Find the equation of the line

Drag the tiles to the correct boxes to complete the pairs.

erastova [34]

Answer:

√8 ==> 2 units, 2 units

√7 ==> √5 units, √2 units

√5 ==> 1 unit, 2 units

3 ==> >2 units, √5 units

Step-by-step explanation:

To determine which pair of legs that matches a hypotenuse length to create a right triangle, recall the Pythagorean theorem, which holds that, for a right angle triangle, the square of the hypotenuse (c²) = the sum of the square of each leg length (a² + b²)

Using c² = a² + b², let's find the hypotenuse length for each given pairs of leg.

=>√5 units, √2 units

c² = (√5)² + (√2)²

c² = 5 + 2 = 7

c = √7

The hypothenuse length that matches √5 units, √2 units is √7

=>√3 units, 4 units

c² = (√3)² + (4)²

c² = 3 + 16 = 19

c = √19

This given pair of legs doesn't match any given hypotenuse length

=>2 units, √5 units

c² = (2)² + (√5)²

c² = 4 + 5 = 9

c = √9 = 3

legs 2 units, and √5 units matche hypotenuse length of 3

=>2 units, 2 units

c² = 2² + 2² = 4 + 4

c² = 8

c = √8

Legs 2 units, and 2 units matche hypotenuse length of √8

=> 1 unit, 2 units

c² = 1² + 2² = 1 + 4

c² = 5

c = √5

Leg lengths, 1 unit and 2 units match the hypotenuse length, √5

3 0

3 years ago

An artist uses different types of paper to create her masterpieces. She has shiny metallic paper and pink glittery paper. The sh

Naya [18.7K]

Answer:

it is 24 . Logically in my idea .

4 0

3 years ago

The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.

QveST [7]

Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.

<h3>What is the Length of an Arc?</h3>

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}$

where

θ is the angle, that which arc creates at the centre of the circle in degree.

Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,

The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m

Hence, the length of the arc m∠QPR is 2.8334π m.

Learn more about Length of an Arc:

brainly.com/question/1577784

#SPJ1

4 0

2 years ago

What kind of triangle does it form?

Gwar [14]

Answer:

It forms a scalene triangle

Step-by-step explanation:

This is because scalene triangle does not have any of its sides equal.

$\sqrt{111}$ is also 10.54.And looking at the measurements none of it are equal to each other so therefore it is a scalene triangle

7 0

3 years ago

A student charges twenty dollars per hour to type college papers. The student's average typing speed is fifty words per minute.

coldgirl [10]

Answer:

The student should charge $210 for typing the paper ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- The rate of the student's typing is 50 words per minute

- The students charges twenty dollars per hour to type the college

papers

- There is a paper contains 31,500 words

- We want to now how much the student should charge for it

* At first lets find his rate per hour

∵ 1 hour = 60 minutes

∴ 1 minute = 1/60 hours

∵ His rate = 50 words / 1 minute

- Lets change the minute to hour

∴ His rate = 50/(1 × 1/60) = 3000 words per hour

* Lets find the time he needs to finish the paper

∵ The paper contains 31,500 words

∵ Time = The number of words ÷ his rate of typing

∵ his rate is 3000 words per hour

∴ Time = 31,500 ÷ 3000 = 10.5 hours

∴ He needs 10.5 hours to finish the paper

∵ He charges $20 per hour

∵ The time to finish the paper is 10.5 hours

∵ The price of typing the paper = the charge per hour × number

of hours

∴ The price of typing the paper = 20 × 10.5 = 210

∴ The student should charge $210 for typing the paper

7 0

3 years ago

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