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3 years ago

Which shows another way to name the ray LR?

Mathematics

1 answer:

Leni [432]3 years ago

6 0

A) LD because the ray LR is pointing in an upwards direction, but ML contains an outside point. Therefore, LD is the answer
Let me know if you need further explanation
Hope this helps!

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Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te

motikmotik

Given:

There are given that the cos function:

$cos210^{\circ}=-\frac{\sqrt{3}}{2}$

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

$cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}$

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

$\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}$

Then,

Put the value of cos210 degrees into the above function:

So,

$\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}$

Final answer:

Hence, the value of the cos(105) is shown below:

$cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}$

4 0

1 year ago

While visiting Wallawulla State Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa

katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135 - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0

3 years ago

What is the Cube of a (-99)

Arada [10]

Answer:

-970299

Step-by-step explanation:

the cube of -99 means -99 x -99 x - 99

that is: -970299

Hope this helps

4 0

3 years ago

What is the solution for this set of equation (2r-3)-4=37

Alex777 [14]

Answer:

(2r-3)-4=37

or,(2r-3)=37+4

or,2r-3=41

or,2r=41+3

or,2r=44

or, r= 44/2

hence , r= 22

5 0

3 years ago

General Electric Company has an assembly line where light bulbs are produced. The ratio of defective bulbs to good bulbs produce

kati45 [8]

Answer: 200 bulbs will not be defective.

Step-by-step explanation:

The ratio of defective bulbs to good bulbs produced each day is 2 to 10. This ratio can also be expressed as 1 to 5 by reducing to lowest terms.

The total ratio is the sum of the proportions.

Total ratio = 1 + 5 = 6

This means that if n bulbs is produced, the number of defective bulbs would be

1/6 × n

The number of non defective would be

5/6 × n

Since n = 240, then the number of bulbs that will not be defective is

5/6 × 240 = 200 bulbs

4 0

3 years ago