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4 years ago

Sam's Hot Air Balloon Ride

Mathematics

1 answer:

sertanlavr [38]4 years ago

6 0

Dependent! The Hot Air Balloon relys on the wind and air and smoke and fire filling it..

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Consider the line given by the equation: 2x - y= -2

Klio2033 [76]

Answer:

Step-by-step explanation:

look at 2=x-y=2

move this term to the left (2)

it becomes 2=x-y+2=0

and thats your results

Examples: x^2-2x=-1, 3x-x-x+a-a=5, (x^2-1)/(x+1), 2x-(x+x)

7 0

3 years ago

Can anybody show me how to do this half angle identity problem STEP BY STEP? I always seem to be missing something

klio [65]

Answer: $\bold{-\dfrac{7\sqrt2}{10}}$

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

It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0). Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒ $cos\ \dfrac{\theta}{2}$

It is given that sin θ = $-\dfrac{7}{25}$ ⇒ y = -7 & hyp = 25

Use Pythagorean Theorem to find "x":

x² + y² = hyp²

x² + (-7)² = 25²

x² + 49 = 625

x² = 576

x = 24

Use the "x" and "hyp" values to find cos θ:

$cos\ \theta=\dfrac{x}{hyp}=\dfrac{24}{25}$

Lastly, input cos θ into the half angle formula:

$cos\bigg(\dfrac{\theta}{2}\bigg)=\pm \sqrt{\dfrac{1+cos\ \theta}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{1+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{25}{25}+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{49}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{49}{50}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\.\qquad \quad =\pm \dfrac{7\sqrt2}{10}$

Reminder: We previously determined that the half-angle will be negative.

6 0

3 years ago

PLSS HELP ASAP I WILL GIFE H BRAINLIEAST

valina [46]

Answer:

6 ft^2

Step-by-step explanation:

A=1/2 Base Height

A=1/2(3)(4)

A=6 ft^2

3 0

3 years ago

Find the slope of the line passing through the<br> points<br> (-9, 2) and (7, 2).

Alisiya [41]

Answer:

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

$\frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0$

I am joyous to assist you anytime.

3 0

3 years ago

Andrew must spend less than 53$ on meals during the weekend. he has already spent 21$ on meals costing 8$ average. how many addi

Shkiper50 [21]

Andrew can buy maximum 3 meals this weekend.

From given question,

Andrew must spend less than 53$ on meals during the weekend.

He has already spent 21$ on meals costing 8$ average.

Let x, the number of meals

So, we get an inequality,

8x + 21 < 53

We need to find the number of meals he can buy this weekend.

From above inequality,

⇒ 8x + 21 < 53

⇒ 8x < 53 - 21

⇒ 8x < 32

⇒ x < 4

This means, from 1 to 3 meals.

Therefore, Andrew can buy maximum 3 meals this weekend.

Learn more about an inequality here:

brainly.com/question/19003099

#SPJ4

3 0

2 years ago