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erastova [34]
3 years ago
11

Help please and show the steps

Mathematics
1 answer:
Phantasy [73]3 years ago
7 0

9514 1404 393

Answer:

  4096∠0°

Step-by-step explanation:

The polar form of the base value is 2∠120°. Then the 12-th power is ...

  (2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish

_____

I prefer the simpler notation r∠θ, rather than ...

  r(cos(θ) +i·sin(θ))   or   r·cis(θ)   or   r·e^(iθ)

You might not see this notation very often in areas outside of electrical engineering.

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A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 70 c
ella [17]

Answer:

dv = surface area * dh

so

dv/dt = surface area * dh/dt

width at surface = 40 + (80-40)(30/40)

= 40 + 30 = 70 cm = 0.70 m

so

surface area = 9 * .7 = 6.3 m^2

so

.3 m^3/min = 6.3 m^2 * dh/dt

and

dh/dt = .047 meters/min or 4.7 cm/min

Step-by-step explanation:

7 0
3 years ago
How many meters does 20 yards equal
Yuliya22 [10]

Answer:


Step-by-step explanation:One yard equals 0.9144 meter. Therefore 20 yards = 20 * 0.9144 = 18.288 meters


3 0
3 years ago
When a=3 and b=4, what is the value of 7(a+2b)?<br><br> Solved and worked out
geniusboy [140]

Answer:

77

Step-by-step explanation:

7 (3 + 2*4) =

7 (3 + 8) =

7 (11) =

7 * 11 =

77

8 0
3 years ago
Half of the tuna sandwich were on white bread. 25% of the ham sandwiches sold were on brown bread.
fgiga [73]

Answer:

The frequency table is shown below.

Step-by-step explanation:

(i) Half of the tuna sandwich were on white bread = 21

On brown bread, tuna = 42 - 21 = 21

(ii) 25% of the ham sandwiches sold were on brown bread.

= 25% (32) = 8

On white bread, 32 - 8 = 24

Frequency table:

                     Tuna             Cheese          Ham         Total

Brown             21                     11                    8                40

White              21                     15                  24               60

Total                42                     26                 32              100

6 0
3 years ago
F(x)=4(x-1)^2-1 axis of symmetry
Levart [38]
The vertex of this parabola has coordinates (1,-1).
The axis symmetry goes trough the vertex. The equation of the axis of symmetry is x=1.
6 0
4 years ago
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