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lesya [120]
3 years ago
13

For the problem below, θ is a central angle in a circle of a radius r. Find the length of arc s cut off by θ.

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

Answer:

Here, we will use the formula from trigonometry which defines a radian

we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed

hence, if the radius is r and the arc is r, the angle (in radians) will be 1

if the radius is r and the arc is 2r, the angle in radians will be equal to:

length of arc / radius = 2r/r = 2 radians

I believe this will explain what is actually happening in these type of questions

So, the equation:

Θ(in radians) = s / r (where the length of arc is s and the radius is r)

π/4 = s / 12

s = 3π or 9.42 inches

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OLEGan [10]

Answer:

A) (-infinity, -7]U[-2, -1]

B) [-7, -5]

C) [-5, -2]U[-1, infinity)

6 0
3 years ago
Solve 5 + 44 = 2 + r
pickupchik [31]
Okay the answer is r=47
Let's solve your equation step-by-step.<span>5+44=2+r
</span>Step 1: Simplify both sides of the equation.<span>5+44=2+r
</span>Simplify:<span>49=r+2
</span>Step 2: Flip the equation.<span>r+2=49
</span>Step 3: Subtract 2 from both sides.<span><span>r+2−2</span>=49−2</span>r=47
Answer:<span>r=<span>47
Hope this helps!:)</span></span>
6 0
3 years ago
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Please answer correctly !!!! Will mark brainliest !!
jek_recluse [69]

Answer:

h(u)=-7/6u

Step-by-step explanation:

To write a formula for v in terms of u, you need to first isolate v.

4u+8v=-3u+2v

Add 3u to both sides:

7u+8v=2v

Subtract 8v from both sides:

7u=-6v

Divide both sides by -6:

v=-7/6u

Hope this helps!

5 0
3 years ago
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The question is in the picture I know it's solved but I'm not sure how to solve it
lyudmila [28]

The component of the cars velocity eastward is 14 m/s

A vector is an quantity that has both magnitude and direction.

Vector resolution is the method of separating a vector into its horizontal component as well as its vertical component.

The horizontal component of a vector is the influence of the velocity on the object horizontally.

Given that the velocity (V) = 24 m/s, the angle (θ) = 90° - 35° = 55°

Therefore:

Car velocity eastward (Vₓ) = Vcos(θ) = 24 * cos(55) = 14 m/s

The component of the cars velocity eastward is 14 m/s

Find more at: brainly.com/question/12526159

3 0
3 years ago
Erin writes the set of ordered pairs below. The set represents a function.
tino4ka555 [31]
Point A shows that she is incorrect.
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If we plotted point A, it'd fail the straight line test because the given point (-6, 7) already has -6 as an x value.
Hope this helps!
7 0
3 years ago
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