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3 years ago

Find x. Problem is in the picture

Mathematics

1 answer:

Ratling [72]3 years ago

4 0

Answer:

x = 80

Step-by-step explanation:

$22 \degree = \frac{1}{2} (x \degree - 36 \degree) \\ \therefore \: 22 \degree \times 2 = (x \degree - 36 \degree) \\ \therefore \: 44 \degree = x \degree - 36 \degree \\ \therefore \: 44 \degree + 36 \degree= x \degree \\ \therefore \: x \degree = 80 \degree \\ \: \: \: \: \: \huge \red{ \boxed{ \therefore \: x = 80 }}$

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A 20.3 kg person climbs up a uniform ladder with negligible mass. The upper end of the ladder rests on a frictionless wall. The

VMariaS [17]

Answer:

Q = arctan(7.1739) = 82.06

Step-by-step explanation:

Given:

- The mass of the person m = 20.3 kg

- The distance traveled up the ladder s = 1.1 m

- The gravitational constant g = 9.8 m/s^2

- The coefficient of static friction u_s = 0.23

- Total length of the ladder

Find:

The minimum angle θ, that would allow the person to climb without ladder slipping

Solution:

- Taking moments about point of ladder and wall contact A to be zero:

-F_n,b*cos(Q)*4 - F_f*sin(Q)*4+ m*g*cos(Q)*2.6 = 0

- Taking Sum of vertical forces to be zero:

F_n,b - m*g = 0

F_n,b = m*g

- The frictional force F_f is given by:

F_f = u_s*F_n,b = u_s*m*g

- Plug the values back in:

- m*g*cos(Q)*4 + u_s*m*g*sin(Q)*4 - m*g*cos(Q)*2.6 = 0

Simplify:

4*cos(Q) + 2.6*cos(Q) = u_s*4*sin(Q)

6.6*cos(Q) = 4*u_s*sin(Q)

tan(Q) = 6.6 / 4*u_s

- Plug in the values:

tan(Q) = 6.6 / 4*0.23

Q = arctan(7.1739) = 82.06

4 0

4 years ago

Lateral area of the cylinder and volume of cylinder

Alchen [17]

Cylinder Height = 18
Cylinder Lateral Area = (2 • π • r • height) =
2 * PI * 9 * 18 =
1,017.8760197631 
Cylinder Volume = π • r² • heightCylinder Volume = PI * 9^2 * 18 = 4,580.4420889339

6 0

4 years ago

Which sequences are geometric? Check all that apply.

zhenek [66]

Answer:

The sequences which are geometric are

16,-8,4,-2,1

625,125,25,5,1

-15,-18,-21.6,-25.92,-31.104

Step-by-step explanation:

Geometric sequences are ones in which you multiply or divide to get the next terms in the sequence.

Cheers

7 0

3 years ago

Abie makes $39,000 a year and spends about $250 each month on entertainment. what fraction of her annual income is spent on ente

tamaranim1 [39]

(250 * 12) / 39,000 = 3000/39,000 which reduces to 1/13 <==

** I multiplied 250 by 12 to get the cost per yr

7 0

3 years ago

Marlow Company purchased a point of sale system on January 1 for $10,000. This system has a useful life of 10 years and a salvag

Lina20 [59]

Answer:

Given:

POS system = 3,400

useful life = 10 years

salvage value = 400

double declining method means that the depreciation expense is higher in the early years than the later years of the asset.

Straight line depreciation = (3,400 - 400) / 10 yrs = 300

300 / 3000 = 0.10 or 10%

10% x 2 = 20% double declining rate

Depreciation expense under the double declining method:

Year 1: 3,400 x 20% = 680 depreciation expense.

Year 1 book value = 3,400 - 680 = 2,720

Year 2 : 2,720 x 20% = 544 depreciation expense

Year 2 book value = 2,720 - 544 = 2,176

5 0

4 years ago