Solve for x. Round to the nearest tenth, if necessary.

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians

Gennadij [26K]

Question:

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Answer:

<h3>Arc length is 11.30 feet</h3>

Solution:

Given that,

Radius of circle = 12.6 feet

Central angle = $\frac{2 \pi }{7}$ radians

To find: Arc length

The arc length of a circle of radius "r" when central angle given in radians is:

$s = r \times \theta$

Where,

s is the arc length

r is the radius

$\theta$ is the central angle in radians

Substituting the values we get,

$s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30$

Thus, arc length is 11.30 feet

7 0

3 years ago

Identify the leading coefficient in the following polynomial: 10x2 + 3x – 5

Alisiya [41]

Answer:

The leading coefficient in the polynomial 10x2 + 3x - 5 is 10.

Step-by-step explanation:

To find the leading coefficient of the polynomial function, we must first locate the leading term. In a polynomial function, the leading term is the term containing the highest power of x. In this polynomial function, the leading term is 10x2. The leading coefficient of a polynomial function is the coefficient of the leading term, and so the leading coefficient of this polynomial function is 10.

5 0

2 years ago

vWhat is the probability of drawing either a king, a queen, or a jack from a deck of 52 playing cards

Bas_tet [7]

Answer:

20 por ciento de probabilidad de que elijas una de esas cartas

Step-by-step explanation:

20 por ciento de probabilidad de que elijas una de esas cartas

6 0

3 years ago

Read 2 more answers

The smallest integer that can be added to -2m3 − m + m2 + 1 to make it completely divisible by m + 1 is .

dangina [55]

Recall the polynomial remainder theorem: if $m-c$ is a factor of some polynomial $p(m)$ , then the remainder upon dividing $p(m)$ by $m-c$ is $p(c)$ .