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3 years ago

PLZ HURRY IT'S URGENT!!!!

Mathematics

3 answers:

agasfer [191]3 years ago

7 0

Answer:

B. .12 is the decimal

Step-by-step explanation:

What you do is you divide 25 by 3. That will already give you a decimal and when you divide it out your answer is .12.

3/25=.12.

PilotLPTM [1.2K]3 years ago

5 0

Answer:

The correct answer is 0.12

Step-by-step explanation:

3 = numerator

25 = denominator

Divide the numerator by the denominator to convert a fraction to a decimal.

3 ÷ 25 = 0.12

as a decimal is

0.12

USPshnik [31]3 years ago

4 0

Answer: The answer is B. 0.12

Step-by-step explanation:

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Which side lengths form a triangle? A. 4,7,9 B. 5,12,13 C. 20,22,24

FinnZ [79.3K]

It’s c I just took that quiz

8 0

3 years ago

Find the imaginary part of\[(\cos12^\circ+i\sin12^\circ+\cos48^\circ+i\sin48^\circ)^6.\]

iren [92.7K]

Answer:

The imaginary part is 0

Step-by-step explanation:

The number given is:

$x=(\cos(12)+i\sin(12)+ \cos(48)+ i\sin(48))^6$

First, we can expand this power using the binomial theorem:

$(a+b)^k=\sum_{j=0}^{k}\binom{k}{j}a^{k-j}b^{j}$

After that, we can apply De Moivre's theorem to expand each summand: $(\cos(a)+i\sin(a))^k=\cos(ka)+i\sin(ka)$

The final step is to find the common factor of i in the last expansion. Now:

$x^6=((\cos(12)+i\sin(12))+(\cos(48)+ i\sin(48)))^6$

$=\binom{6}{0}(\cos(12)+i\sin(12))^6(\cos(48)+ i\sin(48))^0+\binom{6}{1}(\cos(12)+i\sin(12))^5(\cos(48)+ i\sin(48))^1+\binom{6}{2}(\cos(12)+i\sin(12))^4(\cos(48)+ i\sin(48))^2+\binom{6}{3}(\cos(12)+i\sin(12))^3(\cos(48)+ i\sin(48))^3+\binom{6}{4}(\cos(12)+i\sin(12))^2(\cos(48)+ i\sin(48))^4+\binom{6}{5}(\cos(12)+i\sin(12))^1(\cos(48)+ i\sin(48))^5+\binom{6}{6}(\cos(12)+i\sin(12))^0(\cos(48)+ i\sin(48))^6$

$=(\cos(72)+i\sin(72))+6(\cos(60)+i\sin(60))(\cos(48)+ i\sin(48))+15(\cos(48)+i\sin(48))(\cos(96)+ i\sin(96))+20(\cos(36)+i\sin(36))(\cos(144)+ i\sin(144))+15(\cos(24)+i\sin(24))(\cos(192)+ i\sin(192))+6(\cos(12)+i\sin(12))(\cos(240)+ i\sin(240))+(\cos(288)+ i\sin(288))$

The last part is to multiply these factors and extract the imaginary part. This computation gives:

$Re x^6=\cos 72+6cos 60\cos 48-6\sin 60\sin 48+15\cos 96\cos 48-15\sin 96\sin 48+20\cos 36\cos 144-20\sin 36\sin 144+15\cos 24\cos 192-15\sin 24\sin 192+6\cos 12\cos 240-6\sin 12\sin 240+\cos 288$

$Im x^6=\sin 72+6cos 60\sin 48+6\sin 60\cos 48+15\cos 96\sin 48+15\sin 96\cos 48+20\cos 36\sin 144+20\sin 36\cos 144+15\cos 24\sin 192+15\sin 24\cos 192+6\cos 12\sin 240+6\sin 12\cos 240+\sin 288$

(It is not necessary to do a lengthy computation: the summands of the imaginary part are the products sin(a)cos(b) and cos(a)sin(b) as they involve exactly one i factor)

A calculator simplifies the imaginary part Im(x⁶) to 0

4 0

3 years ago

What is {2}{5} divided by {1}{3}

mariarad [96]

2*5=10/3
10/3=3.33
two times 5 equals 10
1 times 3 equals 3
10 divided by 3 equals 3.33

6 0

3 years ago

If you can solve all of these i will give you all of my points. geometry is the only thing i need help with and i am really stru

madreJ [45]

Answer:

help you with what you have not put down the question so when you are ready to put down the question I am here waiting

4 0

3 years ago

smoothie sales are on fire. the price is $3 for an adult and $1 for children. if 260 smoothies were sold for a total of 675.00 h

sweet [91]

Answer:

207.5 adult
52.5 children

Step-by-step explanation:

If "a" represents the number of adult smoothies sold, then 260-a is the number of smoothies sold to children. The total revenue is ...

3a +1(260-a) = 675

2a +260 = 675 . . . . . . eliminate parentheses

a + 130 = 337.5 . . . . . . divide by 2

a = 207.5 . . . . . . . . smoothies sold to adults

260-a = 52.5 . . . . . smoothies sold to children

_____

For the given numbers, this is the way it works out. The "half" values suggest there is a typo somewhere, possibly in the curriculum material. Talk to your teacher about this one.

5 0

3 years ago