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ziro4ka [17]
1 year ago
13

If the measure of angle is 0 is7x/4, which statements are true?

Mathematics
2 answers:
gayaneshka [121]1 year ago
5 0

Answer:

a) The measure of the reference angle is 45°

Step-by-step explanation:

Reference angle:

   \sf \dfrac{7\pi }{4} \ is \ in \ the \ fourth \ quadrant.\\\\ \text{Reference angle = 2$\pi - \theta$}\\

                             \sf =2\pi -\dfrac{7\pi }{4}\\\\ =\dfrac{8\pi }{4}-\dfrac{7\pi }{4}\\\\= \dfrac{\pi }{4}\\\\=\dfrac{180}{4}\\\\

                             = 45°

Aleonysh [2.5K]1 year ago
4 0

Answer:

See below

Step-by-step explanation:

As the other answerer posted : the reference angle is 45 °

<u>ALSO</u>   tan = -1     and sin = - sqrt(2) / 2

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Find the sum of the first 90 terms of the sequence -4,-1,2,5,8
telo118 [61]

Answer:

1655

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence

d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3

This indicates the sequence is arithmetic with sum to n terms

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

Here a₁ = - 4, d = 3 and n = 90, thus

S_{90} = \frac{90}{2} [ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655

4 0
3 years ago
What is the range of f?
zhannawk [14.2K]

Answer: [-3,7]

Step-by-step explanation:

The range of a function is the set of y-values

4 0
2 years ago
Halla la tasa de variación de cada funcion en el intervalo [-4,3] e indica si es positiva , negativa o nula A) f(x)=x2-2x+4 B) f
masya89 [10]

Answer:

A) \hspace{3}Rate\hspace{3}of\hspace{3}change=-5\hspace{3}Negative\\\\B)\hspace{3}Rate\hspace{3}of\hspace{3}change=-21\hspace{3}Negative  

Step-by-step explanation:

Given a function f(x), we called the rate of change to the number that represents the increase or decrease that the function experiences when increasing the independent variable from one value "x_1" to another "x_2".

The rate of change of f(x) between x_1 and x_2 can be calculated as follows:

Rate\hspace{3}of\hspace{3}change=f(x_2)-f(x_1)

For:

f(x)=x^2-2x+4

Let's find f(x_1) and f(x_2), where:

[x_1,x_2]=[-4,3]

f(x_1)=f(-4)=(-4)^2-2(4)+4=16-8+4=12\\f(x_2)=f(3)=(3)^2-2(3)+4=9-6+4=7

So:

Rate\hspace{3}of\hspace{3}change =7-12=-5\hspace{3}Negative

And for:

f(x)-3x+2

Let's find f(x_1) and f(x_2), where:

[x_1,x_2]=[-4,3]

f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7

So:

Rate\hspace{3}of\hspace{3}change =-7-14=-21\hspace{3}Negative

<em>Translation:</em>

Dada una función f(x), llamábamos tasa de variación al número que representa el aumento o disminución que experimenta la función al aumentar la variable independiente de un valor "x_1" a otro "x_2".

La tasa de variación de f(x) entre x_1 y x_2, puede ser calculada de la siguiente forma:

Tasa\hspace{3}de\hspace{3}variacion=f(x_2)-f(x_1)

Para:

f(x)=x^2-2x+4

Encontremos f(x_1) y f(x_2), donde:

[x_1,x_2]=[-4,3]

f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7

Entonces:

Tasa\hspace{3}de\hspace{3}variacion =7-12=-5\hspace{3}Negativa

Y para:

f(x)-3x+2

Encontremos f(x_1) y f(x_2), donde:

[x_1,x_2]=[-4,3]

f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7

Entonces:

Tasa\hspace{3}de\hspace{3}variacion=-7-14=-21\hspace{3}Negativa

8 0
3 years ago
Help! Urgent request
TiliK225 [7]

Answer: 6 students

What we know:

Students: 24

Students who play checkers: \frac{2}{3}

Students who also play sudoku:\frac{3}{8} of the \frac{2}{3}

24 ÷ 3 = 8, so 8 × 2 = 16 (students who play checkers)

\frac{3}{8} × 2 = \frac{6}{16}

So the answer is,

6 students play both checkers and sudoku

8 0
3 years ago
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Alisiya [41]
<h2>2 units down</h2><h2>1 unit to the left</h2>
3 0
2 years ago
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