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kherson [118]
3 years ago
8

Find the quotient: 8(cos275+ i sin275) / 16(cos180+ i sin180)

Mathematics
2 answers:
Afina-wow [57]3 years ago
6 0
I’m pretty sure your answer will be d
Art [367]3 years ago
5 0

the answer is D, you divide 8 by 16 you get 2 in below the division sign, cosine 180 is -1 , sine 180 is zero so the imaginary number cancels out leaving only -1 multiplied by 2 equals -2 then cosine and sine 95 equal negative the cosine and sine of 275 you take the negative sign common factor divide it by the negative sign of 2 and you get the answer is d

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Simon designed the game below, which is played by throwing one dart into the board
nataly862011 [7]

Answer:D

Step-by-step explanation:scoring 5 or greater

Because the least he can score is 5 till 20

So 5 or greater means it could be 10,15 or 20

Hope it help you

8 0
2 years ago
Label the horizontal and vertical sides of the triangle with expressions representing their length.
Alex Ar [27]

Answer:

What is the triangle cant give answer without pic of triangle

Step-by-step explanation:

Impossible to answer without anything shown

8 0
2 years ago
Given: AB ⊥ l, B ∈ l, M ∈ AB , AM = 7 in, AB = 15 in. Find the distance between point M and line l.
elixir [45]

AB ⊥ l, B ∈ l, M ∈ AB , AM = 7 in, AB = 15 in.

Here AB is a line segment which is perpendicular to line I.

Point B lies on line I,and Point B lies on line segment AB.

⇒AB=15 [Given]

⇒AM+MB=15

⇒AM=7[given]

⇒7+MB=15

⇒MB=15-7

⇒MB=8in

So,the length of line segment MB is 8 in.

The same thing is depicted in the diagram.


6 0
3 years ago
Which of the following expressions is equivalent to 2/ 5 ÷ 7 /8 ?
Sonja [21]
You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!
7 0
3 years ago
SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school are given below
kvasek [131]

Answer:

The value of test statistics is 25.

Step-by-step explanation:

We are given below the SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school;

380, 520, 480, 510, 560, 630, 670, 490, 500, 550, 400, 350, 440, 490, 620, 660, 700, 730, 740, 560

<em>Let </em>\sigma<em> = population standard of the reading and writing section SAT score of the students in this school</em>

So, Null Hypothesis, H_0 : \sigma \leq 100     {means that the reading and writing section SAT score of the students in this school is lesser than or equal to 100}

Alternate Hypothesis, H_A : \sigma<em> </em>> 100     {means that the reading and writing section SAT score of the students in this school is higher than 100}

The test statistics that would be used here is <u>One-sample Chi-square</u> test statistics;

                        T.S. =  \frac{(n-1)s^{2} }{\sigma^{2} }  ~ \chi^{2} __n_-_1

where, s^{2} = sample variance =  \frac{\sum (X-\bar X)^{2} }{n-1}  = 13135.8

            n = sample of 11th-grade students = 20

So, <u><em>the test statistics</em></u>  =  \frac{(20-1)\times 13135.8^{2} }{100^{2} }

                                     =  24.96 ≈ 25

Hence, the value of test statistics is 25.

5 0
3 years ago
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