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mash [69]
3 years ago
8

What is the arc length of an angle of 7π6 radians formed on the unit circle?

Mathematics
1 answer:
Digiron [165]3 years ago
4 0
The formula for arc length is S = ∅*r. 
Where S is the arc length, ∅ is the angle measure in radians, and r is the radius of the circle.
S = *1
S = 
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37.68 is the answer ........................
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2 years ago
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Martha has two pet poodles. Fifi, her standard poodle, weighs 7 times as much as Buttercup, her toy poodle.
maksim [4K]

Answer:

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Step-by-step explanation:

5 0
3 years ago
1. 10(.15)=1.5
Fed [463]

Answer:

6.14125(0.15) = 0.9211875 (below 1)

6.14125 - 0.92118 = 5.22007

Step-by-step explanation:

Given data

1. 10(.15)=1.5

2. 10-1.5=8.5

3. 8.5 (.15)=1.275

4. 8.5-1.275=7.225

continuation the sequence

5)    7.225 (0.15) = 1.08375

6)    7.225 -  1.08375 = 6.14125

7)  <u> 6.14125(0.15) = 0.9211875   (below -one)</u>

8 ) <u> 6.14125 - 0.9211875 = 5.2200625 (get number 5)</u>

9)   5.2200625(0.15) = 0.783009

10) 5.2200625 - 0.783009 = 4.4370532

3 0
2 years ago
On Mars the acceleration due to gravity is 12 ft/sec^2. (On Earth, gravity is much stronger at 32 ft/sec^2.) In the movie, John
insens350 [35]

Solution :

Given initial velocity, v= 48 ft/s

Acceleration due to gravity, g = $12\ ft/s^2$

a). Therefore the maximum height he can jump on Mars is

     $H_{max}=\frac{v^2}{2g}$

     $H_{max} = \frac{(48)^2}{2 \times 12}$

               = 96 ft

b). Time he can stay in the air before hitting the ground is

   $T=\frac{2v}{g}$

  $T=\frac{2 \times 48}{12}$

     = 8 seconds

c).  Considering upward motion as positive direction.

     v = u + at

We find the time taken to reach the maximum height by taking v = 0.

     v = u + at

     0 = 16 + (12) t

     $t=\frac{16}{12}$

        $=\frac{4}{3} \ s$

We know that, $S=ut + \frac{1}{2}at^2$

Taking t =  $=\frac{4}{3} \ s$  , we get

$S=16 \times\frac{4}{3} + \frac{1}{2}\times(-12) \times \left(\frac{4}{3}\right)^2$

$S=\frac{32}{3}$  feet

Thus he can't reach to 100 ft as it is shown in the movie.

d). For any jump whose final landing position will be same of the take off level, the final velocity will be the initial velocity.

Therefore final velocity is = -16 ft/s

3 0
3 years ago
Jack wants to find out which can of pineapples is the best buy. He has a choice of four different-sized cans. Which can has the
OLga [1]

Answer:

C

Step-by-step explanation:

Here is the complete question

ack wants to fined out which can pineapples is the best buy. He has a choice of four different -sized cans. Which can has the lowest unit price per ounce?

A. 8 ounce for $ 1.44

B. 6 ounce for $ 1. 14

C. 18 ounce for $ 2.88

D. 10 ounce for $ 1.62

unit price = price / total ounces

$1.44 / 8 = $0.18

$1.14 / 6 = $0.19

$2.88 / 18 = $0.16

$1.62 / 10 = 0.162

the lowest is 18 ounce for $ 2.88

5 0
3 years ago
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