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DENIUS [597]
3 years ago
12

Determine whether each set of side lengths could be the sides of a right triangle.

Mathematics
1 answer:
garri49 [273]3 years ago
7 0
It is 10.5cm, 20.8cm, 23.3cm
as (10.5)^2 + (20.8)^2 = 542.89 { pythagorus theorem}
and (23.3)^2 = 542.89

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A bathtub contains 12 gallons of water. With these 12 gallons, the bathtub is only 30% full. How many gallons of water can the b
Pachacha [2.7K]

Answer:

40 gallons

Step-by-step explanation:

Let the number of gallons that would completely fill the bathtub be represented by N.

Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;

30% of N = 12

\frac{30}{100} x N = 12

30N = 12 x 100

30N = 1200

divide both sides by 30,

N = \frac{1200}{30}

   = 40

The number of gallons that would completely fill the bathtub is 40 gallons.

6 0
2 years ago
Please help me and my son I am confused
Agata [3.3K]

Answer:

-13p^{4} - 8p^{2} + 4p + 3

Step-by-step explanation:

I am having a little trouble reading the number.  I think 5 is the question number and not part of the problem.  I think this is the problem:

(4p - 6p^{4} - 3) - (8p^{2} + 7p^{4} - 6)  You take the opposite of everything inside the second set of parentheses.  You can think of it as multiplying through by -1

4p - 6p^{4} - 3 - 8p^{2} - 7p^{4} + 6  Now we combine like terms.  That is the numbers with the same variable p and the same power of p.

-13p^{4} - 8p^{2} + 4p + 3

4 0
2 years ago
Given: Measure of arc AB = measure of arc BC,
emmasim [6.3K]

9514 1404 393

Answer:

  100°

Step-by-step explanation:

The relevant relation for angle x is ...

  x = (AB +DE)/2

and for angle y, it is ...

  y =(AC -DE)/2

Using the second relation to write an expression for DE, we have ...

  DE = AC -2y

In the first equation, this lets us write ...

  x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2

  2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2

  (2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3

  AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values

  AC = 100°

6 0
3 years ago
The university police department keeps track of the number of tickets it write in a year. Last year the campus police wrote 1460
AlladinOne [14]

Answer:

2

Step-by-step explanation:

We are given that Ticket writing on campus follows a Poisson process.

Last year the campus police wrote 1460 tickets

So, X \sim Poisson (1460 / year)

1 year = 365 days

So, E(Y) =\frac{1460}{365}=4

So,  the standard deviation of the number of tickets written per day by the campus police = \sqrt{4} =2

Hence the standard deviation of the number of tickets written per day by the campus police is 2

5 0
3 years ago
Jordan bought 7.06 meters of rope.What is the word name?
dexar [7]

seven ones and 6 hundredths

I hope this helps you

3 0
2 years ago
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