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2 years ago

How many times can 12 go into 307

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

5 0

12 can only go into 30 about 25 whole times.

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A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an

mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, option (1) is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

$\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin C=\frac{AB}{AC}$

Putting values,

$\sin 30^\circ} =\frac{10}{AC}$

We know, $\sin 30^\circ}=\frac{1}{2}$

$\frac{1}{2} =\frac{10}{AC}$

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, option (1) is correct.

8 0

2 years ago

Read 2 more answers

Find the next four terms of the sequence 5, 4, 9, 13, 22

Ganezh [65]

Hello,

It is the Fibonacci 's suit.

$u_1=5\\u_2=4\\u_3=u_1+u_2=5+4=9\\u_4=u_2+u_3=4+9=13\\u_5=u_3+u_4=9+13=22\\u_6=13+22=35\\u_7=22+35=57\\u_8=35+57=92\\u_9=57+92=149\\\\\\\boxed{u_{n+2}=u_{n}+u_{n+1}}\\$

8 0

2 years ago

7/9 divided by 3/9 draw a model please help ASAP

Free_Kalibri [48]

Answer:

7/3

Step-by-step explanation:

i hope this works :)

6 0

2 years ago

How to factorize a)x³-4x b) 9t²-u² hurry up

Bas_tet [7]

A) the greatest common factor is how to factors something

for this case x is the gcf

x(x^2 - 4) is the answer

B) Cannot be factored there is no common factor.

7 0

3 years ago

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Students are selling hand-made magnets at the school craft fair. One magnet costs $0.30, 2 magnets cost $0.43, 3 magnets cost $0

Sliva [168]

1 = 0.30
2 = 0.43
3 = 0.56
4 = 0.69
5 = 0.82
6= 0.95

To find by how much you are adding every time , you have to subtract the 2 magnet cost (0.43) from the 1 magnet cost (0.30) and this equals 0.13

6 0

3 years ago