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Ksenya-84 [330]
2 years ago
14

Please help i beg i never get these right

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
3 0

Answer:

\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}

Step-by-step explanation:

Given

\sin(105^o)

Required

Solve

Using sine rule, we have:

\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)

This gives:

\sin(105^o) = \sin(60 + 45)

So, we have:

\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)

In radical forms, we have:

\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}

\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}

Take LCM

\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}

Rewrite as:

\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}

Hence:

\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}

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Find the range, mean, and standard deviation of the data set (3, 6, 9, 11, 15, 16) The range is 13 (Type a whole number.) The me
iris [78.8K]

Answer: The range is 13.  The mean is 10. The standard deviation is 4.62 .

Step-by-step explanation:

The given data : 3, 6, 9, 11, 15, 16

Total number of data values : n = 6

The mean of data is given by :-

\overline{x}=\dfrac{\sum^6_{i=1}x_i}{n}\\\\\Rightarrow\overline{x}=\dfrac{60}{6}=10

The standard deviation is given by :-

\sqrt{\dfrac{1}{n}(\sum^6_{i=1}(x_i-\overline{x})^2)}\\\\=\sqrt{\dfrac{1}{6}(\sum^6_{i=1}(x_i-10)^2)}\\\\=\sqrt{\dfrac{1}{6}\times(49+16+1+1+25+36)}=4.61880215352\approx4.62

The range of the data : Maximum value -Minimum value

=16-3=13

6 0
3 years ago
write the ratio as a percent 6 per 100 , 49 out of 100 , 16 per 100 , 21 out of 100 , 80 per 100 , 93 out of 100​
DedPeter [7]

Answer:

6%, 49%, 16%, 21%, 80%, 93%

Step-by-step explanation:

add the percent sign to each each number (6, 49, 16, 21, 80, and 93).

6 0
3 years ago
Read 2 more answers
Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore
Xelga [282]

Answer: 36+4h=60

36+4h-36=60-36

4h=24

4h÷4=24÷4

h=6

So, after the move they can spend 6 hours there. (6×4=24, 24+36=60, they will spend $60 if they spend 6 hours there, $56 if they spend 5 hours there and don't want to spend $60).

Step-by-step explanation:

3 0
3 years ago
Does anyone know this? Needed ASAP
anzhelika [568]

Answer:

50 square units

Step-by-step explanation:

Using the formula provided, a = \frac{1}{2}h(b_1+b_2), substituting the height (5), b1 (8) and b2 (12), we can solve for the formula.

a = \frac{1}{2}\cdot5(8+12)\\\\a = \frac{1}{2}\cdot5(20)\\\\a = \frac{1}{2}100\\\\a = 50

Hope this helped!

4 0
3 years ago
Read 2 more answers
PLEASE HELPPPP MEEEE NOWWWW!
Ket [755]

Answer:

2, 6, and 7

Step-by-step explanation:

3n is by itself because theres no other numbers that have the letter n.

6m and -11m are like terms bcs they both have the letter m (variable)

-3 and -18 are both like terms bcs they are both just numbers (or constants whatever)

so you would choose options 2, 6, and 7! hope this helps! :)

6 0
3 years ago
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