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WITCHER [35]
3 years ago
13

Can someone please explain this trigonometry question? uses sin/cos/tan

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Right triangle

hypotenuse = 24

Opposite side = 15

Adjacent side = ?

Process

1.- Calculate the adjacent side using the Pythagorean theorem.

          hypotenuse² = opposite side² + adjacent side²

-Solve for adjacent side

          Adjacent side² = hypotenuse² - opposite side²

-Substitution

           Adjacent side² = 24² - 15²

-Simplification

           Adjacent side² = 576 - 225

           Adjacent side = 351

-Result

           Adjacent side = 18.73°

2.- Find the value of x°

a) Using sin x

              sinx = Opposite side/Hypotenuse = 15/24 = 0.625

                  x = 38.68°

b) Using cos x

              cos x = Adjacent side/Hypotenuse = 18.73/24 = 0.78

              cos x = 38.68°

c) Using tan x

              tanx = Opposite side / Hypotenuse = 15/18.73 = 0.80

             tan x = 38.68°  

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A partir del 1.° de diciembre, un camión de helados visita la calle de Sara cada 3 días y la calle de Ema cada 5 días. ¿Cuáles s
777dan777 [17]

Answer:

Los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.

Step-by-step explanation:

Los múltiplos de un número son todos los posibles resultados de multiplicar ese número por todos y cada uno de los números naturales.

Es decir, los múltiplos de un número natural son los números naturales que resultan de multiplicar ese número por otros números naturales.

El conjunto de los múltiplos de un número determinado (salvo el cero) es infinito, pues existen infinitos naturales para multiplicar.

Para determinar cuáles son los primeros 2 días que el camión visita ambas calles el mismo día, debes encontrar los múltiplos de 3 y 5:

múltiplos de 3: 3; 6; 9; 12; 15; 18; 21; 24; 27; 30

múltiplos de 5: 5; 10; 15; 20; 25; 30; 35; 40; 45; 50

Podes observar que los 2 primeros números comunes o que coinciden entre los múltiplos de 3 y 5 son 15 y 30. Esto quiere decir que <u><em>los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.</em></u>

7 0
2 years ago
Consider the ratio 3:5. Can you create an equivalent ratio by adding the same number to each quantity in the ratio? Explain
iragen [17]
Yes because the unit rate would be 1:2 and that's the rate of change in which 3:5 has.
HOPE IT HELPS!!
4 0
3 years ago
Read 2 more answers
5(x+4)= -2(-4-x)+3 <br> what is the answer?
lianna [129]

Answer:

x = -3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

5(x + 4) = -2(-4 - x) + 3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   5x + 20 = 8 + 2x + 3
  2. Combine like terms:                   5x + 20 = 2x + 11
  3. Subtract 2x on both sides:        3x + 20 = 11
  4. Subtract 20 on both sides:        3x = -9
  5. Divide 3 on both sides:              x = -3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    5(-3 + 4) = -2(-4 - -3) + 3
  2. Simplify:                        5(-3 + 4) = -2(-4 + 3) + 3
  3. Add:                              5(1) = -2(-1) + 3
  4. Multiply:                        5 = 2 + 3
  5. Add:                              5 = 5

Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.

And we have our final answer!

5 0
3 years ago
Read 2 more answers
When you add 18 to 1/4 of a number, you get the number itself.
Lerok [7]
So if 18 plus 1/4 of the number is the number the means 18 is 3/4 of the number so 18 divided by 3 is 6 so 1/4 = 6 now add 6 to 18 to get 4/4 of the number which is 24 number = 24
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3 years ago
Write the measurement for "A"
Sindrei [870]

Answer:

The measurement for "A" is 1.5

5 0
3 years ago
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