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3 years ago

What number is composed of a whole number and a fraction

Mathematics

1 answer:

Marta_Voda [28]3 years ago

6 0

Answer:

When an expression consists of a whole number and a proper fraction, we define it as a mixed number.

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What’s the value of DCB?<br> Pls help

amm1812

Answer:

Step-by-step explanation:

angle ACD + angle DCB = 180 (Angles on straight line)

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 180-5

7x = 175

x = 175 / 7

x = 25

angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78

6 0

3 years ago

What is the percent of 14 out of 20? If someone could explain how I would find the percentage that would be great. :)

nasty-shy [4]

14/20 = 0.7....multiply by 100 to get ur percent = 70%
so 14 is 70% of 20

8 0

3 years ago

Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla

Svet_ta [14]

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

$tan(\theta) = \frac{CO}{CA}$

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

$\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}$

Ahora, el ancho del río es:

$CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m$

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!

4 0

3 years ago

Write the following polar equation in Cartesian coordinates:

maks197457 [2]

Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)

Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))

Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y

5 0

3 years ago

A group of 5 painters can paint a house in 21 hours. How long would it take for a group of 7 painters to paint the same house?

Lemur [1.5K]

Answer: 29.4

Step-by-step explanation:

7 0

4 years ago

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