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mylen [45]
3 years ago
10

What is the parallel line of y=2/3x+5

Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0

Answer:

just change the b and the line is parallel

Step-by-step explanation:

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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, <u>option (1) </u> 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, <u>option (1)</u> is correct.

8 0
3 years ago
Read 2 more answers
Matthew goes hiking every 12 days and swimming every 6 days. He did both
AlexFokin [52]
The next 18 days because your trying to see how many days it is until he does BOTH
3 0
3 years ago
A company makes 140 bags.
Igoryamba

Answer: 41/75 or 54.67%

Step-by-step explanation:

Buttons --- yes,  zips --- yes = 45  (compute as 150 - 37 - 45 - 23)

Buttons --- yes,  zips --- no  = 37

Buttons --- no, zips --- yes = 45

Buttons --- no, zips --- no = 23

Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75

7 0
2 years ago
Two quantities, x and y, are directly proportional. If x is halved, what happens to y?
Contact [7]
Y should also be halved.

For example, if x=4 and y=2, x=2y.
If x is halved for x=2, you get 2=2y, or y=1, which is still one half of x, so the proportion remains the same.
5 0
3 years ago
Read 2 more answers
Flying with a tailwind, a pilot flew an airplane 700 miles in 3.5 hours. flying into a headwind, the return trip took 5 hours. f
Naya [18.7K]
Velocity With the Wind = 700/3.5 = 200 mph
Velocity Against the Wind = 700/5 = 140 mph

Taking the average we get:
Airplane Velocity In Still Air = 170 mph
Wind Velocity = 30 mph

Source:
http://www.1728.org/veloccal.htm




8 0
3 years ago
Read 2 more answers
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