All categories

3 years ago

Find the value of x for the pair of acute angles that corresponds to the solution of the equation: sin(3x + 2) = cos(7x + 8).

Mathematics

1 answer:

True [87]3 years ago

3 0

Answer:

x = 8

Step-by-step explanation:

3x + 2 + 7x + 8 = 90

10x + 10 = 90

10x = 80

x = 8

Check: 3x + 2 = 3(8) + 2 = 26°

7x + 8 = 7(8) + 8 = 56 + 8 = 64°

sin 26 = cos 64

You might be interested in

The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

What is the result when 124 is increased by 6.5%

jekas [21]

You multiply 124 (0.065) which gets you 8.06. You then add 8.06 to 124 and you get 132.06.

7 0

4 years ago

Read 2 more answers

Leslie says that 5 multiplied by an even number always results in an even product. Is Leslie's statement correct?

Rufina [12.5K]

Yes, Leslie is correct. Two such examples are 5*100, which is 500 (even) and 5*18, which is 90 (also even).

3 0

3 years ago

Read 2 more answers

Can someone pls help me I give 15 points

Zigmanuir [339]

Answer:

Step-by-step explanation:

efrgrf

4 0

3 years ago

Which gives 44+100 as a product of GCF and a sum?

Mariana [72]

(4 x 11) + (4 x 25) = 4 x 36 = 144

8 0

4 years ago