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3 years ago

11

2. At an amusement park, 60% of the people were adults, and the rest were

1 answer:

Aneli [31]3 years ago

7 0

Answer:

Step-by-step explanation:

they had at least 989 people at the amusement park

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Please help! 30 points!

Rashid [163]

Answer: $64.2^{\circ}$

Step-by-step explanation:

According to the cosine rule

$\cos C=\dfrac{a^2+b^2-c^2}{2ab}$

Here, $a=83, b=111, c=165,\ C=180^{\circ}-\theta$

Putting values

$\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}$

So, the ship turns by $64.2^{\circ}$ north of west

8 0

3 years ago

What is the slope-intercept form of the equation of the line that contains the points (3, 8) and (6,5) ?

Rashid [163]

The answer is y=-1x +11

4 0

3 years ago

Find slope of the graph 9x-3y=15

LekaFEV [45]

<h3><u>Explanation</u></h3>

Convert the equation into slope-intercept form.

$y = mx + b$

where m = slope and b = y-intercept.

What we have to do is to make the y-term as the subject of equation.

$9x - 3y = 15 \\ 9x - 15 = 3y \\ \frac{9x - 15}{3} = y$

Simplify

$\frac{9x}{3} - \frac{15}{3} = y \\ 3x - 5 = y \\ y = 3x - 5$

From y = mx+b, the slope is 3.

<h3><u>Answer</u></h3>

$\large \boxed {slope = 3}$

4 0

3 years ago

Verify the identity. cos (x - y) - cos (x + y) = 2 sin x sin y

ra1l [238]

It is already in identity.
cos (x - y) - cos (x + y) = 2 sin(x) sin (y)

8 0

3 years ago

Plzzzzzzz help me I really need it I will pay

Katena32 [7]

5 degrees is your answer.

EQUATION: 24-19=5

7 0

3 years ago

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