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Elanso [62]
2 years ago
10

What is the approximate length of RP? Round to the nearest tenth. 5. 6 units 6. 1 units 8. 3 units 9. 8 units.

Mathematics
1 answer:
kirza4 [7]2 years ago
6 0

The apporoximate length of the RP is 6.1 units, the correct option is B.

<h3>What is Pythagoras theorem?</h3>

The Pythagoras theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle.

Given

QR is the tangent to circle P at point Q.

QP = 3 units and QR = 5,.3 units

The length of the RP is given by;

\rm RP=\sqrt{QP^2+QR^2} \\\\RP=\sqrt{3^2+5.3^2}\\\\ RP=\sqrt{9+28.09} \\\\RP=\sqrt{37.09}\\\\RP= 6.1 \ units

Hence, the apporoximate length of the RP is 6.1 units.

To know more about Pythagoras theorem click the link given below.

brainly.com/question/11526258

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What is the argument of -5\sqrt{3}+ 5i?
Shtirlitz [24]

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 5\sqrt{3}. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is 5\sqrt{3}.

\tan(\theta)=\frac{5}{5\sqrt{3}}

\tan(\theta)=\frac{1}{\sqrt{3}}

\theta=\tan^{-1}(\frac{1}{\sqrt{3}})

\theta=30

So 90-30=60.

The answer therefore 60+90=150.

4 0
2 years ago
The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase b
maw [93]

Answer:

  80 m^2

Step-by-step explanation:

The given information lets you write two equations involving length (x) and width (y).

  • 2(x +y) = 36 . . . . the perimeter is 36 m
  • (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area

The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.

  xy +y +2x + 2 -xy = 30

  2x +y = 28 . . . . . . . subtract 2

Dividing the first equation by 2 gives

  x +y = 18

and subtracting this from the above equation gives ...

  (2x +y) -(x +y) = 28 -18

  x = 10

Then

  y = 18 -10 = 8

The area of the original rectangle is xy = 10·8 = 80 m^2.

4 0
3 years ago
compará y ordena de mayor a menor las siguientes cantidades 23.4 ,15/20 ,32.245,.056,4/10,50/100,8/9,.009,9/1000 y 54.45​
nignag [31]

Answer:

El orden de mayor a menor es:

54.45 ; 32.245 ; 23.4 ; 8/9 ; 15/20 ; 50/100 ; 4/10 ; 0.056 ; 9/1000

Step-by-step explanation:

El mayor número será el que tenga el mayor entero, o  si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha,  o si tienen el mismo se observa el siguiente decimal y así sucesivamente.

Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.

Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:

23.4

15/20= 0.75

32.245

0.056

4/10= 0.4

50/100= 0.5

8/9= 0.8888

0.009

9/1000= 0.009

54.45​

Entonces <u><em>el orden de mayor a menor es: </em></u>

<u><em> 54.45 ; 32.245 ; 23.4 ; 8/9 = 0.8888 ; 15/20 = 0.75 ; 50/100 = 0.5 ; 4/10 = 0.4 ; 0.056 ; 9/1000 = 0.009</em></u>

7 0
2 years ago
Two and one third minus two thirds
Savatey [412]
The answer to 2 1/3 - 2/3 is 1 2/3
4 0
1 year ago
What is the exact value of sin(-345°) in fraction form?
Damm [24]
You draw the reference angle of 45° but clockwise. The exact value of sin(-345°) is 1/√2.
5 0
3 years ago
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