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Katyanochek1 [597]

2 years ago

11

The Enterprise High School girl's soccer team won 80% of their games last year if the team won 12 games how many did they play?

Solve the question using two different methods (Double number line and percent proportion)

1 answer:

jasenka [17]2 years ago

3 0

I gizg A Tduuiy gf dryfchv u

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What number has the same value as 14 tens

Allushta [10]

140
I hope this helps!:)

6 0

2 years ago

a plane flies 5.0km due north from a point O and then 6.0km on a bearing of 060° the pilot then changes course on a bearing of 1

Virty [35]

The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.

A plane that travels a distance $r$ , in kilometers, with a bearing of $\theta$ sexagesimal degrees can be represented in standard position by means of the following expression:

$\vec r = r\cdot (\sin\theta, \cos \theta)$ (1)

We can obtain the resulting vector ( $\vec R$ ) by the principle of superposition:

$\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})]$ (2)

If we know that $r_{1} = 5\,km$ , $\theta_{1} = 0^{\circ}$ , $r_{2} = 6\,km$ , $\theta_{2} = 60^{\circ}$ , $r_{3} = 4\,km$ and $\theta_{3} = 120^{\circ}$ , then the resulting vector is:

$\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})$

$\vec R = (5\sqrt{3}, 6) \,[km]$

The magnitude of the resultant is found by Pythagorean theorem:

$\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}$

And the bearing is determined by the following <em>inverse</em> trigonometric relationship:

$\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right)$ (3)

If we know that $R_{x} = 5\sqrt{3}\,km$ and $R_{y} = 6\,km$ , then the magnitude and the bearing of the resultant is:

$\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}$

$\|\vec R\| \approx 10.536\,km$

$\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)$

$\theta_{R} \approx 34.715^{\circ}$

The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.

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

6 0

2 years ago

Which is the equation of a line that passes through (1,8) and (6,4)

Sati [7]

Answer:

<em>y = - </em> $\frac{4}{5}$ <em> x + </em> $\frac{44}{5}$ <em> </em>

Step-by-step explanation:

(6, 4)

(1, 8)

m = $\frac{8-4}{1-6}$ = - $\frac{4}{5}$

y - 4 = - $\frac{4}{5}$ ( x - 6 )

<em>y = - </em> $\frac{4}{5}$ <em> x + </em> $\frac{44}{5}$ ⇔ y = - 0.8x + 8.8

8 0

2 years ago

156 is 60% of what number

Tanzania [10]

The answer is 93.6
156x .6 = 93.6

8 0

2 years ago

Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes two hours longer tha

oksano4ka [1.4K]

Juan's time = x
Yumi's time = x + 2
Yumi's distance = 3 miles
Juan's distance = 2 miles
Rate = distance/time
Juan's rate = 2/x
Yumi's rate = 3/(x + 2)
The rates are equal so:
2/x = 3/(x + 2)
2x + 4 = 3x
x = 4 hours
Yumi's time = 4 + 2 = 6 hours
The answer is D.

3 0

2 years ago

Read 2 more answers