5}{5} \\=1.1

Prob (X>36) = P(t>\frac{36-34}{1.1} ) = P(t>1.82)\\= 0.04063

i.e nearly 4.1% of the sample would have a mean useful life of more than 36 hours

X>33.5 implies t>-0.45

=0.82837

=0.8284 proportion will have a mean useful life greater than 33.5 hours

Proportion between 33.5 and 36 hours

= 0.3284+0.4593=0.7887

6 0
2 years ago
Clint is in study hall reading the hunger games after 20 minutes he is on page 151 after 45 minutes he's on page 181 how many pa
Mademuasel [1]

After 20 minutes Clint is on page = 151

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Time slot = 45-20=25 minutes

Difference in pages in 25 minutes = 181-151=30 pages.

Lets suppose Clint is reading each page at same pace.

So , In 25 minutes, he can read = 30 pages

In 1 minute he can read = \frac{30}{25}=1.2 pages

Initial time is 20 minutes, so he can read the number of pages in 20 minutes = 20\times1.2=24

So, number of pages Clint read prior to study hall were =

151-24=127 pages.

6 0
2 years ago
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