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3 years ago

How do you solve the equation k/90-1/9=1/90

Mathematics

2 answers:

Mumz [18]3 years ago

8 0

Answer: 11

Step-by-step explanation:

k/90-1/9=1/90

Multiply left and right side of equation with 90 . You get:

k-10=1

k=10+1

k=11

Mariulka [41]3 years ago

3 0

Answer:

k = 11

Step-by-step explanation:

k/90 - 1/9 = 1/90

k/90 = 1/90 + 1/9

k/90 = 1 + 10/90

k/90 = 11/90

k = 11/90 / 90

k = 11/90 * 90

k = 11

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3 years ago

The list shows the number of stories in the 11 tallest buildings

tangare [24]

The median and mode of the given data is 30 and 32 respectively.

Step-by-step explanation:

Given,

The number of stories in 11 buildings are 17,19,20,21,24,30,33,37,38,40,40

To find the median and mode of the data.

Formula

Mean = sum of the data ÷ number of terms

If the number of term is odd, the median = $\frac{n+1}{2}$ th term

Mode = 3 Median - 2 mean

Now,

Mean = (17+19+20+21+24+30+33+37+38+40+40)÷11 = 29

Median = $\frac{11+1}{2}$ th term = 6th term = 30

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Mode = 3×30-2×29

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Leona [35]

Answer:

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Step-by-step explanation:

500 4

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3 years ago

Read 2 more answers

dos aviones parten de una ciudad con direcciones S32°E y E57°N¿ cuál es el angulo que forma sus direcciones?

Elan Coil [88]

Answer:

El ángulo formado entre las dos direcciones es aproximadamente 115º.

Step-by-step explanation:

Las direcciones dadas en el enunciado significan lo siguiente:

S32ºE - <em>32º al este del sur.</em>

E57ºN - <em>57º al norte del este.</em>

Vectorialmente hablando, cada dirección es la siguiente:

S32ºE

$A(x,y) = (\sin 32^{\circ}, -\cos 32^{\circ})$

$A(x,y) = (0.530, -0.848)$

E57ºN

$B(x,y) = (\cos 57^{\circ},\sin 57^{\circ})$

$B(x,y) = (0.545, 0.839)$

El ángulo formado entre los dos vectores unitarios ( $\theta$ ), medido en grado sexagesimales, puede determinarse mediante la siguiente ecuación vectorial:

$\theta = \cos^{-1} \frac{A\,\bullet \,B}{\|A\|\cdot \|B\|}$

Donde:

$\|A\|$ - Norma de $A(x,y)$ .

$\|B\|$ - Norma de $B(x,y)$ .

Si sabemos que $A(x,y) = (0.530, -0.848)$ , $B(x,y) = (0.545, 0.839)$ , $\|A\| = 1$ y $\|B\| = 1$ , entonces el ángulo formado entre los dos vectores es: