All categories

3 years ago

a hot air balloon goes 350 feet into the air and drifts east 600 feet how far id the balloon from the launch point

Mathematics

1 answer:

Citrus2011 [14]3 years ago

7 0

If you imagine it like the picture below, you could use the pythagorean theorem to solve for x

You might be interested in

F(x)= 3x +15 reflect over the X axis what is the y intercept

Alona [7]

Answer:

y is 15 x is 3

Step-by-step explanation:

4 0

2 years ago

Determine the kinetic energy of 8000 Newton’s roller coaster car that is moving with a speed of 20.0 meters/seconds

ohaa [14]

Answer:

The kinetic energy of the roller coaster is 1600000 J.

Step-by-step explanation:

Given:

Mass of the roller coaster is 8000 Newton's and speed 20.0 meters/seconds.

Now, we need to find the kinetic energy $E_{k}$ of the roller coaster.

So, Mass of roller coaster (m) = 8000 N.

Velocity of roller coaster (v) = 20.0 m/s.

Now, putting the formula of kinetic energy:

$E_{k} = \frac{1}{2}\times m\times v^{2}$

$E_{k}=\frac{1}{2} \times 8000\times 20^{2}$

$E_{k}=\frac{1}{2} \times 8000\times 400$

$E_{k}=\frac{1}{2} \times 3200000$

$E_{k}=1600000$

Therefore, the kinetic energy of the roller coaster is 1600000 J.

3 0

3 years ago

Maxwell’s vegetarian tacos requires 3/4 tablespoon of chili powder for every 1/2 pound of vegetables. How much chili powder will

Zina [86]

Answer:

1 1/8 or 9/8

Step-by-step explanation:

Set up a proportion. The proportion will be teaspoons of chili powder over pound of vegetables.

The first proportion will be..

$\frac{x}{y}$ x is 3/4 and y is 1/2. Across from that proportion make another one

$\frac{x}{y}$ x is "n" because you're trying to figure out how much chili powder you need. y is 1 3/4.

Multiply 3/4 and 1 3/4, which is 9/16. Then, divide 9/16 and 1/2, which is 9/8. Simplify it to 1 1/8, and Maxwell will need 1 1/8 teaspoons of chili powder.

Hope this wasn't too confusing :)

3 0

3 years ago

Read 2 more answers

Find the parabola with equation y = ax^2 + bx whose tangent line at (2, 4) has equation y = 8x − 12.

MrRissso [65]

$\bf y=ax^2+bx\implies \cfrac{dy}{dx}=2ax+b$

now, we know the tangent line at (2,4) is y = 8x - 12, now, that's already in slope-intercept form, so, the slope of that tangent at (2,4) is "8" then.

now, that means when x = 2, the slope is 8, so let's use that.

$\bf \left. \cfrac{dy}{dx} \right|_{x=2}\implies 2a(2)+b=\stackrel{\textit{from tangent equation}}{8}\implies 4a+b=8
\\\\\\
4a=8-b\implies a=\cfrac{8-b}{4}\implies \boxed{a=2-\cfrac{b}{4}}\\\\
-------------------------------\\\\
\begin{cases}
x=2\\
y=4\\\\
a=2-\cfrac{b}{4}
\end{cases}\implies \stackrel{y = ax^2+bx}{4=\left( \boxed{2-\frac{b}{4}} \right)(2)^2+b(2)}\implies 4=8-b+2b
\\\\\\
\boxed{-4=b}\qquad thus\qquad a=2-\cfrac{-4}{4}\implies \boxed{a=3}\\\\
-------------------------------\\\\
y=3x^2-4x$

5 0

2 years ago

2-3(x+4)= 8 solve for each variable

trasher [3.6K]

Answer: $\Large\boxed{x=-6}$

Step-by-step explanation:

Given equation

2 - 3(x + 4) = 8

Subtract 2 on both sides

2 - 3(x + 4) - 2 = 8 - 2

-3(x + 4) = 6

Divide -3 on both sides

-3(x + 4) / -3 = 6 / -3

x + 4 = -2

Subtract 4 on both sides

x + 4 - 4 = -2 - 4

$\Large\boxed{x=-6}$

Hope this helps!! :)

Please let me know if you have any questions

6 0

1 year ago