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3 years ago

9

Evaluate the express 1. (15 - 4) + 33 What’s the answer

2 answers:

nlexa [21]3 years ago

7 0

Answer:44

Step-by-step explanation:44

Umnica [9.8K]3 years ago

5 0

Answer:

44

Step-by-step explanation:

(15-4) = 11

11 + 33 = 44

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Beatriz went on a road trip. By the end of the first day, she was 200\text{ km}200 km200, end text from the starting point of he

vlada-n [284]

The direction of Beatriz relative to the <em>starting</em> point of her trip is approximately $278.806^{\circ}$ .

<h3>How to find the position of Beatriz relative to the starting point of her trip</h3>

After a careful reading of the statement, we find that <em>final</em> position ( $\vec r$ ) by the end of the second day is found by means of this vector sum:

$\vec r = \vec r_{1} + \vec r_{2}$ (1)

Where:

$\vec r_{1}$ - Vector distance of the first day relative to starting point, in kilometers.
$\vec r_{2}$ - Vector distance of the second day relative to the final point of $\vec r_{1}$ , in kilometers.

If we know that $\vec r_{1} = (200\,km \cdot \cos 300^{\circ}, 200\,km\cdot \sin 300^{\circ})$ and $\vec r_{2} = (150\,km\cdot \cos 250^{\circ}, 150\,km\cdot \sin 250^{\circ})$ , then final position of Beatriz relative to origin is:

$\vec r = (200\,km\cdot \cos 300^{\circ}, 200\,km\cdot \sin 300^{\circ})+(150\,km \cdot \cos 250^{\circ}, 150\,km\cdot \sin 250^{\circ})$

$\vec r = (48.670, -314.159)\,[km]$

And the direction <em>relative to</em> the <em>starting</em> point ( $\theta$ ), in degrees, is found by following inverse <em>trigonometric</em> relation:

$\theta = \tan^{-1} \frac{r_{y}}{r_{x}}$ (2)

If we know that $r_{x} = 48.670\,km$ and $r_{y} = -314.159\,km$ , then the direction of Beatriz relative to the starting point of her trip is:

$\theta = \tan^{-1} \left(\frac{-314.159\,km}{48.670\,km} \right)$

$\theta \approx 278.806^{\circ}$

The direction of Beatriz relative to the <em>starting</em> point of her trip is approximately $278.806^{\circ}$ . $\blacksquare$

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479

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2 years ago

Stan needs a mine.Mine A is offering his services for an initial $90 in addition to $15 per hour. Mine B is offering her service

abruzzese [7]

Let the number of hours = x

Mine A is offering his services for an initial $90 in addition to $15 per hour.

So, Charges of A = 90 + 15x

Mine B is offering her services for an initial $30 in addition to $35 per hour.

so, Charges of B = 30 + 35x

The two mines charge the same amount of money when:

Charges of A = Charges of B

So,

$90+15x=30+35x$

solve for x

combine like terms

$\begin{gathered} 35x-15x=90-30 \\ 20x=60 \\ x=\frac{60}{20} \\ \\ x=3 \end{gathered}$

so, the two mines will charge the same amount of money when the number of hours = 3

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11 months ago

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram? Shape ABCD i

inysia [295]

the answer is 3,5 because the estement of the ther is no negative

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3 years ago

A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the ba

faust18 [17]

The number of bacterial population after 5 hours is; 816

The formula for the exponential growth of the population is;

N(t) = N_o(1 + r)^(t)

Where;

N(t) is number of bacteria after t hours

N_o is number of bacteria initially

r is growth rate

t is time

We are given;

N_o = 480

r = 11.2% = 0.112

t = 5

Thus;

N(5) = 480(1 + 0.112)^(5)

N(5) = 816.14

Approximating to a whole number gives; N(5) = 816 bacteria

Read more about exponential growth at; brainly.com/question/15316908

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2 years ago

What is the answer for ?x+2y=4 3x+6y=18

Musya8 [376]

49 the answer is 49 yuyyyyyy

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3 years ago