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gladu [14]
3 years ago
12

Solve 2 cos ø + 2=3 in the interval from 0 to 2 π.Round to the nearest hundredth.

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

The value of ∅ for the given trigonometrical equation is 60° .

Step-by-step explanation:

Given as :

The Trigonometrical equation

2 cos∅ + 2 = 3

<u>Now, Solving this equation to get the value of ∅</u>

∴ The equation can be written as

2 cos∅ = 3 - 2

or , 2 cos∅ = 1

or , cos∅ = \dfrac{1}{2}

∴ ∅ = cos^{-1}(\frac{1}{2})

I.e ∅ = 60°

So,The value of ∅ for the given trigonometrical equation = ∅ = 60°

Hence, The value of ∅ for the given trigonometrical equation is 60° . Answer

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(50 points to answer 3 questions)
snow_tiger [21]

Answer:

y = −55x + 275

The initial value is 5

Mike's distance from home when he begins cycling

Step-by-step explanation:

The equation of a line is

y= mx+b where m is the slope and b is the y intercept

The y intercept is 275

Two points are (0,275) and (5,0)

The slope is (y2-y1)/(x2-x1) = (0-275)/(5-0) = -275/5 =-55

y = -55x+275

The initial value is when x = 0

When x = 0 , y = 5

y = 12-2x

Rewriting

y = -2x+12

This is in the form y = mx +b where the slope is -2 and the y intercept is 12

12 is the initial value or when x = 0.  It would be the distance that he needs to cover.  He needs to go from the library to his house.

5 0
3 years ago
6. Complete la tabla con el número 4.956: Dígito Valor posicional Notación estándar Notación en potencia De esta forma el número
Rzqust [24]

Answer:

6. Miles  {}     cientos       decenas      unidades

  4   {}              9                5               6

7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Step-by-step explanation:

6. Los valores posicionales de dígitos son;

Miles  {}     cientos       decenas      unidades

4   {}              9                5                   6

 

7. El número de cuadrados que tiene Fernando = 12

El número de cuadrados que tiene Catalina = 16

El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;

largo × ancho = Área del cuadrado

largo = ancho = lado del cuadrado

Lado del cuadrado × Lado del cuadrado = Área del cuadrado

(Lado del cuadrado) ² = Área del cuadrado

Lado del cuadrado = √ (Área del cuadrado)

Para Fernando, Área del cuadrado = 12

Lado del cuadrado para Fernando = √12 = 2 · √3 cartones

Para Catalina, Área del cuadrado = 16

Lado del cuadrado para Catalina = √16 = 4 cartones

Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

8 0
3 years ago
What is the sum of the geometric series?
Dvinal [7]

Essentially this is asking you to sum the first three values of the geometric series that starts with i being 1 and has the rule of (8(\frac{1}{4})^{i-1}).

Since we must sum the first <em>three </em>geometric values we need to see what the value of i will be for the first three. The sigma notation shows us that the first i will be equal to 1. This means the second i is 2 and the third i is 3.

Knowing this you can plug in the corresponding i values into (8(\frac{1}{4})^{i-1}) and sum it all together

(8(\frac{1}{4})^{1-1}) + (8(\frac{1}{4})^{2-1}) + (8(\frac{1}{4})^{3-1})

(8(\frac{1}{4})^{0}) + (8(\frac{1}{4})^{1}) + (8(\frac{1}{4})^{2})

(8(1)) + (8(\frac{1}{4})) + (8(\frac{1}{16}))

(8) + (2) + (\frac{1}{2}))

10 + \frac{1}{2})

\frac{21}{2})

10.5

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0
3 years ago
CAN ANYONE HELP ME WITH THIS ​
Alchen [17]

The line in the middle has a right angle, so the angle just above the Y would be 90 degrees.

The angle to the right of y is given as 48.

The three inside angles of a triangle need to equal 180.

So y  = 180 - 90 - 48 = 42 degrees.

5 0
3 years ago
Rewrite 1/10,000 to the power of ten
g100num [7]

Answer:

10^4

Step-by-step explanation:

3 0
2 years ago
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