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Volgvan
2 years ago
9

PLSSSSSSS HEEELLPPP ASAP. quation

Mathematics
1 answer:
Gnoma [55]2 years ago
6 0

Answer:

7.) y=1/3x+3

Step-by-step explanation:

the slope is 1/3 and the y intercept is 3

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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
William had $500 in his bank account. He purchased textbooks for $285. He wants to spend the remaining amount of money on meals.
spin [16.1K]

Answer: 35 meals

Step-by-step explanation:

$500-$285=$215

$215/$6=35.8333333333

so, about 35 meals

6 0
3 years ago
Consider the following system of equations given in slope-intercept form. y=-3x+17 y = 5x - 23 Use the graphing calculator to de
Slav-nsk [51]

Answer:

Consider the following system of equations given in slope-intercept form.

y = −1

3

x + 17,

y = 5x - 23

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Ratios and Proportions
irina1246 [14]
An example of a ratio would be:
1:2
3:4
5:6

An example of a proportion would be:
1/2
3/4
5/6

Hope this helps!

4 0
3 years ago
Read 2 more answers
Suppose a regular n-gon is inscribed in a circle of radius r. Diagrams are shown for n=6, n=8, and n = 12. n = 6 n=8 n = 12 a a
m_a_m_a [10]

Answer:If an N-gon (polygon with N sides) has perimeter P, then each of the  

N sides has length P/N.  If we connect two adjacent vertices to the  

center, the angle between these two lines is 360/N degrees, or 2*pi/N  

radians.  (Do you understand radian measure well enough to follow me  

this far?)

The two lines I just drew, plus the side of the polygon between them,  

form an isosceles triangle.  Adding the altitude of the isosceles  

triangle makes two right triangles, and we can use one of them to  

derive the equation

 sin(theta/2) =  s/(2R)

where theta is the apex angle (which I said is 2*pi/N radians), R is  

the length of the lines to the center (the radius of the circumscribed  

circle), and s is the length of the side (which I said is P/N).

Putting those values into the equation, we have

 sin(pi/N) = P/(2NR)

so that

 P = 2NR sin(pi/N)

gives the perimeter of the N-gon with circumradius R.

Can we see a connection between this formula and the perimeter of a  

circle?  The perimeter of the circumcircle is 2*pi*R.  As we increase  

N, the perimeter of the polygon should get closer and closer to this  

value.  Comparing the two, we see

 2NR*sin(pi/N) approaches 2*pi*R

 N*sin(pi/N)   approaches pi

You can check this out with a calculator, using big numbers for N such  

as your teacher's N=1000.  If you calculate the sine of an angle in  

degrees rather than radians, the formula will look like

 N*sin(180/N) --> pi

Step-by-step explanation:

6 0
3 years ago
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