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dsp73
3 years ago
14

contestants in a dance-a-thon rest for the same amount of time every hour.a couple rests for 25 minutes in 5 hours.how long did

they rest in 8 hours?
Mathematics
2 answers:
son4ous [18]3 years ago
4 0
25×8=200
200÷5=40

answer: 40
vladimir1956 [14]3 years ago
3 0

Answer

Find out the how long did they rest in 8 hours.

To prove

As given

contestants in a dance-a-thon rest for the same amount of time every hour.

A couple rests for 25 minutes in 5 hours .

As

25 mintues = 5 hours

1\ hours = \frac{25}{5}\ mintues

1 hours = 5 mintues

Thus in 1hours a the dance -a-thon rest for 5 mintues.

Now for 8 hours.

8 hours = 8 × 5 mintues

           = 40 mintues

Therefore in 8 hours  a dance-a-thon rest for 40 mintues.




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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
wel

Answer:

z=\frac{15\sqrt{3}}{2}

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

tan(60)=\frac{y}{a}

now, we can solve for y

y=atan(60)

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

tan(30)=\frac{y}{15-a}

now, we can solve for y

y=(15-a)tan(30)

now, we can set them equal

and then we can solve for a

atan(60)=(15-a)tan(30)

\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3

4\sqrt{3}a=15\sqrt{3}

a=\frac{15}{4}

now, we can find b

b=15-\frac{15}{4}

b=\frac{45}{4}

now, we can use trig formula

cos(30)=\frac{b}{z}

now, we can find z

z=\frac{\frac{45}{4}}{cos(30)}

we can simplify it

and we get

z=\frac{15\sqrt{3}}{2}


4 0
3 years ago
What is the fewest number of expressions that a equation can contain?
nlexa [21]
The fewest number of expressions is 3.
8 0
3 years ago
Read 2 more answers
How do I get the answer??
Lubov Fominskaja [6]

Answer:

4√10

Step-by-step explanation:

Hello!

Let's first simplify the radical.

We can do this by expanding the radical:

We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.

Let's work with √45:

  • √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
  • √9 simplifies to 3, so it is 3√5

Now we can simplify the operation in the parenthesis by combining like terms:

  • 3√5 + √5
  • √5 + √5 + √5 + √5
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Now using the same rule as above, we can multiply the values:

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Your solution is 4√10

3 0
2 years ago
Complete the table using the equation w = m + 4
sveticcg [70]

Answer:

5+4 = 9

6+4 = 10

7+4 =11

Step-by-step explanation:

8 0
3 years ago
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Pam typed 2.5 pages in 15 minutes. At that rate, how many minutes will it take her to type 23 pages?
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In the given question, it is already mentioned that Pam takes 15 minutes to type 2.5 pages. this information should be used as the main information for reaching the desired answer.
Pam typed 2.5 pages in = 15 minutes
Then time taken by Pam to type 23 pages = (15/2.5) * 23
                                                                     = 345/2.5
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                                                                    = 138
So Pam will take 138 minutes to type 23 pages
3 0
3 years ago
Read 2 more answers
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