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ladessa [460]
3 years ago
12

which of the following best describes the line the arrow is pointing to in the regular pentagon below? A. Leg B. Diagonal C. Bas

e D. Apothem
Mathematics
1 answer:
Tomtit [17]3 years ago
8 0
It would be B. Diagonal
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Daniel stocks the shelves of his fathers toy store at night.On the top shrlf,he puts only boxed dolls and stuffed animals. The r
kakasveta [241]

Answer:

9

Step-by-step explanation:

x-number of stuffed animals

7:16

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7:7+x

16=7+x

x=9

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4 years ago
(show the supposition, proof and conclusion)
larisa86 [58]

Answer:

Step-by-step explanation:

We are given that a and b are rational numbers where b\neq0 and x is irrational number .

We have to prove a+bx is irrational number by contradiction.

Supposition:let  a+bx is a rational number then it can be written in \frac{p}{q} form

a+bx=\frac{p}{q} where q\neq0 where p and q are integers.

Proof:a+bx=\frac{p}{q}

After dividing p and q by common factor except 1 then we get

a+bx=\frac{r}{s}

r and s are coprime therefore, there is no common factor of r and s except 1.

a+bx=\frac{r}{s} where r and s are integers.

bx=\frac{r}{s}-a

x=\frac{\frac{r}{s}-a}{b}

When we subtract one rational from other rational number then we get again a rational number and we divide one rational by other rational number then we get quotient number which is also rational.

Therefore, the number on the right hand of equal to is rational number but x is a irrational number .A rational number is not equal to an irrational number .Therefore, it is contradict by taking a+bx is a rational number .Hence, a+bx is an irrational number.

Conclusion: a+bx is an irrational number.

5 0
3 years ago
John can type 45 words per min (45/min) he has to type a report for Mrs. Ramey that must be 2700 words. How many hours will it t
Sav [38]

Answer:

It will take 1 hour to type the report.

Step-by-step explanation:

The time that will take to John to type the report is:

\frac{1 min}{45 w}*2700 w = 60 min

Since we have 60 minutes in 1 hour, the time in hours is:

\frac{1 h}{60 min}*60min = 1 h

Therefore, it will take 1 hour to type the report.

I hope it helps you!

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3 years ago
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Molodets [167]

Answer:

198.00

Step-by-step explanation:

I am not sure but I hope this helps some.

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A hawk can travel at a speed of 120 miles per hour. How long would it take to travel 840 miles without stopping?​
Scilla [17]

Answer:

7 hours

Step-by-step explanation:

120 x 7 = 840

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3 years ago
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