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
Dmitrij [34]
3 years ago
15

Help answer please!!

Mathematics
1 answer:
12345 [234]3 years ago
6 0

Answer:

h = 19.7 ft.

Step-by-step explanation:

Use the Pythagoras Theorem

(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\\\(20)^2=(3.5)^2+(h)^2\\400=12.25+h^2\\400-12.25=h^2\\387.75=h^2\\

Now we take square root on both sides,

\sqrt{387.75} =\sqrt{h^2}\\19.69=h\\h=19.7\ ft\\

so the value of h equals 19.7 ft.

You might be interested in
Ashley deposits $500 into an account that earns 2% interest compounded 3 times per year. How much money will Ashley have in her
Vadim26 [7]
A=p (1+r/k)^kt
A=500×(1+0.02÷3)^(3×4)
A=541.50
5 0
3 years ago
How do you compare 36.782 or 37.762
Ber [7]

Answer:

36.782 < 37.762

6 0
3 years ago
Help me please thanks.
kap26 [50]

Answer:

Step-by-step explanation:

4 0
3 years ago
Is -4 less than or greater than -6?
Aleks [24]

Answer:

-4 is greater then -6

Step-by-step explanation:

-4 is closer to 0

3 0
3 years ago
Read 2 more answers
Jean throws a ball with an initial velocity of 64 feet per second from a height of 3 feet. Write an equation and answer the ques
Korvikt [17]

Answer:

Step-by-step explanation:

From what I understand about parabolic motion in the English system, the equation for flight is

s(t)=-16t^2+v_{0}t+h_{0}

where v_{0}t is the initial upwards velocity and

h_{0} is the initial height from which the object was launched.  Filling in that equation with those values gives you

s(t)=-16t^2+64t+3.  That's a.

In order to determine how long it will take the ball (or rocket...the problem is mixing up the 2) to reach its max height you need to put the equation into vertex form, since the vertex of a parabola is the absolute max (or min depending upon the parabola) of the function.  The absolute max is the heighest that the ball will go.  Completing the square is the way to solve this.  Begin by setting the equation equal to 0, the moving the 3 over by subtraction:

-16t^2+64t=-3

Now factor out the -16 since the leading coefficient HAS to be a positive 1:

-16(t^2-4t)=-3

Now take half the linear term (half of 4t which is 2), square it (4) and add it into the parenthesis:

-16(t^2-4t+4)=-3

BUT since you added in a 4*-16 on the left you have to add it in on the right:

-16t^2(t^2-4t+4)=-3-64

which simplifies to

-16(t-2)^2=-67

Now bring the 67 over by addition and you have your vertex:

s(t)=-16(t-2)^2+67.

The vertex is (2, 67).  The 2 stands for time, so 2 seconds, and the 67 stands for feet, so at 2 seconds the max height is 67 feet.

How long it will be in the air is found by factoring to find the zeros.  These can be found by plugging the quadratic into the quadratic formula and getting that the zeros are -0.046 and 4.046

So the quadratic starts a tiny tiny bit to the left of the origin, but for all intents and purposes we can say it starts at the origin (x = 0) and ends at

x = 4.05 seconds.  Which makes sense if you know anything about parabolic motion and physics.  The vertex indicates not only the time and the max height at that time, it also is indicative of the halfway mark.  Meaning that if it takes 2 seconds to reach its max height, it will hit the ground at 4 seconds.  And 4.05 is close enought to 4 (but since you were told to round to the nearest hundredth, that .05 matters).  Sorry it's so long, but it's not a question that can be answered with just a few sentences.

5 0
3 years ago
Other questions:
  • Order the group of quadratic functions from widest to narrowest graph.
    6·2 answers
  • What must be true to define the measure of a distance of an arc between the points A and B on a circle? A unit of measure must b
    8·2 answers
  • Please help!!!! again
    15·1 answer
  • Help <br><br><br><br><br><br> I need answers
    11·1 answer
  • Help 50 points worth and do both questions
    13·1 answer
  • Plz help!
    14·1 answer
  • The quotient of k and 9 is greater than 1/3
    5·1 answer
  • What is the surface area of this shape?<br> 1 cm<br> 5 cm<br> 4 cm<br> 2 cm<br> 6 cm<br> 3 cm
    15·1 answer
  • find two positive consecutive odd intergers such that the square of the larger integer is one less than twice the square of the
    12·1 answer
  • each of the letters in the word calculator are on separate cards, face down on the table. if you pick a card at random, what is
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!