1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dima020 [189]
3 years ago
5

A projectile is launched at a height of h feet above the ground at an angle of θ with the horizontal. The initial velocity is v0

feet per second, and the path of the projectile is modeled by the parametric equations
x=(v0cosθ)t and y=h+(v0sinθ)t-16t^2
Write the parametric equations to model the path of a projectile launched from ground level (h = 0) at the given values of θ and v0. Use your equations to answer the following questions.

θ=40∘ , v0=128 feet per second
Determine the maximum height
Give the time the object reaches this height (to one decimal place).
Give the approximate horizontal distance the objects is at this point (to one decimal place).
Determine the time the object will hit the ground after it is launched (to one decimal place).
Mathematics
1 answer:
Nataliya [291]3 years ago
8 0

Answer:

Simple

Step-by-step explanation:

You Quit The Class

You might be interested in
A spherical hot-air balloon has a diameter of 55 feet. When the balloon is inflated, the radius increases at a rate of 1.5 feet
abruzzese [7]

Answer:

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume is approximately 46.90 minutes

Step-by-step explanation:

The given parameters are;

The diameter of  the balloon  = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet per minute

We have;

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon = 4/3 × 3.14 × 55³ = 696556.67 ft³

When the volume is two-thirds the maximum volume, we have;

2/3 × 696556.67 ft³ = 464371.11 ft³

The value of the radius, r₂ at that point is found as follows;

4/3·π·r₂³ = 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4 = 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the above length ≈ 70.369 ft/(1.5 ft/min) ≈ 46.90 minutes

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume ≈ 46.90 minutes.

4 0
3 years ago
Help please explain as simple as possible
Virty [35]
Short answer: (-8)^2 + 8  x  -8 = 0

Use PEMDAS

"Evaluate the expression" just means solve until you can't simplify anymore. You must solve it in a certain order according to PEMDAS: Parentheses, Exponents, Multiply, Divide, Add, Subtract.

What does the beginning of the expression look like? It is (-8)^{2}.

According to PEMDAS, you must solve what is in the parentheses *first*. But, since there is only a number (-8), there is nothing to solve for and you can move on to exponents.

The squared symbol, the little 2, means you have to square what is *inside* the parentheses. (-8)^{2} = 64, because -8 times itself is 64.

Next comes multiplication. Remember, we are not working from left to right. We must multiply the values on the far right before we do any adding, because multiplication comes *before* addition.

(64) + (8 times -8)

(64) + (-64)

Finally, we can add. In this case, because we are adding a negative number, we are really subtracting. 64 + -64 equals 0.
8 0
4 years ago
Please, help me on this question, guys! I know the answer for (a) so I'll write down, too. For (b) I tried "$89,000 because that
Alexeev081 [22]
Let x be a random variable representing the price of a Congo-imported black diamond. Let the higher price be p. Then,
P(x < p) = P(x < (p - mean)/sd) = P(x < (p - 60,430)/21,958.08) = P(z < 2)
Therefore,
(p - 60,430)/21,958.08 = 2
p - 60,430 = 2 x 21,958.08 = 43,916.16
p = 34,916.16 + 60,430 = 104.346.16

Therefore, The required price is $104,346.16
7 0
3 years ago
Questão 02 - Carlos e sua mãe têm juntos atualmente 47 anos. Sabendo que sua mãe ganhou Carlos aos 23 anos, a equação que repres
mariarad [96]

Answer:

x+23 = 47

Step-by-step explanation:

Let age of Carlos is x. It is mentioned that the sum of age of Carlos and his mother is 47 years old. Age of Carlos is 23.

We need to find the equation that represents the sum of Carlos' age with his mother.

x+23 = 47 is the required equation.

Also, we can find the age of Carlos as :

x = 47 - 23

= 24 years

Hence, the correct option is (B).

8 0
3 years ago
372 picoseconds equal to how many femoseconds
Vlad1618 [11]

Answer:

372,000 femtoseconds

Step-by-step explanation:

<u>1 picoseconds = 1000 femtoseconds</u>

372 picoseconds = 1000 * 372 femtoseconds

1000 * 372

372,000

Answer:  372,000 femtoseconds

5 0
3 years ago
Other questions:
  • A gym charges a $25 sign-up fee plus $25 per month. You have a $200 gift card for the gym. When
    8·1 answer
  • Simplify sqrt 363 -3 sqrt 27
    12·1 answer
  • HELPPP PLEASE!!!! SHOW ALL WORK!!!
    5·2 answers
  • Which of the following financial conflict of interest information must be made available by institutions on a public website or
    8·1 answer
  • Question 17 NEED THIS ANSWERED ASAP!
    12·2 answers
  • Ricing &amp; Sales Math Quiz
    8·1 answer
  • Molly now blends 6 ml of blue paint with 5 ml of white paint. She decides that she likes this color and wants to make more. If s
    9·1 answer
  • Helppppppp oof this is not what i want to do right bought now so please help
    8·1 answer
  • In ΔABC, m∠A = 2m∠B and m∠B = 3m∠C.<br> What is m∠C?
    12·1 answer
  • What is the area of a circular pizza with a radius of 9 cm? b. 28.3c * m ^ 2 od. 1017.9c * m ^ 2 c. 254.5c * m ^ 2 a. 56.5c * m
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!