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adoni [48]
3 years ago
5

Number 5 and I don't know how to do it at all

Mathematics
1 answer:
Andreyy893 years ago
4 0
Your givens are A+S=326 and 8A+5S=1972.

A+S=326
  -S      -S
A=326-S

if you substitute this into the other equation that you are given it looks like this
8(326-S)+5S=1972.
After this we use PEMDAS to solve for S
2608-8S+5S=1972
2608-3S=1972
-3S=(-636)
-S=(-212)
S=212
If we know S=212 we can go back and solve the origonal equation for A.
A+212=326
A=114
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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
Find the missing measure for a right circular cone given the following information.
xxTIMURxx [149]
<h2>Answer:</h2>

The radius of the cone is:

          r=\dfrac{2}{\sqrt{\pi}}

<h2>Step-by-step explanation:</h2>

The total area of cone is given by:

T.A.=\pi r(l+r)=\pi rl+\pi r^2=12---------(1)

where r is the radius of the cone and l is the slant height of the cone.

and the lateral area of cone is given by:

L.A.=\pi rl=8---------(2)

Hence, from equation (1) and (2) we have:

 8+\pi r^2=12\\\\\\i.e.\\\\\\\pi r^2=4

i.e.

r^2=\dfrac{4}{\pi}

i.e.

r=\dfrac{2}{\sqrt{\pi}}

6 0
3 years ago
143 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 0 and 2
serious [3.7K]

Answer:

-71

Step-by-step explanation:

let 'n' = a number

2(143 + 2n) = 0n + 2

2(143 + 2n) = 2

143 + 2n = 1

2n = -142

n = -71

5 0
2 years ago
Rosie is a real estate agent and is paid the following for commission on sales: 4% for the first $50,000, 2% for the next $100,0
Elena-2011 [213]

Answer:

22,000

Step-by-step explanation:

4%/100=0.04        

0.04*50,000=20,000         || 130,000-50,000=80,000 ||

2%/100=0.02

0.02*100,000= 2,000        || 80,000 - 100,000 ||

To explain it simply, Rosie receives 20,000 in commission for the first 50,000 of the sale. However, she sold a property for 130,000 meaning she also receives 2,000 for the next 100,000. Therefore she receives $22,000 in total on her $130,000 sale.

6 0
3 years ago
The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units.
Naddika [18.5K]
Area= l*b
0.8=3.2*x
0.8/3.2=x
x=0.25 units
3 0
3 years ago
Read 2 more answers
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