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
Degger [83]
2 years ago
8

An arrow is shot vertically upward at a rate of 280 feet per second. Use the projectile formula

Mathematics
1 answer:
vfiekz [6]2 years ago
4 0

Time is 16.75 seconds when the arrow reaches 200 ft

Step-by-step explanation:

  • Step 1: Find time at height of 200 ft

Height = 200 ft

v = 280 ft/s

Projectile formula, h = -16t² + vt

⇒ 200 = -16t² + 280t

⇒ 16t² - 280t + 200 = 0

⇒ 2t² - 35t + 25 = 0 (dividing by common factor 8)

Using quadratic formula to find t

t = (35 ±√35² - 4×2×25)/2×2

t = (35 ±√1225 - 200)4 = 35 ± 32.02/4

∴ t = 67/4 or 3/4  

t = 16.75 seconds

You might be interested in
The sail on a souvenir boat is similar in shape to the sail on a sailboat. The sail on the sailboat is in the shape of a right t
Triss [41]

Answer:

1 1/8 inches.

Step-by-step explanation:

As the sails are similar,  corresponding sides are in the same ratio, so we have the equation

:24/3 = 9/b     where  b = base of the souvenir boat.

Cross multiply:

24b = 9*3

b = 27/24

= 1 1/8 inches.

3 0
3 years ago
c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e
castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

A=Pe^{rt}, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A=  $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428

Taking natural log on both the sides , we get

15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%

Hence, the annual interest rate = 13.29%

6 0
3 years ago
Sophie and Marcos are each saving for new bicycles. So far, Sophie has $6 saved and can earn $5 per hour walking dogs. Marcos ha
SpyIntel [72]
6+5=11+5=16+5=21
3+6=9+6=15+6=21
It will take Marco and Sophie 3 hours to get the same amount of money. The amount of money they will have will be $21.
8 0
2 years ago
What is the slope? <br><br><br> WILL MARK BRAINLIEST!! !! <br> (picture included ^^^^)
ryzh [129]

Answer:

answer 3

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
How to find R of a cone?
bonufazy [111]
Multiply the volume by 3.
Multiply the height by π, which is a numeric constant that begins 3.14 and never terminates.
<span>Divide the tripled volume by the product of the height and π.
</span><span>Find the square root of the result from the 3rd step
</span>
hope this helped:)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Uma wants to buy a video game system for $400. She has $50 and is saving $25 each week. Solve the equation 25w + 50 = 400 to fin
    8·2 answers
  • Historically, the mean yield of corn in the United States has been 120 bushels per acre with a standard deviation of 12. A surve
    8·1 answer
  • Find Domain and Range.<br>Plz explain!
    8·1 answer
  • Can you please help with rate please help filling in the missing box
    11·1 answer
  • HELLPPPP PLEASE QUICKK ASAP
    10·1 answer
  • What are the factors of 8 that add up to 6?
    14·2 answers
  • The height of a right cylinder is r , where r is the radius. Write a function f in simplest form that represents the ratio of th
    6·1 answer
  • In circle A, marc BC is 67° and marc EF is 74°:
    5·2 answers
  • My guys do you thing I am giving brainliest
    8·1 answer
  • 2. Write a function of the geometric sequence with a starting term of 10 and a common ratio of 4. Find the fourth term.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!