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Black_prince [1.1K]
3 years ago
7

Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enoug

h to describe the position of an object on a flat surface
Mathematics
1 answer:
posledela3 years ago
5 0

Answer:

We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.

Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.

So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.

For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.

Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.

This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the circle graph sh
mel-nik [20]

Answer: 500 people

Step-by-step explanation:

Let there are x people in the survey.

According to the question,

People who like football as their favorite sports = 42 % of x = 0.42 x

People who like baseball as their favorite sports = 33 % of x = 0.33 x

People who like soccer as their favorite sports = 25 % of x = 0.25 x

But, 210 people said football was their favorite sport.

⇒ 0.42 x = 210

⇒ 42 x = 21000

⇒ x = 500

Therefore, there are 500 people in the survey.


4 0
3 years ago
Read 2 more answers
How do you solve this triangle by using the law of sine where
mars1129 [50]
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915

Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412 </span> / 5.2915
</span> <span><span><span>sin(B) = 0.6546571451 </span> </span> </span> 
Angle B = 40.894 Degrees

sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees

angle C = 60 Degrees


7 0
4 years ago
If I paid $205.50 for a phone that was 70% off, then what was the original price of the phone
slega [8]

Answer:

£349.35

Step-by-step explanation:

okay so firstly add the % to 100 = 170

then do 170 divided by 100 and multiply by the total ($205.50)

this would give you $349.35 <----- this is your orignal price (before the sale 70% off)

4 0
3 years ago
Solve for x:<br> 4(1-x)+3x=-2(x+1)
Orlov [11]

Answer:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

x  =  − 6

Step-by-step explanation:

I hope this helps! Have a nice day!

8 0
3 years ago
See the attached image for the question
Tpy6a [65]

Answer:

2

Step-by-step explanation:

7/5 + 3/5 so 2 is the answer

5 0
3 years ago
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