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3 years ago

Melanie is 2 years older than twice bill’s age. bill is 5 years old.how old is melanie?

Mathematics

1 answer:

spayn [35]3 years ago

3 0

Let us say that:

x = age of Melanie

y = age of Bill = 5

We are given that:

x = 2 y + 2

Solving for x by substituting the value of y:

x = 2 * 5 + 2

x = 10 + 2

x = 12

<span>So Melanie is 12 years old.</span>

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ElenaW [278]

$\sf\huge\underline{\star Solution:-}$

$\rightarrow$ Let the women's height be AE and distance between the women and tower be AC.

Also let the height of tower be BC.

$\rightarrow$ Now, clearly it is forming a triangle.

So, in triangle ABC,

$\rightarrow$ $\sf{Tan50° \:= \: \frac{BC}{AC}}$

$\rightarrow$ $\sf{1.19 \:= \: \frac{BC}{50}}$

$\rightarrow$ $\sf{1.19 ×50\:= \: BC}$

$\rightarrow$ $\sf{59.5m\:= \: BC}$

$\rightarrow$ Hence, BC = 59.5m

So, BD(total height of the tower) $\sf{ = \:BC+CD}$

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Therefore, total height of the tower = $\sf\purple{ 61.15m.}$

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2 years ago

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3 years ago

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.

Free_Kalibri [48]

Answer:

1191.4 ; 34.5

Step-by-step explanation:

Given the data:

29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150

The sample variance and standard deviation can be obtained thus :

Σ(X - m)² / (n - 1)

Where, m = mean of the sample

n = sample size

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Using a calculator:

The variance, σ² ;

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(x -m)^2

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22636.95 / 19

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Standard deviation = sqrt( Variance)

Standard deviation = sqrt(1191.4184)

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