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algol13
3 years ago
9

The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second num

ber?
Mathematics
1 answer:
krek1111 [17]3 years ago
7 0

Answer:

10:40

Step-by-step explanation:

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Find z1z2 if z1 = 2/5(cos63° + isin63°) and z2 = 10/3(cos117° + isin117°).
Airida [17]

Answer:

-10/3 is the answer

Step-by-step explanation:

Given are two complex numbers as

z1=\frac{2}{5} (cos63  + isin63)\\z2=\frac{10}{3} (cos 117 + isin117})

Recall Demoivre theorem as

(cosA+isinA)(cos A+isin B) = cos(A+B)+isin(A+B)

Hence here we have sum of angles  as

A+B = 63+117 =180

z1z2=\frac{2}{5} \frac{10}{3} (cos180+isin180)

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Since sin180=0 and cos 180=-1

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3 years ago
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Viktor [21]

Answer:

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3 years ago
Which procedure correctly simplifies the expression? ( 4 x − 3 ) − 2 ( x + 5 ) A. Step 1: 4 x − 2 x − 3 + 5 Step 2: 2 x + 2 B. S
olya-2409 [2.1K]

Answer:

<em>Step 1: 4 x − 3 − 2 x − 10 </em>

<em>Step 2: 2 x − 13</em>

Step-by-step explanation:

Given the expression;

(4 x − 3) − 2 (x + 5)

The following steps/ procedure are to be taken when simplifying the expression.

open the parenthesis

(4 x − 3) − 2 (x + 5)

= 4x-3 -2(x)-2(5)

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collect the like terms

= 4x-2x-3-10

simplify the resulting expression

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Hence the procedure that correctly simplifies the expression are:

Step 1: 4 x − 3 − 2 x − 10

Step 2: 2 x − 13

6 0
3 years ago
Which expression is equivalent to (7 + 2i)(-3 - 4i)?
malfutka [58]
B -13 -34i

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Then keep simplifying
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2 years ago
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snow_lady [41]
I believe the answer is b because u need to combine like terms and 6c+2c+5c is 13c.
6 0
2 years ago
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