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BARSIC [14]
3 years ago
13

Multiply the following complex numbers:(7-3i)(8 + 4i)​

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Noting that i² = - 1

Given

(7 - 3i)(8 + 4i) ← expand factors using FOIL

= 56 + 28i - 24i - 12i²

= 56 + 4i - 12(- 1)

= 56 + 4i + 12

= 68 + 4i → A

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Find the value of sinY
Tatiana [17]

Answer:

\frac{63}{65}

Step-by-step explanation:

Please see the attached picture.

Let's find the value of the opposite side, XZ.

Applying Pythagoras' Theorem,

(XZ)² +(XY)²= (ZY)²

(XZ)² +16²= 65²

(XZ)²= 4225 -256 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>

(XZ)²= 3969 <em>(</em><em>simplify</em><em>)</em>

<em>Square</em><em> </em><em>root</em><em> </em><em>both</em><em> </em><em>sides</em><em>,</em>

XZ= \sqrt{3969}

XZ= 63 <em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(simplify)</em>

sinY

= XZ/ ZY

= \frac{63}{65}

8 0
3 years ago
An exterior angle of an isosceles triangle has measure 150 degrees. Find two possible sets of measures for the angles of the tri
AVprozaik [17]
Is it exterior as in on a line?? because 150 in a 360 angle is too small because 3601 -150 = 210 and that's too big for a triangle as it exceeds the rule of all angles in triangles add up to 180
8 0
3 years ago
Correct answers only please!
seropon [69]

Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

8 0
2 years ago
Rewrite 3/2 : 1/4 as a unite rate
finlep [7]

Answer:

6 : 1

Step-by-step explanation:

A unit rate has to be "a number to 1" or "x:1". Here we have a number to 1/4. Multiply both numbers by 4 so the 1/4 becomes 1.

3/2 * 4 = 12/2 = 6

1/4 * 4 = 1

3/2 : 1/4 is the same as 6 : 1

6 0
3 years ago
Read 2 more answers
plz help will pick brainlest Douglas is placing strings of lights around the edge of a circular patio with a diameter of 7.5 met
andrew11 [14]
I think the answer is 5, if you divide 7.5 by 1.45 you get 5.2 or 5.17 so approximately 5.
7 0
3 years ago
Read 2 more answers
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