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Aleksandr-060686 [28]
3 years ago
7

What is the length of the diagonal of of the rectangle

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Step-by-step explanation:

use formula of length of the diagonal of rectangle equal to d/rt2

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A padlock for your gym locker uses a three number sequence to open the lock. if the numbers go from 1 to 28, how many different
aalyn [17]

Answer:

19,656

Step-by-step explanation:

Numbers used in locker = 3

Total numbers available = 28

Repetition is not allowed, so one number can be used only once. The order of number matters in the locker e.g. 123 password is not the same as 231. Since, the order of numbers matter, this is a problem of permutations. We need to find the number of different sequences formed with 28 numbers taken 3 at a time. This can be represented as 28P3

The formula for permutations is:

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

For the given case, we will have:

^{28}P_{3}=\frac{28!}{(28-3)!}\\\\ = \frac{28!}{25!}\\\\ = 19656

This means, 19,656 different 3 numbered sequences are possible for the locker.

8 0
3 years ago
A line passes through the points (-1, -6) and (-4, 3). What is the equation of this line in slope-intercept form?
arsen [322]
Slope is (-6-3)/(-1- -4) = -9/3 = -3
So it is A.
5 0
3 years ago
100 points
saw5 [17]

Answer:

$4,500

Step-by-step explanation:

For simple interest,

I = prt,

where

I = interest

p = principal

r = annual interest rate

t = number of years

We have p = $5,000, r = 9% = 0.09; t = 1 year

I = $5,000 × 0.09 × 1

I = $450

5 0
3 years ago
Read 2 more answers
Which value could be substituted for x in order to make the inequality true? 8 < x < 8.5
stealth61 [152]

Answer:

8 < 8.2 <8.5

Step-by-step explanation:

Pick a number that is greater than 8 but less than 8.5.

Ex: 8.1, 8.2, 8.3, 8.4

7 0
2 years ago
If 390 words were typed in 6 min how many words were typed in 10 min
umka21 [38]
390/6=65
65x10+650
650 is your answer
hope this helps
3 0
3 years ago
Read 2 more answers
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