All categories

2 years ago

If the angles are represented in degrees, find both angles: \cos(3x+13)=\sin(2x+42) cos(3x+13)=sin(2x+42)

Mathematics

1 answer:

Sphinxa [80]2 years ago

4 0

Answer:

cos34°

sin56°

Step-by-step explanation:

Sin(2x+42)= sin90-(3x+13)

Sin(2x+42) = sin(90-13-3x)

Sin(2x+42) = sin(77-3x)

2x + 42 = 77-3x

5x. = 35

X = 7

If x = 7

cos(3x+13) = cos((3*7)+13)

cos(3x+13) = cos(21+13)

cos(3x+13)= cos34

And

sin(2x+42) = sin((2*7)+42)

sin(2x+42)= sin (14+42)

sin(2x+42) = sin56

You might be interested in

the table represents the population of a country during the years 1984-2006. if x represents the number of years after 1984, the

Tema [17]

Answer:

y = 29.2x + 24363

Step-by-step explanation:

X = number of years after 1984 ;

25000

25077

22257

25437

25565

Using the online linear regression calculator, the line of best fit obtained after preparing the model parameters is ŷ = 29.2075X + 24363.44197

Approximately;

y = 29.2x + 24363

With :

y being the population value

x = number of years after 1984

Slope = 29.2

Intercept = 24363

3 0

3 years ago

What is the average rate of change over the interval (-1, 5)

MArishka [77]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the function is not given. However, the following explanation will guide you.

The average rate of change is calculated using;

$A = \frac{f(b) - f(a)}{b - a}$

Where

$(a,b) = (-1,5)$

Take for instance;

The function is:

$f(x) = 2x$

We have to solve for f(-1) and f(5);

i.e.

$f(-1) = 2 * -1 -2$

$f(5) = 2 * 5 = 10$

Substitute -1 for a and 5 for b

$A = \frac{f(b) - f(a)}{b - a}$

$A = \frac{f(5) - f(-1)}{5 - (-1)}$

$A = \frac{f(5) - f(-1)}{5 +1)}$

$A = \frac{f(5) - f(-1)}{6}$

Substitute values for f(5) and f(-1)

$A = \frac{10 - (-2)}{6}$

$A = \frac{10 +2}{6}$

$A = \frac{12}{6}$

$A = 2$

Apply this steps in your work

5 0

3 years ago

What value of x will make the equation true

adell [148]

Answer:

5 is the value of x

7 0

3 years ago

Read 2 more answers

Find the missing side. Round to the nearest tenth.

Firdavs [7]

Answer: 23.7

Step-by-step explanation:

Let's calculate the acute angle at the base of the triangle:

180° - 90° - 40° = 50°

Find side x:

$\dfrac{sin \: 90^{o} }{31} =\dfrac{sin \: 50^{o} }{x}\\\\sin \: 90^{o} \cdot x=sin \: 50^{o} \cdot 31\\\\sin \: 90^{o} =1\\sin \: 50^{o} \approx 0.766\\1 \cdot x =0.766 \cdot 31\\x=23.746\\23.746 \approx 23.7$

5 0

2 years ago

A pasta factory made 699.2 pounds of pasta in 8 minutes. How much pasta,on average, did the factory make each minute?

lozanna [386]

Answer:

87.4

Step-by-step explanation:

699.2/8=87.4

8 0

3 years ago

Read 2 more answers