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tresset_1 [31]
3 years ago
8

Find the length of an arc of a 8inch radius circle if the arc measures 45 degrees

Mathematics
1 answer:
lidiya [134]3 years ago
4 0
45° is exactly 1/8 of a full circle (45/360 = 1/8) <span>
So the length of the arc would be 1/8 of a full circumference: 
C = 2π r 
C = 2π(8) 
C = 16π 

Take 1/8 of this: 
1/8C = (1/8)16π = 2π 

Answer: 
Exact answer --> 2π inches 
(Approx. answer --> 6.28 inches)</span>
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TiliK225 [7]
10 tickets for $1.00 is the better buy because because that would make each ticket 10cents which is cheaper
8 0
4 years ago
Timo was curious if quadrilaterals LMNR and PQNO were similar, so he tried to map one figure onto the
Assoli18 [71]

Answer:A

Step-by-step explanation:

first you use the lmnp and pqno to get our full answer

4 0
3 years ago
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Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(4, 5) sin = (4√41)/41 (5√41)/41 4/5 5/4 what is
Viefleur [7K]
Ok <span>One side would have a length of 4, another side would have a length of 5, and then we can use the Pythagorean Theorem to find the length of the hypotenuse. a^2 + b^2 = c^2 </span>

<span>a=4; b=5; </span>

<span>4^2 + 5^2 = c^2 </span>
<span>16 + 25 = c^2 </span>
<span>41 = c^2 </span>
<span>c = √41 </span>

<span>Therefore, the hypotenuse has a length of √41. </span>

<span>To find the sinθ, you take the opposite over the hypotenuse. </span>

<span>Remember when you drew out the triangle? θ is the angle connected to the origin. The opposite side is b, which is 5. </span>

<span>Your answer is 5/√41. </span>

<span>This answer must be simplified since there is a radical in the denominator. To simplify, you can just multiply the numerator and the denominator by √41/√41 (since this is equivalent to 1). </span>

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6 0
3 years ago
The perimeter of a square is 20. Find the length of the diagonal
klemol [59]

Answer:

d≈7.07

Step-by-step explanation:

Using the formulas

P=4a

d= \sqrt{2} a

Solving ford  

d= \sqrt{2} P/4=2·20 /4≈7.07107

8 0
3 years ago
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a jet flying at an altitude of 30000 ft passes over a small plane flying at 15000 feet headed in the same direction the jets fly
Sholpan [36]

The jet has gained on the small plane at the rate of 10 miles per minute, so is flying 600 miles per hour faster. (There are 60 minutes in an hour.)

Since the jet is flying twice as fast as the smaller plane, the small plane's speed is the same as the difference in speed: 600 mph.

The jet's speed is double that, 1200 mph.

  • small plane: 600 mph
  • jet: 1200 mph
8 0
3 years ago
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