Solve for x, 0° ≤ x ≤ 360°.<br><br> 2cos x + 4 = 5

Arlecino [84]

2 hundreds be cause there are 2, and you are trying to find hundreths so take the first number

4 0

3 years ago

The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S

IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

$f(x)=\sqrt{-x}$

we know that

The radicand of the function cannot be a negative number

so

$-x\geq 0$

Solve for x

Multiply by -1 both sides

$x\leq 0$

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

<em>Example</em>

For x=144

$144\leq 0$ ----> is not true

This value of x not satisfy the domain

substitute

$f(x)=\sqrt{-144}$ ----> this value is undefined

For x=-144

$-144\leq 0$ ----> is true

This value of x satisfy the domain

substitute

$f(x)=\sqrt{-(-144)}$

$f(x)=\sqrt{144}$ ----> this value is defined

therefore

The function will be undefined for all those values of x that do not belong to the interval of the domain of the function

6 0

3 years ago

Read 2 more answers

Miranda and cyndi start hiking from the same point. miranda hikes at a heading of , or due west, and cyndi hikes at a heading of

igomit [66]

They are both 6.9 miles apart after one hour if they both hike 4 miles/hour

The correct option is (B)

<h3>What is the triangle?</h3>

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

<h3>According to the given information:</h3>

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°

<h3>From the isosceles triangle:</h3>

h = 4sin30

h = 4(1/2)

h = 2 miles

<h3>From Pythagoras theorem:</h3>

x² = 4² - h² = 4² - 2²

x = √12

x = 3.46 miles

Total distance = 2×3.46 = 6.9 miles

Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ4

I understand that the question you are looking for :

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?

A) 4.3 miles. .

B) 6.9 miles

C) 8.0 miles

D) 5.7 miles

4 0

2 years ago

Which point is the circumcenter of the triangle?

kakasveta [241]

Answer:

it is D

Step-by-step explanation:

For knowing it, it is necessary to draw straight line above the triangle from the middle of the sides, forming a 90° degree angle. But as they are already drew, it is easier

6 0

3 years ago

William has a 26 -liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill th

madreJ [45]

Subtract the volume of the water from the volume of the tank to get the total volume of the marbles.

26 liters - 20.9 liters = 5.1 liters

He has 20.9 liters of water.

He has 85 marbles that add up to 5.1 liters of volume.

To find the volume of one marble, we divide 5.1 liters by 85.

(5.1 liters)/85 = 0.06 liters

The volume of each marble is 0.06 liters.

If he uses 200 marbles, the the marbles will occupy 200 * 0.06 liters = 12 liters.

The volume of the tank is 26 liters. 12 liters of volume is occupied by the marbles. The rest of the volume is water.

26 liters - 12 liters = 14 liters

4 0

3 years ago

Solve for x, 0° ≤ x ≤ 360°. 2cos x + 4 = 5