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Vinil7 [7]
3 years ago
8

Please help with this question

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

cos(x=pi/4)= \frac{17}{26}*\sqrt{2}

Step-by-step explanation:

Remember that sin^{2}(x) +cos^{2}(x)=1

We need to find cos(x) from the above equation.

cos(x)= 12) / 13. This solution is positive since cos(x) in the range (2pi/3, 2pi) is positive.

Now, to obtain cos(x+pi/4) lets use the relation for cos(a+b)= cos(a)*cos(b)-sin(a)*sin(b)

where a=x, b =pi/4

Hence

cos(x+pi/4) =cos(x)*cos(pi/4) - sin(x)*sin(pi/4)

cos(x+pi/4) = \frac{\sqrt{2}}{2} * (cos(x)+5/13)

cos(x=pi/4)=\frac{\sqrt{2} }{2} *(\frac{12}{13}+\frac{5}{13})=\frac{17}{26} \sqrt{2}

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2 1/3 + 3/7 divided by 2 1/3 x 1 3/7​
oee [108]

Answer: \frac{29}{35}

Step-by-step explanation:

1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with

2\frac{7}{21}+\frac{9}{21} / 2\frac{7}{21} * 1\frac{9}{21}

2. Now, I would go and solve each side of the equation because we divide them, we can add 2\frac{7}{21} and \frac{9}{21}  together to get  2\frac{16}{21}, because 7 + 9 = 16

2\frac{16}{21} / 2\frac{7}{21} * 1\frac{9}{21}

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2\frac{7}{21} becomes \frac{49}{21} and 1\frac{9}{21} becomes \frac{30}{21}

\frac{49}{21} *  \frac{30}{21}

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us  \frac{7}{3} and the second one by 3, which gives us  \frac{10}{7}

\frac{7}{3} * \frac{10}{7} now we cross divide, where we replace the 7's with ones because they're right across from each other to get  \frac{1}{3} and  \frac{10}{1}, or just 10.

\frac{1}{3} * 10 =  \frac{10}{3}

4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

\frac{58}{21} / \frac{10}{3}

Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.

so   \frac{58}{21} * \frac{3}{10} which if we multiply both sides, you get \frac{174}{210}

I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get

\frac{29}{35}

4 0
2 years ago
Pls help help help help​
laiz [17]
K= 13t-2
= 13(2)-2
=26-2
K=24
6 0
2 years ago
Joe thinks the area to be pantries on wall 2is 84 square feet.
lilavasa [31]

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7 0
1 year ago
Which equations are true equations? Select all correct answers. Responses 15052=30−42−12 150 over 5 squared equals 30 minus 4 sq
Helen [10]

All the correct answers of the equations using order of operations are;

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

C. 48 ÷ 8 + 2³ = 5 + 3²

<h3>How to use order of operations?</h3>

The rule used for order of operations is PEMDAS and it states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.

Using the PEMDAS rule, the solutions would be as follows:

A. 9² − 7² = 20 ÷ (7 − 2)

81 - 49 = 20 ÷ 5

32 = 4

Thus, this is not true.

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

56 ÷ 2 − 12 = 22 - 6

28 - 12 = 16

16 = 16

Thus, this is true.

C. 48 ÷ 8 + 2³ = 5 + 3²

6 + 2³ = 5 + 9

6 + 8 = 14

14 = 14

Thus, this is true.

D. 150 ÷ 5² = 30 − 4² − 12

150 ÷ 25 = 30 − 16 − 12

6 = 30 - 28

6 = 2

Thus, this is not true.

Read more about Order of operations at; brainly.com/question/550188

#SPJ1

Complete question is;

Which equations are true equations? Select all correct answers.

A. 9² − 7² = 20 ÷ (7 − 2)

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

C. 48 ÷ 8 + 2³ = 5 + 3²

D. 150 ÷ 5² = 30 − 4² − 12

8 0
1 year ago
Take the points, I dont need them much, and you need it more than I do!
galben [10]

Answer:

1

Step-by-step explanation:

1/2+1/2=1

0.5+0.5=1

There!

7 0
3 years ago
Read 2 more answers
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