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lorasvet [3.4K]
3 years ago
5

What is the approximate length of arc 9.9,19.9,21.5,43

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0
I think the answer is 19.9 cm
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Initially a wheel rotating about a fixed axis at a constant angular deceleration of 0.5 rad/s 2 has an angular velocity of 0 rad
Zigmanuir [339]

Answer:

\theta = 5.83\ rad

Step-by-step explanation:

given,

angular deceleration, α = -0.5 rad/s²

final angular velocity,ω_f = 0 rad/s

angular position, θ = 6.1 rad

angular position at 3.9 s = ?

now, Calculating the initial angular speed

\omega_f^2 = \omega_i^2 + 2 \alpha \theta

0 = \omega_i^2 - 2\times 0.5\times 6.1

\omega_i = \sqrt{6.1}

\omega_i = 2.47\ rad/s

now, angular position calculation at t=3.9 s

\theta = \omega_i t + \dfrac{1}{2}\alpha t^2

\theta =2.47\times 3.9 - \dfrac{1}{2}\times 0.5\times 3.9^2

\theta = 5.83\ rad

Hence, the angular position of the wheel after 3.9 s is equal to 5.83 rad.

7 0
3 years ago
Malachy, Sushil and Fiona share some sweets in the ratio 7:1:1. Malachy gets 90 more sweets than Fiona. How many sweets does Sus
VashaNatasha [74]

Answer:

15

Step-by-step explanation:

Fiona (F) = Sushi (S)

Malachy (M) = 7 Fiona (F)

M = F + 90

F + 90 = 7F

6F = 90

F (Fiona) = 15

S (Sushi) = 15

check: Malachy (M) = 15 * 7 = 105

M-F = 105 - 15 = 90

3 0
3 years ago
Uncle drew scored 28 points in 5 5/6 minutes during a game of basketball.
Lina20 [59]

The answer is \frac{24}{5} = 4\frac{4}{5} points per minute

8 0
3 years ago
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Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends a
iragen [17]
Number of friends - x

50-3x=2
-3x=-48
3x=48
x=16

Jack has 16 friends.
3 0
4 years ago
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What are the roots of the quadratic equation below 2x^2-5x-1=0
PilotLPTM [1.2K]

Answer:

roots=(5±sqrt(33))/4

Step-by-step explanation:

roots=(-b±sqrt(b^2-4ac))/2a

roots=(-(-5)±sqrt(25+8))/(2*2)

roots=(5±sqrt(33))/4

roots=(5+sqrt(33))/4 and (5-sqrt(33))/4

7 0
3 years ago
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