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Elan Coil [88]
3 years ago
6

The ticket for ice hockey match was £14.50. the price has increased by 7%.

Mathematics
2 answers:
Serjik [45]3 years ago
7 0
(14.50×7)/100 + 14.50
Anna35 [415]3 years ago
6 0

Initial price of ticket = 14.50

Increased % = 7

So, prize after increment, 14.50 + (14.50*7)/100

 =14.50 + 1.015 =  (currency) 15.515.

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Use your understanding of the symmetry of the sine and cosine functions to determine the value of tan(−theta) for all
Dmitriy789 [7]

Answer:

tan(-\theta)=-tan\theta

Odd function

Step-by-step explanation:

We are given that

tan(-\theta)

We have to determine the value of tan(-\theta)and find tangent function is odd,even or neither.

tan(-\theta)=\frac{sin(-\theta)}{cos(-\theta)}

tan\theta=\frac{sin\theta}{cos\theta}

We know that

sin(-\theta)=-sin\theta

cos(-\theta)=cos\theta

By using  identities

Then, we get

tan(-\theta)=\frac{-sin\theta}{cos\theta}=-tan\theta

tan(-\theta)=-tan\theta

Odd function: If f(-x)=-f(x)

Even function:If f(-x)=f(x)

tan(-\theta)=-tan\theta

Therefore, function is an odd function.

7 0
3 years ago
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mrs_skeptik [129]

Given:

Line a passes through (2, 10) and (4, 13).

Line b passes through (4, 9) and (6, 12).

Line c passes through (2, 10) and (4, 9).

To find:

Which of the lines, if any are perpendicular.

Solution:

If a line passes through two points, then the slope of line is

m=\dfrac{y_2-y_1}{x_2-x_1}

Line a passes through (2, 10) and (4, 13).  So, slope of this line is

m_a=\dfrac{13-10}{4-2}=\dfrac{3}{2}

Line b passes through (4, 9) and (6, 12).  So, slope of this line is

m_b=\dfrac{12-9}{6-4}=\dfrac{3}{2}

Line c passes through (2, 10) and (4,9).  So, slope of this line is

m_c=\dfrac{9-10}{4-2}=\dfrac{-1}{2}

Product of slopes of to perpendicular lines is -1.

m_a\cdot m_b=\dfrac{3}{2}\times \dfrac{3}{2}=\dfrac{9}{4}\neq -1

m_b\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1

m_a\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1

Therefore, any of these lines are not perpendicular to each other.

8 0
3 years ago
Mcd de 120 , 160 , 180 , 200 paso por paso (el que responda le doy corona)
olga55 [171]

Answer:

The Highest Common Factor is 20

Step-by-step explanation:

Aquí le mostraremos paso a paso como hallar el Máximo Común Divisor de 120 y 180. (mcd de 120 y 180) Paso 1: Creamos una lista de todos los divisores de 120, que incluye 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, y 120. Paso 2: Siguiente, creamos una lista de todos los divisores de 180, que incluye 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, y 180. Paso 3: Finalmente, comparamos las listas de Paso 1 y Paso 2 y hallamos que el mayor número que tienen en común es 60. Esto significa que el Máximo Común Divisor de 120 y 180 es 60. MCD de 120 y 180 = 60

4 0
3 years ago
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disa [49]

Answer: x

Step-by-step explanation:

6 0
3 years ago
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Triss [41]
The answer is 3:9 or 1:3
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3 years ago
Read 2 more answers
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