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Fantom [35]
3 years ago
5

which of the following best describe the blue line in the image below A. The line constructed through point P that is parallel t

o line AB B. The line constructed through point P that is perpendicular to line AB C. The line constructed through point P that intersects line AB at two different points

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

Option B.

Step-by-step explanation:

Option A. "The line constructed through point P that is parallel to line B."

     Since parallel lines never intersect each other, a line intersecting line AB at point P will not be parallel.

Therefore, Option (A) is incorrect.

Option (B). "The line constructed through point P that is perpendicular to line AB."

    Since the angle between line AB and a line constructed through point P has been given as 90°, line through point P will be perpendicular to AB.

Therefore, Option (B) is the answer.

Option C. "The line constructed through point P that intersects line AB at two different points."

    Since, two perpendicular lines intersect each other at only one point, the line constructed from point P will not intersect line AB at two different points.

Therefore, Option C is not correct.

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Answer:

roberto

Step-by-step explanation:

6 0
3 years ago
Find the volume of a cylinder with radius 8cm and height 10 cm, correct to 2 decimal places.
serious [3.7K]

Answer:

2010.62cm^3

Step-by-step explanation:

The formula for the area of a circle is : \pi *radius^2

To work this out you would first have to work out the area of the circle. You can do this by multiplying pi by 8 squared, this gives you 201.06. This is because in order to calculate the volume you must calculate the area of one face of the shape.

The next step is to multiply 201.06 by 10, this gives you 2010.62.

1) Multiply pi by 8 squared.

\pi*8^2=201.06

2) Multiply 201.06 by 10.

201.06*10=2010.62cm^3

6 0
4 years ago
Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find out how much money is in
taurus [48]
6. the answer is 6. because 3x what she has is equal to 18 all u do is divide. u get six.

6 0
3 years ago
A Letter is Selected from the letters in the word ACCOMMODATION list all the possible types of outcomes
Phantasy [73]
You pick only one letter, so the possible outcomes are:
A,C,O,M,D,T, I, N

if you need to probability of each outcome:
A: 2/13 (there are 2 As and a total of 13 letters)
C: 2/13
O: 3/13

ans so on.
use your calculator to change each fraction to a decimal if needed. 
3 0
4 years ago
How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.
lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle \frac{2\pi }{3}

- That means its magnitude is 7 and its direction is  \frac{2\pi }{3}

∴ x = 7 cos(  \frac{2\pi }{3} )

∴ y = 7 sin(  \frac{2\pi }{3} )

∵ cos(  \frac{2\pi }{3} ) =  -\frac{1}{2}

∵ sin(  \frac{2\pi }{3} ) =  \frac{\sqrt{3}}{2}

- Substitute them in x and y

∴ x = (7)( -\frac{1}{2} )

∴ x = -3.5

∴ y = (7)( \frac{\sqrt{3}}{2} )

∴ y = 3.5\sqrt{3}

∴ The vector is <-3.5 , 3.5\sqrt{3}>

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5\sqrt{3} > = <3 + -3.5 , 4 + 3.5\sqrt{3} >

∴  <3 , 4> + <-3.5 , 3.5\sqrt{3}> = <-0.5 , 4+3.5\sqrt{3} >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

5 0
3 years ago
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