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erik [133]
3 years ago
9

A CUCKOO CLOCK HAS BIRDS THAT POP OUT OF THEIR NESTS EVERY 6 MINUTES AND DANCERS THAT POP OUT EVERY 15 MINUTES THE BIRDS AND DAN

CERS HAVE JUST POPPED OUT AT THE SAME TIME WHEN WILL THIS HAPPEN AGAIN IN THE NEXT 60 MINUTES? sorry caps lock and i dont feel to write again
Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0

Answer:

After 30 minutes

Step-by-step explanation:

Birds pop out at:

6, 12, 18, 24, 30, 36, 42, 49, 54, 60 mins respectively [6 mins interval]

Also

Dancers pop out at:

15, 30, 45, 60 mins respectively [15 mins interval]

Since at birds and dancers have popped out now (let it be TIME 0), then what is the next number [in the number sequences above] where 2 of them are same??

Looking at the list, it is 30. Hence, It will happen again after 30 minutes.

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I need help for these questions please
Marat540 [252]
A) 90-55=35 since a right angle is 90 total\
b)ii
7 0
3 years ago
Which postulate or theorem can be used to
sveticcg [70]

Answer:

AA Similarity Postulate

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

step 1

Verify the proportion of the corresponding sides

\frac{PS}{PQ}=\frac{PT}{PR}

substitute

\frac{45}{20}=\frac{36}{16}

2.25=2.25 ----> is true

Corresponding sides are proportional

Triangle PQR is similar to Triangle PST

That means

Corresponding angles must be congruent

side QR is parallel side ST

and

m\angle PQR=m\angle PST ----> by corresponding angles

m\angle PRQ=m\angle PTS --> by corresponding angles

so

PQR is similar to PST by AA Similarity Postulate

4 0
4 years ago
Convert 3.521 g to ___ mg
inna [77]

To convert any unit to it's "milli-" form always multiply the given value by 1000. The new value will be the value of in the "milli-" form.

The question asked to us is to convert 3.521 g to mg (or milligram). Thus, all that we need to do is to multiply 3.521 with 1000 and we will get the corresponding value in milligrams. Thus, in mg, 3.521 g is:

3.521\times 1000=3521 mg

6 0
3 years ago
Read 2 more answers
(x-4)/5=9-(2x-41)/9
jok3333 [9.3K]
For this question, you have to take Least Common Multiplier for which in this case will be "45" as, the denominators can get similar and get multiplied by a same value to form a similar expression. This allows us to cancel out them by common factors. Full process shown below.

\mathbf{Given \: \: Expression: \: \dfrac{x - 4}{5} = 9 - \dfrac{2x - 41}{9}}

\mathbf{\dfrac{x - 4}{5} \times 45 = 9 \times 45 - \dfrac{2x - 41}{9} \times 45}

\mathbf{9(x - 4) = 405 - 5 (2x - 41)}

\mathbf{9x - 36 = 405 - 10x + 205}

\mathbf{9x - 36 = - 10x + 610}

\mathbf{9x - 36 + 36 = - 10x + 610 + 36}

\mathbf{9x = - 10x + 646}

\mathbf{9x + 10x = - 10x + 646 + 10x}

\mathbf{19x = 646}

\mathbf{\dfrac{19x}{19} = \dfrac{646}{19}}

\mathbf{\therefore \quad x = 34}

\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is; \: \: x = 34}}}

Hope it helps.
3 0
3 years ago
A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)
Eva8 [605]
V=(4/3)pir^3
r=12
V=(4/3)pi12^3
V=(4/3)pi1728
V=2304pi in^3
5 0
3 years ago
Read 2 more answers
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