Explain how you can find each decimal form in problem 4 using the<br> decimal form 1/20

A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off point. At a certain moment, the

Zigmanuir [339]

Answer:

Step-by-step explanation:

aThe person and the hot air balloon form a right triangle, with the lift-off point as the vertex that form the right angle. If you were to try to solve for the height of the balloon, you would need to use tangent to do so:

tanθ = opp/adj = y/x

y = xtanθ

What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):

dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

Just plug all the numbers in:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

dy/dt = 0 + 1.6

dy/dt = 1.6 mi/min

5 0

2 years ago

If 5x=10. What is the value of x

Charra [1.4K]

Answer: 2

Step-by-step explanation:

This should be right because 5 * 2 = 10

5x mean that 5 * x = 10

Hope this makes sense

4 0

3 years ago

Read 2 more answers

Another college precalculas question, please and thank you!

Ratling [72]

Answer:

B) (-∞,∞)

Step-by-step explanation:

The domain is the x-values, so it’s all real numbers in this graph.

I would use interval notation and choose B) (-∞,∞)

The range is the y-values, so it’s (2,-1), if that’s the next question.

5 0

3 years ago

Find the total capacity of 50 containers of orange juice if container holds 1 gallon 2 quarts 1 pint.

Scorpion4ik [409]

I think its 81 gallons 1 quart

7 0

4 years ago

Read 2 more answers

The number of people who attended a school's last six basketball games increased as the team neared the state sectional games. T

Thepotemich [5.8K]

The function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x - 783

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given data:

Game(x): 13 14 15 16 17 18

Attendance(y): 348 435 552 609 696 783

If plot these points on a coordinate plane, we will see these points will align in a straight line.

We know we can find a line equation with two points:

(13, 348) and (14, 435)

$\rm (y - 435) = \dfrac{435-348}{14-13}(x-14)$

y - 435 =87(x-14)

y = 87x - 783

Thus, the function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x - 783

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

7 0

2 years ago

Explain how you can find each decimal form in problem 4 using the decimal form 1/20