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
zzz [600]
2 years ago
7

A rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The roc

ket's height above the surface of the lake is given by g(x)= -16x² + 72x + 80. How long will it take to hit the ground?
Mathematics
1 answer:
KonstantinChe [14]2 years ago
4 0

Step-by-step explanation:

g(x)= -16x² + 72x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 72(2) + 80

-16(4)+128+80

-72+128+80

= 136

You might be interested in
Ross needs to have a procedure done. Because he is over 65, he is on medicare. Their plan says that according to their plan thei
artcher [175]
300=(1/6*7/8)x
300=7/48x
300*48=7x
14400=7x
2057=x

So the answer is B

Hope this helps :)
4 0
3 years ago
Read 2 more answers
If invisible braces cost $500 more than metal braces. Metal braces cost $4,800. How much do invisible braces cost?
Gnesinka [82]
Invisible braces would cost 5300. I think that’s it. Hope that helped
4 0
3 years ago
Read 2 more answers
Sally had 7 stars and eric had 186 stars .he gave 27 to sally how many does he have left?
Ilya [14]
To solve this you can use subtraction
186-27=159 (for the amount Eric gave away)
So Eric has 159 stars left!
Hope this helped!!
3 0
2 years ago
Read 2 more answers
What is the value of 9p5?
ICE Princess25 [194]
9.5 is correct (:(:(:
6 0
3 years ago
Can some show the steps and the answer please I really need help tell me how you get it and the answer
Lana71 [14]

Answer:

Step-by-step explanation:

so this is about triangles..  sooo the following is a bit of helpful reminders that I keep on my computer to help me remember how to fit the trig functions to triangles..  I strongly suggest you copy it and keep it where you can look at it often.

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

I use this anytime I run into triangles or need some help with sin or cos

now the problem , 3 ladder  10, 12, & 15 feet.   Alex wants to get to 8 feet.

the problems is also telling you that   you can use   t.....   and then , the words are cut off.. but I know they were going to say   Tan ... next.. :P

b/c Tan is how you figure out problems with the adjacent side and the opposite side.  like this problem.    Look at  TOA  above.  use that to recall how the parts fit in the formula

Tan(∅) = Opp / Adj

they give us the Opp side of 8 feet in the problem

then they also tell us the Hyp of the triangle which is each of the ladders length.  Then they ask us what is the Adj sides length?

So we also need to solve the triangle with the know hyp  (ladder length).. uggg, this problem is long. Then we can solve the dist. from the wall or Adj side length.

it's two steps, if you want to think of it that way.   You're supposed to be pretty confident with trig functions.   I'm guessing this is a trig class.. right?

let's solve for the 3 different angles that the ladders make , each going to 8 feel.  Obviously, nobody would really do this with a ladder they would just lean it against the wall . and if it's taller than where they want to climb, they would just go up part way.   so anyway,     find the 3 different angles.  

look above to see which formula to use.

I like SOH b/c it seems to have all the pieces of the triangle we want to work with.

ladder 1  ( 10')

Sin(∅) = Opp / Hyp

Sin(∅) = 8 / 10

∅ = arcSin (4/5)

[ first, yes, I just reduced the fraction, then I did the arcSin on both sides, I think you might know how to do that already ? ]

∅ = 53.13010 °

( yes, I used my calculator to find that,  calculators are okay to use when figuring out non standard angles )

ladder 2 (12')

Sin(∅) = 8/12

∅ = arcSin (2/3)

∅ = 41.81031°

ladder 3 (15')

Sin(∅) = 8/15

∅ = arcSin (8/15)

∅ = 32.230952°

now use our Tan function to find the Adjacent side which is the distance from the wall

Tan(∅)= Opp / Adj

Adj = Opp / Tan(∅)

( I did some quick algebra to move the side we want to solve for, now plug and chug all 3 angles  )

ladder 1

Adj = 8 / Tan(53.13010)

Adj = 6.0000005    

ladder 2

Adj = 8 / Tan(41.81031)

Adj = 8.94427

ladder 3

Adj = 8 / Tan(32.230952)

Adj = 12.688577

so the 10' ladder is 6 feet from the wall

the 12' ladder is 8.9 feet from the wall

the 15 foot ladder is 12.7 feet from the wall.

I really don't think that 15' ladder is going to stay on the wall.. if Alex climbs it... it's way way too far out... it will just fall straight down the wall  :/   Maybe another math problem for the forces involved  :P

5 0
2 years ago
Other questions:
  • Lila decided to make more baked goods for the bake sale she used 1/8 lb less flour to make the bread then to make the cookies. S
    12·1 answer
  • Help please, thanks.
    14·2 answers
  • For a normal distribution, a positive value of z indicates that _______.
    10·1 answer
  • The value of zlatan's house has increased by 7%. His house is now valued at £749000 work out the value of the house before the i
    8·1 answer
  • A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years
    9·1 answer
  • If f(x) =x-1, what is f(9)
    5·1 answer
  • Identify the domain of the exponential function shown in the following graph:
    8·2 answers
  • Sally collects stamps. Of all her stamps,
    6·2 answers
  • Write an equation of the line in slope-intercept form.<br><br> HELLLLPPP:((
    13·1 answer
  • Solve the following questions: a. 17 x 10 = b. 24 x 100 = c. 6 x 1000 =
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!