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emmasim [6.3K]
3 years ago
10

Find the L.C.M of 150,180and 240 leaving your answer as product of prime factors​

Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Answer:

2^4·3²·5²  = 3600

Step-by-step explanation:

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Working alone, Ryan can dig a 10 ft by 10 ft hole in 5 hours Castel can dig the same hole in 6 hours how long would it take them
Fed [463]

Answer:

The time taken by both boys to complete work = 2.73 hours

Step-by-step explanation:

Time taken by rayan to dig hole  T_{1} = 5 hours

Time taken by castel to dig hole T_{2} = 6 hours

Now the time taken by both persons working together  

T = \frac{T_{1} T_{2}  }{T_{1} + T_{2}}

Put all the values in above formula we get

T = \frac{ 30 }{6 + 5}

T = \frac{30}{11}

T = 2.73 hours

Therefore the time taken by both boys to complete work = 2.73 hours

6 0
3 years ago
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Find the measure of the numbered angle.
Mila [183]
The angle adjacent to angle 6 is the one we need to find first.  To do this, add the measures of the intercepted arcs and divide by 2.  60 + 50 = 110, and half of that is 55.  That means that both adjacent angles to the angle 6 are 55 (vertical angles are congruent).  The measure of all the angles added together is 360 and angle 6 is vertical to the other "sideways" angle, so they are congruent as well.  360 - 55 - 55 = 250.  Split that up between angle 6 and its vertical angle to get that each of those measure 125.  Angle 6 measures 125, choice b from above.
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7 less than three times the sum of a number and five
Evgen [1.6K]
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4 0
4 years ago
the captain of a boat knows that the lighthouse on the coast is 200 feet tall. he measures the angle of elevation to the top of
krek1111 [17]

Answer:

The boat is 5727.25ft far from the coast

Step-by-step explanation:

Refer the figure given.

We need to find how far is the boat from the coast = AB

Angle of elevation = 2°

The lighthouse on the coast is 200 feet tall, AC = 200 ft

We have

           tan2=\frac{AC}{AB}=\frac{200}{AB}\\\\AB=\frac{200}{tan2}=5727.25ft

The boat is 5727.25ft far from the coast

7 0
3 years ago
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