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2 years ago

I need help with my math

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

3 0

Answer:

A=28

B=18

C=18

D=28

E=28

F=18

G=10

H=5

Step-by-step explanation:

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Two complex numbers are given byz1= 3 +j4 andz2= 2 +j3. Determine in both polar andCartesian forms

Marat540 [252]

Answer:

Cartesian

z₁= 3 +4*j

z₂= 2 +3*j

Polar

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

Step-by-step explanation:

for the complex numbers z the cartesian form of is

z= x + y*j

then

1) z₁= 3 +4*j (cartesian form)

2) z₂= 2 +3*j (cartesian form)

the polar form is

z= r* e^jθ

where

r= √(x²+y²) → r₁ = √(3²+4²) = 5 , r₂ = √(2²+3²) = √13

and

θ = tan⁻¹ (y/x) → θ₁ = tan⁻¹ (4/3)= 0.927 rad , θ₂ = tan⁻¹ (3/2)= 0.982 rad

then

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

3 0

3 years ago

Fiona wrote the linear equation y = y equals StartFraction 2 over 5 EndFraction x minus 5.x – 5. When Henry wrote his equation,

xeze [42]

Answer:

D. $x-\frac{5}{2}y = \frac{25}{2}$

Step-by-step explanation:

Given

$y = \frac{2}{5}x - 5$

Required

Determine its equivalent

From the list of given options, the correct answer is

$x - \frac{5}{2}y = \frac{25}{2}$

This is shown as follows;

$y = \frac{2}{5}x - 5$

Multiply both sides by $\frac{5}{2}$

$\frac{5}{2} * y = \frac{5}{2} * (\frac{2}{5}x - 5)$

Open Bracket

$\frac{5}{2} * y = \frac{5}{2} * \frac{2}{5}x - \frac{5}{2} *5$

$\frac{5}{2}y = x - \frac{25}{2}$

Subtract x from both sides

$\frac{5}{2}y - x = x -x - \frac{25}{2}$

$\frac{5}{2}y - x = - \frac{25}{2}$

Multiply both sides by -1

$-1 * \frac{5}{2}y - x * -1 = - \frac{25}{2} * -1$

$-\frac{5}{2}y + x = \frac{25}{2}$

Reorder

$x-\frac{5}{2}y = \frac{25}{2}$

Hence, the correct option is D

$x-\frac{5}{2}y = \frac{25}{2}$

9 0

3 years ago

Read 2 more answers

A discount voucher offering 15% off is used to pay a bill.After using the voucher, the bill is reduced to ?36.72.How much was th

Aleonysh [2.5K]

Answer:

$43.20

Step-by-step explanation:

To find the original purchase price, write a proportion and solve. A proportion is an equation where two ratios are set equal.

If the discount if 15% then you pay 85%.

$\frac{36.72}{y}= \frac{85}{100}$

To solve for y, cross multiply the numerator and denominator of each fraction.

36.72(100) = 85y

3672= 85y

43.2 = y

5 0

4 years ago

Jacob’s daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best repre

skad [1K]

Option d: Yes, Jacob is correct. The median amount he makes is $84.00 in a day.

Explanation:

It is given that Jacob's daily tips for week are $99, $78, $58, $91, $90, and $68.

We need to determine the median of how much money he makes in daily tips.

Thus, to determine the median, first let us arrange the tips in ascending order.

Ascending order: $58, $68, $78, $90, $91 and $99

Since, the group is an even number of terms, let us add the two middle terms and divide by 2.

Median = $\frac{78+90}{2} =84$

Thus, the median is 84.

Hence, The median amount Jacob makes is $84.00 in a day.

Thus, Option d is the correct answer.

8 0

3 years ago

Read 2 more answers

Multiply 6x 10 by 12,2

kicyunya [14]

Answer:

Huh??

Step-by-step explanation:

6x10=60/12=5×2=10??????

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3 years ago