1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mariarad [96]
3 years ago
10

How long is the arc intersected by a central angle of StartFraction 5 pi Over 3 EndFraction radians in a circle with a radius of

2 ft? Round your answer to the nearest tenth. Use 3.14 for Pi.
Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer:

10.5 ft

Step-by-step explanation:

When central angle is given in radians, the formula for arc length = r × θ

θ = central angle = 5π/3 radians

π = 3.14

r = 2 ft

Hence,

Arc length = 2 ×( 5 × 3.14)/3

= 10.466666667 ft

Approximately to the nearest tenth = 10.5 ft

Therefore, the length of the arc is 10.5 ft

You might be interested in
The function h(t) = -16t^2 + 16t represents the height (in feet) of a horse (t) seconds after it jumps during a steeplechase.
Vladimir79 [104]
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.

h'(t) = -32t + 16

When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.

-32t + 16 = 0

-32t = -16

t = 0.5 seconds

b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.

h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet

If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.

c.) We know that the horse is in the air whenever h(t) is greater than 0. 

-16t^2 + 16t = 0

-16t(t-1)=0

t = 0 and 1

So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
7 0
3 years ago
Help me quickly! NO LINKS!!!!
AURORKA [14]

Answer:

180 - 110 = 70

<DBC = 70

4 0
3 years ago
Read 2 more answers
The height of a triangle is 4 in. greater than twice its base. The area of the triangle is no more than 168 in.2. Which inequali
Jet001 [13]
Recall that A = 1/2bh. We are given that h = 4+2b So, putting it all together: 168 = 1/2 b(4+2b) 168 = 1/2(4b + 2b^2) 168 = 2b + b^2 b^2 + 2b - 168 = 0. Something that multiplies to -168 and adds to 2? There's a trick to this. Notice 13^2 = 169. So, it's more than likely in the middle of the two numbers we're trying to find. So let's try 12 and 14. Yep. 12 x 14 = 168. So this factors into (b+14)(b-12) So b = -14 or b =12. Is it possible to have a negative length on a base? No. So 12 must be our answer. Let's check this. If 12 is our base, then according to our problem, 2*12 + 4 would be our height... or 28. so what is 12 * 28 /2? 196. Check. Hope this helped!
8 0
3 years ago
Read 2 more answers
Help me please please now asap
Oduvanchick [21]
120 different 3digit numbers
6 0
3 years ago
What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?
Ahat [919]
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
------------------------
</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.<span>

-------------------------
</span>\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right.     &#10;
<span>
-------------------------
</span>\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.<span>

-----------
</span>\boxed{x = 1}<span><span>

</span></span><span>Substitute in equation (I) to find the value of "Y".

</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
\boxed{y = 6}

Answer:
\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

6 0
3 years ago
Other questions:
  • What is 30 percent of 25
    13·1 answer
  • NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • HELP Whats the value of X ??
    14·1 answer
  • 4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
    6·1 answer
  • Equation Given: <img src="https://tex.z-dn.net/?f=h%28t%29%3D-4.9t%5E%7B2%7D%2B358" id="TexFormula1" title="h(t)=-4.9t^{2}+358"
    9·1 answer
  • Factorise<br> x2 — 73 — 44
    13·1 answer
  • What is the value of a?<br> 45°<br> (2x-5)
    12·1 answer
  • Please help please help
    7·1 answer
  • What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4
    13·1 answer
  • How much would you have to
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!