All categories

3 years ago

In somalia, city b is 75 kilometers due north of city

Mathematics

1 answer:

nadya68 [22]3 years ago

4 0

We first approach this problem by forming a diagram. Refer to the attachment.

You might notice a right triangle forming when you connect cities A, B, and C. In this case, we'll just need the Pythagorean theorem when solving for the distance between city B and city A.

$AB^{2}=BC^{2} + AC^{2}= 75^{2} + 42^{2} =7389$
$AB=85.96$

ANSWER: The distance between city B and city A is 85.96 kilometers.

You might be interested in

How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.

kifflom [539]

<h2><u>QUADRATIC EQUATION</u></h2>

<h2> $\mathbb{ANSWER:}$ </h2>

$\bold{x = 0.8 \: } \: \sf \: {\color{grey}or} \: \: \: \bold{ x= \frac{4}{5} } \\$

$\bold{x = - 6}$

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

$\bold{Given \: Equation: \color{brown} 5x²+26x-24=0}$

First, add 24 to both sides.

$\bold{5x²+26x-24 - \purple{ 24} = 0 + \purple{24}}$

$\bold{ \implies \: 5x²+26x = 24 }$

Since the coefficient of 5x² is 5, divide both sides by 5.

$\bold{ \frac{5 {x}^{2} + 26x }{5} = \frac{24}{5} } \\$

$\bold{ \implies \: {x}^{2} + \frac{26}{5} x = \frac{24}{5} } \\$

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

$\bold{ {x}^{2} + \frac{26}{5} x + \frac{ \purple{169}}{ \purple{25}}= \frac{24}{5} + \frac{ \purple{169}}{ \purple{25}} } \\$

$\bold{ \implies \:\bold{ {x}^{2} + \frac{26}{5} x + \frac{ 169}{ {25}}= \frac{289}{25} } } \\$

Factor the left side.

$\bold{(x + \frac{13}{5} ) {}^{2} = \frac{289}{25} } \\$

Take square root.

$\bold{x + \frac{13}{5} = ± \: \sqrt{ \frac{289}{25} }} \\$

Then, add (-13)/5 to both sides.

$\bold{x + \frac{13}{5} + \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \: \sqrt{ \frac{289}{25}}} \\$

$\bold{ \: x = \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\$

$\implies \: \underline{ \boxed{ \bold{ \frac{4}{5} } \sf \: \: or \: \: \bold{ x = - 6}}} \\$

_______________❖_______________

3 0

2 years ago

Read 2 more answers

stadium floor that is in the shape of a circle has a diameter with length of 210 yards. which of these measurements is closest t

kenny6666 [7]

Answer:

You have no choices but the area of that floor is 34,618.5 yds

Step-by-step explanation:

A = π r²

A = 3.14 (105²)

A = 34,618.5

3 0

2 years ago

Is 45/5 equal to a whole number

scoray [572]

Yes, indeed it does equal a whole number. 45/5 equals 9, which is a whole number. Whole numbers are numbers that you count up from and including 0 (0,1,2,3,4,5,6...)

You get 9 because 45/5 is the same as 45 divided by 5 which is 9.

5 0

3 years ago

A box at the post office has dimensions as shown below ,what is the volume of the box ?

o-na [289]

Answer: 1536

Step-by-step explanation:

Took quiz

7 0

2 years ago

Help pls ill give u a lot of points

DiKsa [7]

Hold on it might take me a few

5 0

2 years ago