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mylen [45]
2 years ago
9

Find sin (b) in the triangle

Mathematics
2 answers:
Gala2k [10]2 years ago
5 0

Answer:

sinβ = 15/17

General Formulas and Concepts:

<u>Math</u>

  • Simplifying

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = β

Opposite Leg = 15

Hypotenuse Leg = 17

<u>Step 2: Find</u>

  1. Substitute in variables [sine]:                                                                          sinβ = 15/17
iogann1982 [59]2 years ago
5 0

Answer: 15/17

Step-by-step explanation: Khan Academy

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73km 47hm 2dam - 11km 55hm
zvonat [6]

<u>Answer</u>

6,122 hm


<u>Explanation</u>

You can carry out operations on the like terms only. So convert all units to one unit.

I will convert them to dam

1 km =100 dam

73 km = 73 × 100

          =7,300 dam

11 km = 11× 100

         1100 dam

1 hm = 10 dam

47 hm = 47 × 10

            = 470 dam

55 hm = 55× 10

           = 550 dam

73km 47hm 2dam - 11km 55hm = (7300+ 470+2) - (1100+550)

                                                    = 7,772 - 1,650

                                                    = 6,122 hm


8 0
3 years ago
A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d
Alekssandra [29.7K]
Answer: option d. C (0,3), D (0,5).

Justification:

1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.

2) The y-coordinates of the  vertices A and B are also shown in the diagrama. They  are equal to 3 and 5 respectively.

3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.

That distance is 4, so the line may be y = - 7 or y = 0.

4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.

5) If the line is y = 0 the points C and D would have coordinates (0, 3) and (0,5), which is precisely the points of the option d. That is the answer.



3 0
3 years ago
Read 2 more answers
At the beginning of football season, Coach Carnes takes inventory of the team equipment to see what he needs. He counts 24 footb
Leviafan [203]

Answer:

13

Step-by-step explanation:

To solve this, lets first find the number of footballs he still needs:

75-24 = 51

Now to find the number of packages, divide by 4, since there are 4 balls per package:

51/4 = 12 Remainder 3

Since there is a remainder, and the Coach MUST have at least 75, then we need to add a package to include the remainder:

12 + 1 = 13 Packages

6 0
2 years ago
What is the length of the tangent line in the picture?
S_A_V [24]

Answer:

x = -2

Step-by-step explanation:

The tangent line has length "x + 8"

The secant line has length "x + 6 + 5", where

5 is the inner part

x + 6 is the outer part

Now,

the secant-tangent theorem tells us that square of the tangent line is equal to the outer segment of secant line multiplied by length of whole secant line.

So, we can say:

(x+8)^2 = (x+6)(x+6+5)

We can solve for x shown below:

(x+8)^2 = (x+6)(x+6+5)\\(x+8)^2=(x+6)(x+11)\\x^2+16x+64=x^2+17x+66\\17x-16x=64-66\\x=-2

The value of x is -2

4 0
3 years ago
Write 124 in scientific notation.
Artemon [7]

Answer:

Step-by-step explanation:

Write 124 in scientific notation.

Then, in scientific notation, 124 is written as 1.24 × 102. Actually, converting between "regular" notation and scientific notation is even simpler than I just showed, because all you really need to do is count decimal places.

6 0
2 years ago
Read 2 more answers
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