Help with this question.<br> What is sin 30*?

Solve for x in the given interval.<br><br> sec x= -2√3/3, for π/2 ≤x≤π

drek231 [11]

Answer:

b. $x=\frac{5\pi}{6}$

Step-by-step explanation:

The given function is

$\sec x=-\frac{2\sqrt{3} }{3},\:\:for\:\:\frac{\pi}{2}\le x \le \pi$

Recall that the reciprocal of the cosine ratio is the secant ratio.

This implies that;

$\frac{1}{\cos x}=-\frac{2\sqrt{3} }{3}$

$\Rightarrow \cos x=-\frac{3}{2\sqrt{3} }$

$\Rightarrow \cos x=-\frac{\sqrt{3}}{2}$

We take the inverse cosine of both sides to obtain;

$x=\cos^{-1}(-\frac{\sqrt{3}}{2})$

$x=\frac{5\pi}{6}$

4 0

3 years ago

A ship leaves port at 1:00 P.M. and travels S35°E at the rate of 27 mi/hr. Another ship leaves the same port at 1:30 P.M. and tr

Len [333]

To solve this problem you must apply the proccedure shown below:

1. You must apply the Law of Cosines, as you can see in the figure attached. Then:

- The first ship travels at $27 mi/hr$ in for two hours. Therefore, the side $a$ is:

$a=(27 mi/hr)(2 hr)=54mi$

- The second ship travels at $18 mi/hr$ for $1.5 hours$ . Therefore, the side $b$ is:

$b=(18mi/hr)(1.5hr)=27mi$

- Now, you can calculate $c$ :

$c=\sqrt{54^{2}+27^{2}-2(54)(27)Cos(55)}=44 mi$

The answer is: $44 miles$

8 0

2 years ago

Demarcus and his brother are saving up some money to take a trip together. to open a joint savings account, demarcus deposited a

Anastaziya [24]

a. Demarcus' method is (d + d + 7) = 111/3

b. His brother's method is 3d + 3d + 3 × 7 = 111

c. The banker's method is 3(2d + 7) = 111

<h3>How to complete each person's method</h3>

Each pperson's method is the solution to a linear equation

<h3>What is a linear equation?</h3>

A linear equation is an equation in which the highest power of the unknown is 1.

<h3>a. How to complete Demarcus' method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and demarcus was solving the equation and his first step was to divide both sides by 3, we have that

3(d + d + 7) = 111

(d + d + 7) = 111/3

d + d + 7 = 37

2d + 7 = 37

2d = 37 - 7

2d = 30

d = 30/2

d = 15

So, Demarcus' method is (d + d + 7) = 111/3

<h3>b. How to complete his brother's method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and his brother started solving the equation by using the distributive property,we have that

3(d + d + 7) = 111

3d + 3d + 3 × 7 = 111

3d + 3d + 21 = 111

6d + 21 = 111

6d = 111 - 21

6d = 90

d = 90/6

d = 15

So, his brother's method is 3d + 3d + 3 × 7 = 111

<h3>c. How to complete the banker's method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and their banker started solving the equation by combining like terms, we have that

3(d + d + 7) = 111

3(2d + 7) = 111

6d + 21 = 111

6d = 111 - 21

6d = 90

d = 90/6

d = 15

So, the banker's method is 3(2d + 7) = 111

Learn more about linear equation here:

brainly.com/question/26260688

#SPJ1

6 0

1 year ago

From the sum of 2 and -11, subtract the sum of 2 and -6<br>

jolli1 [7]

Answer: -5

Step-by-step explanation: 2 + -11 = -9 and subtract -4 from it since it’s the sum of 2 + -6. -9 - -4 is -9 + 4 so -5

7 0

3 years ago

Read 2 more answers

Given the function f(x) = 3x3 + 7x2 + 5x, find f(-3).

Julli [10]

Answer:

the ans is b -33

Step-by-step explanation:

by putting the -3 in the place of x and adding,subtracting

4 0

3 years ago

Help with this question. What is sin 30*?