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IgorLugansk [536]
3 years ago
6

david is president of the student council. When the leadership team met for the for the first time he asked each person to shake

everyone else's hand. If there were six people at the meeting, how many handshakes were made.
Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0
15 is (hopefully) the correct answer!

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A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is
Tcecarenko [31]

The horizontal distance to the control tower is approximately 18506.83m

Data;

  • distance from the ground = 3900m
  • angle of elevation = 11.4 degrees
  • horizontal distance = ?

<h3>Trigonometric Ratio</h3>

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

brainly.com/question/4326804

3 0
2 years ago
-8 + 5x - 2 = 20 solve
vaieri [72.5K]

Combining like terms on the left-hand side gives us 5x-10=20. Adding 10 to both sides gives 5x=30, and dividing both sides by 5 gives our answer of \boxed{x=6}.

3 0
3 years ago
a line is perpendicular to y - 5 = -1/4(x + 8) and goes through the point (-1,2). What is the lines y-intercept?
lisabon 2012 [21]

Answer:

y = 4x + 6

Step-by-step explanation:

Turn the equation we are given into slope-intercept form.

y - 5 = -1/4(x + 8)

y - 5 = -1/4x - 2

y = -1/4x + 3

The slope of a perpendicular line is the opposite reciprocal of the original line.

-1/4 -> 4/1 -> 4

Find the new y-intercept using the point given.

y = 4x + b

2 = 4(-1) + b

2 = -4 + b

6 = b

Fill in everything we solved for.

y = 4x + 6

Best of Luck!

8 0
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What is the value of x?<br><br> x =
vampirchik [111]

Answer:

I think its 40* because 25% of a 160* circle is 40. idk

Step-by-step explanation:

4 0
3 years ago
What is 40,023,032 in expanded form
Tanya [424]

40,023,032 = (4 x 1000000000) + (0 x 100000000) + (0 x 10000000) + (0 x 1000000) + (2 x 100000) + (3 x 10000) + (0 x 1000) + (0 x 100) + (3 x 10) + (2 x 1)

4 0
2 years ago
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