A skydiver weighing 160 lb (including equipment) falls vertically downward from an altitude of 20,000 ft and opens the parachute after 18 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.7|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity vis measured in ft/s. Assume that acceleration due to gravity has magnitude 32 ft/s; remember that weight is the product of mass and gravitational acceleration.Required:
a. Find the speed of the skydiver when the parachute opens.
b. Find the distance fallen before the parachute opens.
c. What is the limiting velocity vL after the parachute opens?
d. Determine how long the sky diver is in the air after the parachute opens.
e. Plot the graph of velocity versus time from the beginning of the fall until the sky diver reaches the ground.

Answers

Answer 1

Answer: I found that the seeds are being big

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Multiply the problem,

Line RS is tangent to circle Q at point R.What is the measure of ∠SQR ?

Enter your answer in the box.

Answers

Using the tangent and radius theorem, the measure of ∠SQR is 58°.

What is Circle Geometry??

From the question, we are to determine the measure of ∠SQR

In the given diagram, QR is a radius

By the tangent and radius theorem,

If a tangent and a radius meet at the point of tangency, then they are perpendicular to one another

∴ ∠QRS = 90°

∠SQR + ∠RSQ + ∠QRS = 180° (Sum of angles in a triangle)

∠SQR + 32° + 90° = 180°

∠SQR + 122° = 180°

∠SQR = 180° - 122°

∠SQR = 58°

Hence, the measure of ∠SQR is 58°.

Learn more on Circle geometry here: brainly.com/question/21872415

#SPJ 2

If the line RS is tangent to the circle, then it is at a 90 degree angle to the circle at the point of contact.

Now that we know 2 angles, we can find the 3rd:

180 - 90 - 32 = 58

What adds to get 12 and multiply to 45

Answers

the answer is 3 and 15

3! Because:

3 + 3 + 3 + 3 = 12
and
3 x 15 = 45

a container was 1/2 filled with water. When 200 ml of water was poured out, it became 1/3 full. Find the capacity of the container in milliliters.

Answers

x=whole capacity
(x/2)=original amount
orginal amount-200=x/3
so
(x/2)-200=x/3
subtract x/2 from both sides
-200=(x/3)-(x/2)
make denomenators same
x/3 times 2/2=2x/6
x/2 tiimes 3/3=3x/6
now we have
-200=2x/6-3x/6
-200=-x/6
multiply both sides by 6
-1200=-x
multiply -1
1200=x

capacity is 1200 ml

Simplify the following expression. 4a^-2b

A.) b/4a^2
B.)4b/a^2
C.)1/4a^b2

Answers

ANSWER

The correct answer is B

$\frac{4b}{ {a}^(2) }$

EXPLANATION

The given exponential expression is

$4 {a}^( - 2) b$

We can rewrite this as,

$4b * {a}^( - 2)$

We need to simplify to obtain a positive index, so we apply the following property,

${a}^( - m) = \frac{1}{ {a}^(m) }$

This implies that,

$4b * {a}^( - 2) = 4b * \frac{1}{ {a}^(2) }$

This will finally simplify to,

$4b * {a}^( - 2) =\frac{4b}{ {a}^(2) }$

Therefore the correct answer is B

Answer:

B.)4b/a^2

Step-by-step explanation:

Solve by factoring completely, Please show steps
Thanks!

X^2=4x+12

Answers

steps are shown in the picture above

minus 4x+12 both sides
x^2-4x-12=0
what multipies to -12 and add to -4
-6 and 2
(x-6)(x+2)=0
set to zero
x-6=0
x=6

x+2=0
x=-2

x=-2 and 6

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