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2 years ago

A coordinate system, or ____________________, is used to locate points in a 2-dimensional plane.

Mathematics

1 answer:

andreev551 [17]2 years ago

6 0

Answer:

A coordinate system,or Coordinate plain ,is used to locate points in a 2-dimensional plane.

explanation:

A coordinate plain is formed by the intersection of two lines.One line is vertical and the other is horizontal.The vertical line is called y- axis and the horizontal line is called x-axis. It is two dimensional plane,which means it has length and breadth but no depth.The point where both the lines intersect is called the point of origin.Any point can be located on the coordinate plain by numbers(x,y). These pair of numbers are called coordinates.

It is used to plot points and lines.This system explains algebraic concepts .it has four equal divisions called quadrants namely I ,II,III,IV.

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part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.

andreev551 [17]

Answer: $\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}$

<u>Step-by-Step Explanation:</u>

Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>

$5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18

$6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}$

Note: 8² + 15² = hypotenuse² → hypotenuse = 17

$7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}$

Note: hypotenuse not needed for tan

$8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}$

Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10

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2 years ago

Round 399,411 to the nearest hundredth thousandth

melamori03 [73]

The nine rounds up so it would be 400,000

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3 years ago

The area of a 12-cm-wide rectangle is 288 cm^2 what is its length?

densk [106]

Answer:

24cm

Step-by-step explanation:

The area of the rectangle is length × breadth. You already know the area and the breadth, so you can find the length.

288cm² = length × 12cm

length = 288cm² ÷ 12cm

= 24cm

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2 years ago

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horrorfan [7]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

The driving distance between Manchester and london is 195 miles. Fairs intends to travel from Manchester to London by coach. The

Nadya [2.5K]

Answer:

7:24 pm

Time taken will be longer

Step-by-step explanation:

Given that:

Distance between Manchester and London = 195 miles

Departure time = 3.30 pm

Average speed of Coach = 50 mph

Arrival time in London :

Time taken = distance / speed

Time taken = 195 / 50 = 3.9 hours (3 hours (0.9 * 60) = 3 hours 54 minutes

= 3:30 pm + 3 hours 54 minutes = 7:24 pm

If the speed is Lower then the Timetaken will be longer and subsequently coach will arrive after 7:24 pm

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2 years ago