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never [62]
3 years ago
14

A circle has central angle with an angle measure of 2 rad and a radius with a length of 5.7. Determine the length of the arc sub

tended by this angle. Record answer to the nearest tenth.
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer:

Step-by-step explanation:

A circle has central angle with an angle measure of 2 rad. We would convert from rad to degrees.

1 rad = 57.296 degrees

2 rads = 2×57.296 = 114.592 degrees.

The radius of the circle is 5.7

To determine the length of the arc subtended by this angle, we would apply the formula,

Length of arc = #/360 × 2πr

r = radius of circle = 5.7

π = constant = 3.14

Length of arc = 114.952 /360 × 2× 3.14 ×5.7 = 11.39

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Choose the expression that represents a cubic expression.
Anna007 [38]

Answer:

10x³ - 6x² - 9x + 12 is a cubic expression ⇒ 2nd

6x + 6 is a linear expression ⇒ 1st

5x² + 9x - 1 is a quadratic expression ⇒ 2nd

Quadratic expression ⇒ 1st

Step-by-step explanation:

* Lets explain the degree of any expression

- The degree of any expression is the greatest power of the variable

- Ex:

# 3x - 3 is a first degree expression

# x² - 3x + 2  is a second degree expression

# 5x³ - 2x² + 5x - 2 is a third degree expression

- The first degree expression is called linear expression

- The second degree expression is called quadratic expression

- The third degree expression is called cubic expression

* Lets solve the problem

∵ The cubic expression is the expression with greatest power of 3

∴ 10x³ - 6x² - 9x + 12 is the cubic expression

∵ The linear expression is the expression with greatest power of 1

∴ 6x + 6 is a linear expression

∵ The quadratic expression is the expression with greatest power of 2

∴ 5x² + 9x - 1 is a quadratic expression

∵ The expression is -2x² + 11

∵ The greatest power of x is 2

∴ -2x² + 11 is a quadratic expression

3 0
3 years ago
Read 2 more answers
Please help ill give brainleist
mestny [16]

Answer:

An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:

  • y=-6x+7

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

6x+y=6

Writing in the slope-intercept form of the line equation

y = -6x + 6

comparing with the slope-intercept form of the line equation

y = mx+b

Thus, the slope of line = m = -6

We know that the parallel lines have the same slopes.

Thus, the slope of the parallel line is also -6.

As the line passes through the point (2,−5).

Thus, using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope and (x₁, x₂) is the point

substituting the values m = -6 and the point (2,−5)

y-y_1=m\left(x-x_1\right)

y - (-5) = -6 (x - 2)

y+5=-6\left(x-2\right)

subtract 5 from both sides

y+5-5=-6\left(x-2\right)-5

y=-6x+7

Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:

  • y=-6x+7
8 0
3 years ago
Al final de la carrera de una famosa maratón, tres amigos, Hermes, Benito y
Fantom [35]

Answer:

Benito llega en segundo lugar.

Eladio llega en sexto lugar

Hermes llega en noveno lugar.

Step-by-step explanation:

Tenemos 3 amigos:

Benito

Hermes

Eladio

Hay 3 posiciones:

segundo

sexto

noveno.

Sabemos que:

Benito llegó antes que Hermes.

Cuando Eladio estaba llegando a la meta, solo Benito estaba descansando.

Es decir, cuando Eladio llego a la meta, Hermes aún no había llegado.

Eladio llegó a la meta antes que Hermes, pero después que Benito.

Entonces el primero en llegar es Benito, el segundo es Eladio y el tercero será Hermes.

Con la data inicial podemos decir que:

Benito llega en segundo lugar.

Eladio llega en sexto lugar

Hermes llega en noveno lugar.

3 0
3 years ago
The daily rainfall experienced by Soaking City has been recorded on 9 randomly selected days throughout the year. This process h
belka [17]

Answer:

0.195

Step-by-step explanation:

Given:

For ; sample size, n = 9 ;

Standard Error (S. E) = 0.39

S. E = σ / sqrt(n)

σ = standard deviation

0.39 = σ / sqrt(9)

σ = 0.39 * 3

σ = 1.17

Therefore, For n = 36

S. E = 1.17 / sqrt(36)

S.E = 1.17 / 6

S.E = 0.195

3 0
3 years ago
How many inches are in a yard
Phoenix [80]

Answer: 12

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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