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IRINA_888 [86]
2 years ago
8

What is trigonometry​

Mathematics
2 answers:
irinina [24]2 years ago
6 0

Answer:

Trigonometry, as the name might suggest, is all about triangles. More specifically, trigonometry is about right-angled triangles, where one of the internal angles is 90°. Trigonometry is a system that helps us to work out missing or unknown side lengths or angles in a triangle.

Step-by-step explanation:

nikklg [1K]2 years ago
6 0

Answer:

Step-by-step explanation:

the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

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Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl
Vikki [24]

Answer:

Height: 3/2 inches

Length:  12 inches

Width: 4 inches

Step-by-step explanation:

Let x is the side length of the square

The height of the box by cutting squares off :x

  • The new length of the cardboard = 15 -2x (because we cut from 4 corners)
  • The new width of the cardboard = 7 -2x (because we cut from 4 corners)

The new volume of it is:

V = (15 -2x) (7 -2x) x

<=> V = 4x^3 -44x^2 +105x

To maximum volume, we use the first derivative of the volume

\dfrac{dV}{dx} = 0

<=> 12x^2-88x+105=0

<=> \left(2x-3\right)\left(6x-35\right) = 0

<=> 2x -3 = 0 or 6x -35 = 0

<=> x = 3/2 or x = 35/6

To determine which value of x gives a maximum, we evaluate

\dfrac{d^2V}{dx^2} = 24x -88

  • If  x = 3/2, we have:

\dfrac{d^2V}{dx^2}= 24(3/2) -88  = -52

  • If x = 35/6, we have:

\dfrac{d^2V}{dx^2} = 24(35/6) -88 = 52

We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.

So the dimensions (in inches) of the box is:

Height: 3/2 inches

Length: 15-2(3/2) = 12 inches

Width: 7 - 2(3/2) = 4 inches

5 0
2 years ago
Someone help me pleaseeeee
Rus_ich [418]

Answer:

5. Plane P

6. Line segment DB

7. Line CE

11. Ray BE (with an arrow on top from left to right) and Ray EC (with an arrow on top from left to right)

5 0
3 years ago
A triangular pane of glass has a height of 34 inches and an area of 442 square inches. What is the length of the base of the pan
Katena32 [7]

Answer:

26

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
1
Sauron [17]

Answer:

Step-by-step explanation:

"Four times a number" in symbols is "4n."

6 0
2 years ago
Find the length of the hypotenuse of a right triangle with legs of 4 and 3. A).5 B).6 C).7 D).8
iogann1982 [59]

4×4=16

3×3=9

16+9=25

\sqrt{25}

=5

ans =5

4 0
3 years ago
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