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Ksivusya [100]
3 years ago
14

Which ratio represents the tangent of an angle?

Mathematics
2 answers:
sleet_krkn [62]3 years ago
6 0

Answer:

D.

Step-by-step explanation:

From the trigonometry shortcuts we can use the acronyms:

SOH  CAH  TOA

for an arbitrary angle Ф, plug in the length of the sides:

sin(Ф) = opposite/hypotenuse

cos(Ф) = adjacent/hypotenuse

tan(Ф) = opposite/adjacent

azamat3 years ago
3 0

Answer:

option d.opposite / adjacent

Step-by-step explanation:

opposite /adjacent ratio represents the tangent of an angle .

hope it is helpful to you ☺️

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The base of a cube is parallel to the horizon. If the cube is cut by a plane to form a cross section, under what circumstance wo
Keith_Richards [23]
This question has this set of answer choices:

a) when the plane cuts three faces of the cube, separating one corner from the others

b) when the plane passes through a pair of vertices that do not share a common face

c) when the plane is perpendicular to the base and intersects two adjacent vertical faces

d) when the plane makes an acute angle to the base and intersects three vertical faces

e) not enough information to answer the question

The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others

You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.

8 0
3 years ago
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Which of these points lies on the circle with the center (2,3) and radius 2?
yan [13]

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

Center = (2, 3)

radius = 2

Process

1.- Find the equation of the line

              (x - h)² + (y - k)² = r²

-Substitution

              (x - 2)² + (y - 3)² = 2²  

-Simplification

              (x - 2)² + (y - 3)² = 4

-Evaluate the points in the equation

A. (4, 3)

              (4 - 2)² + (3 - 3)² = 4

                   2² + 0 = 4

                           4 = 4     This point lies in the circle

B (-1, 0)

              (-1 - 2)² + (0 - 3)² = 4

                        -3² + (-3)² = 4

                          9 + 9 = 4   This point is not part of the circle

C. (1, 3)

              (1 - 2)² + (3 - 3)² = 4

                 (-1)² + (0)² = 4

                            1 = 4          This point is not part of the circle

D. (3, 4)

              (3 - 2)² + (4 - 3)² = 4

                     1² + 1² = 4

                            2 = 4          This point is not part of the circle

5 0
3 years ago
Read 2 more answers
Help please……..??.?.?.?.?.?
aleksklad [387]

9514 1404 393

Answer:

  c) 16,500 m³

  d) 277,088 mm³

  a) V = LWH

  b) V = πr²h

Step-by-step explanation:

The relevant volume formulas are ...

  • rectangular pyramid: V = 1/3LWH
  • cylinder: V = πr²h
  • rectangular prism: V = LWH

__

13c. The pyramid formula above tells us the volume is ...

  V = 1/3(60 m)(15 m)(55 m) = 16,500 m³

__

13d. The cylinder formula above tells us the volume is ...

  V = π(35 mm)²(72 mm) ≈ 277,088 mm³ ≈ 277 mL

__

14a. The shape appears to be a rectangular prism, so its volume is given by the formula ...

  V = LWH . . . . . where L, W, H represent the length, width, and height

__

14b. The volume of a cylinder is given by the formula ...

  V = πr²h . . . . . where r, h represent the radius and height (length)

7 0
3 years ago
There are 400 students in a school. Fifty five percent are girls. How many boys are there?
ki77a [65]
1) 55% is girls, then 
100-55=45% is boys.

2) 45%=0.45                                     or  2) 400 ----100%
3)400*0.45= 180 boys                                 x -----45%      x=400*45/100=180 boys

Answer is 180 boys.
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pogonyaev

Answer:

30GB trust me I will not let you fail

Step-by-step explanation:

120/4 = 30gb

7 0
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