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3 years ago

How do i find the length of side labeled y?

Mathematics

1 answer:

Daniel [21]3 years ago

4 0

Answer:

y = 3

Step-by-step explanation:

The side labeled 'y' is the 'adjacent side' of the 30° angle. The hypotenuse of this right triangle is 2√3.

The trig function relating this 30° angle, the 2√3 hypotenuse and the adj. side labeled 'y' is the cosine:

adjacent side y

cos 30° = ---------------------- = --------- , and the value of cos 30° is (√3)/2.

2√3 2√3

Solving for y, we get 2√3 (√3)/2, or y = 2(3)/2, or y = 3

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For which function does f decrease by 15% every time x increases by 1

LenaWriter [7]

Answer:

$f(x) = 0.85^{x}$

Step-by-step explanation:

The exponential function that decrease by 15% every time x increases by 1 is given by:

$f(x) = {(1 - 0.15)}^{x}$

We simplify the parenthesis to get:

$f(x) = 0.85^{x}$

Therefore the decrease by 15% every time x increases by 1 is

$f(x) = {0.85}^{x}$

The second choice is correct.

7 0

3 years ago

En un videojuego, Marta ha conseguido 36.450 puntos capturando 11 monedas de oro. ¿ cuántos puntos vale cada moneda de oro?

sukhopar [10]

Answer:

3313.64 puntos

Step-by-step explanation:

Podemos interpretar la pregunta anterior Matemáticamente como:

11 monedas de oro = 36.450 puntos

1 moneda de oro = x

Multiplicar cruzada

11 monedas de oro × x = 36.450 puntos × 1 monedas de oro

x = 36.450 puntos × 1 monedas de oro / 11

x = 3313.6363636 puntos

Aproximadamente

1 moneda de oro = 3313.64 puntos

3 0

3 years ago

The top is an example of what it should look like ) helpp please

lidiya [134]

Answer:

$12.15/3

3 games

$4.05

It would cost $4.05 per game.

Step-by-step explanation:

4 0

3 years ago

Does anyone know the answer to this one?

polet [3.4K]

Answer:

$\large\boxed{a(x+4)(x-5)=0,\ a\in\mathbb{R}-\{0\}}\\\\\text{for}\ a=1\to\boxed{x^2-x-20=0}$

Step-by-step explanation:

$\text{If}\ x_1\ \text{and}\ x_2\ \text{are the roots of the quadratic equation}\ ax^2+bx+c=0,\\\text{then}\ ax^2+bx+c=a(x-x_1)(x-x_2).\\\\\text{If}\ x_1\ \text{and}\ x_2\ \text{, then they are the roots of the quadratic equation.}\\\\\text{We have}\ x_1=-4\ \text{and}\ x_2=5.\ \text{Therefore we have the equation:}\\\\a(x-(-4))(x-5)=0\\\\a(x+4)(x-5)=0\qquad\text{for any value of}\ a\ \text{except 0}.$

7 0

3 years ago

What’s the equation of a line?

Akimi4 [234]

Answer:

1. y= 3x -10

2. y= -5x + 7

3. y= x -9

4. y= 2/3x- 6

5 y= -x + 2 1/2

6 0

2 years ago