<u>7.1 cm long is the arc</u><u> intersected by a central angle .</u>
What is length of an arc?
- The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
- Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
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Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is
, the slope is of
, and the function is:

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is
, the slope is of
, and the function is:

The plans cost the same for x minutes of calling, considering that:





The two plans cost the same for 5000 minutes of calling.
To learn more about linear functions, you can take a look at brainly.com/question/24808124
-7+3/6+6=-4/12= -1/4
y+3= -1/4(x+6)
y+3= -1/4x-3/2
y=-1/4x-9/2
Answer: 
Step-by-step explanation:
Observe in the figure given in the exercise that four right triangles are formed.
In this case you can use the following Trigonometric Identity to solve this exercise:
From the figure you can identify that:

Then, you can substitute values:

The next step is to solve for DE in order to find its value. This is:

Finally, rounding the result to the nearest tenth, you get that this is:

The answer is C) Saul’s account earned $3,338 more interest than Mark’s account