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
insens350 [35]
3 years ago
14

A package is dropped from a helicopter that is moving upward at 20.0 m/s. If it takes 18.0s before the package strikes the groun

d, how high above the ground was the package when it was released? (UNITS)
Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer:

We have for velocity of package v= 20 - 9.8t and for distance from the ground y = h + 20t - 4.9t2.

We have y = 0 and t = 18.0 s we have h = 4.9·182 - 20·18 = 1227.6 m.

Velocity at landing v = 20 - 9.8·18 = - 156.4 m/s

You might be interested in
Question: is 1 &gt; 0.99999999...?<br>Prove algebraically.
Crazy boy [7]
No.  We claim that 1=0.\overline{9} and use algebra to prove the statement.

Let x=0.\overline{9}.  Multiply this by ten to get 10x=9.\overline{9}.  Subtract the initial equation to give 9x=9 and divide by 9 to see that x=1.  Substituting into the original equation gives 1=0.\overline{9}, proving the desired statement.
6 0
3 years ago
Brad bought a used bike for $8 more than half of its original price. Brad paid $40 for the bike. What was the original price?
Viefleur [7K]

\huge\boxed{\$64}

Start by writing a formula, where x is Brad's purchase price and y is the original price.

40=8+\frac{y}{2}

Subtract 8 from both sides.

32=\frac{y}{2}

Multiply both sides by 2.

\boxed{64}=y

7 0
3 years ago
Simplify: cos2x-cos4 all over sin2x + sin 4x
GrogVix [38]

Answer:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

Step-by-step explanation:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}

Apply formula:

\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right) and

\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)

We get:

=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}

=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}

=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}

=\frac{\sin\left(x\right)}{\cos\left(x\right)}

=\tan\left(x\right)

Hence final answer is

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

6 0
3 years ago
Choose the graph of the solution to this inequality.
Dmitriy789 [7]

Answer:

we can translate the given statement into-8 ≥ -5x + 2 > -38.

In this case, we can dissect the inequality into two parts:

-8 ≥ -5x + 2  and -5x + 2 > -38

Step-by-step explanation:

-8 ≥ -5x + 2 5x ≥ 10x ≥ 2 (closed dot)

-5x + 2 > -38 5x < 40x < 8 (open dot)

The answer then is c) number line with a closed dot on 2 and an open dot on 8 and shading in between

8 0
2 years ago
SISTEMA DE ECUACIONES
Zina [86]

4

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Is 40% less than or greater than 1/4
    8·1 answer
  • What is the rate of change for the set of ordered pairs?
    12·1 answer
  • 12 to 15 pls guys thx
    6·1 answer
  • Mr. Singh just left his house to go to work and has a meeting as soon as he arrives. The
    13·1 answer
  • Evan collected data about the amount of time each student in his math class spends studying. If the range of these data is 2, wh
    8·2 answers
  • Which of the following lines is perpendicular to y=-2x+3?
    6·1 answer
  • The sum of the areas of two circles is 80 square meters. Find the length of a radius of each circle if
    9·1 answer
  • Given x || y.
    5·1 answer
  • Can someone help me with this
    11·1 answer
  • Find the quotient. 514÷15 A. 720 B. 7834 C. 267 D. 314
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!