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2 years ago

A pendulum 18 cm in length swings 72 degrees from right to left. What is the

Mathematics

1 answer:

fenix001 [56]2 years ago

6 0

Answer:

3.44 cm

Step-by-step explanation:

When the pendulum is at its lowest point, the vertical length of the pendulum is L.

When the pendulum is at its highest point, the vertical length of the pendulum is L cos θ.

So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.

The pendulum swings 72° from right to left, or 36° from the vertical.

The length of the pendulum is 18 cm.

So the height is:

h = L − L cos θ

h = 18 − 18 cos 36°

h = 3.44

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Two students are 1 foot apart on a straight path. Each student starts walking away from the other at the same moment. The first

sergiy2304 [10]

Answer:

3x + 4.5x + 1 = 28

3.6 seconds

Step-by-step explanation:

Initial distance apart = 1 foot

Student A:

Walk rate = 3 ft per second

Student B:

1.5*3 = 4.5 ft per second

How long it will take to be a total of 28 feets apart

Distance = speed * time

Let time = x in seconds

Student A distance = 3x

Stident B distance = 4.5x

Initial distance = 1 foot

3x + 4.5x + 1 = 28

7.5x = 28 - 1

7.5x = 27

x = 27/ 7.5

x = 3.6 seconds

7 0

2 years ago

The lengths of plate glass parts are measured to the nearest tenth of a millimeter. The lengths are uniformly distributed with v

yarga [219]

Answer: $\text{Mean length}=590.5\ mm\\\\\text{Variance of the lengths}=0.03\ mm$

Step-by-step explanation:

The mean and variance of a continuous uniform distribution function with parameters m and n is given by :-

$\text{Mean=}\dfrac{m+n}{2}\\\\\text{Variance}=\dfrac{(n-m)^2}{12}$

Given : $m=590.2\ \ \ n=590.80$

$\text{Then, Mean=}\dfrac{590.2+590.8}{2}=590.5\ mm\\\\\text{Variance}=\dfrac{(590.8-590.2)^2}{12}=0.03\ mm$

4 0

3 years ago

Al precio de p dólares por unidad, se venden x unidades de cierto artículo al mes en el mercado con p=50-0.5x ¿Cuántas unidades

Ray Of Light [21]

Answer:

Se debe vender un mínimo mensual de 40 artículos para tener un ingreso mínimo de 1.200 dólares.

Step-by-step explanation:

De acuerdo con el enunciado, $x$ es la cantidad mínima de artículos a un precio de $p$ . Además, los ingresos totales deben ser de un mínimo de 1200. En consecuencia, tenemos el siguiente sistema de ecuaciones:

$x \cdot p = 1200$ (1)

$p = 50-0.5\cdot x$ (2)

Aplicando (2) en (1), tenemos la siguiente ecuación polinómica:

$x\cdot (50-0.5\cdot x) = 1200$

$50\cdot x -0.5\cdot x^{2} = 1200$

$0.5\cdot x^{2}-50\cdot x +1200 = 0$ (3)

Por la Fórmula de la Cuadrática tenemos las raíces del polinomio:

$x_{1} = 60$ , $x_{2} = 40$

De acuerdo con el resultado anterior, se debe vender un mínimo mensual de 40 artículos para tener un ingreso mínimo de 1.200 dólares.

3 0

3 years ago

I will give you a brainlyist if you salve and 50 points and 5 stars plz help

Diano4ka-milaya [45]

Answer:

1. X= 56

2. X= -11/2 (When you solve you get this if you need it as a mixed number it's X= -5 1/2

Step-by-step explanation:

simplifying means: Reducing to lowest terms.

To solve for x simplify both sides of the equation, then isolate the variable.

4 0

2 years ago

What is the solution to this system of equations?

Eduardwww [97]

Answer:

x = -2, y = 3

Step-by-step explanation:

Given equations are,

4x + 5y = 7 ---------(1)

3x - 2y = -12 ----------(2)

Multiply equation (1) by 3

12x + 15y = 21 ------(3)

Multiply equation (2) by (-4)

-12x + 8y = 48 --------(4)

Now add equations (3) and (4),

(12x + 15y) + (-12x + 8y) = 21 + 48

(12x - 12x) + (15y + 8y) = 69

23y = 69

y = 3

From equation (2),

3x - 2(3) = -12

3x - 6 = -12

3x = 6 - 12

x = -2

Therefore, x = -2 and y = 3 will be the answer.

4 0

3 years ago

Read 2 more answers