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
Rufina [12.5K]
3 years ago
9

A gymnast dismounts the uneven parallel bars. Her height, h, depends on the time, t, that she is in the air h = −162 + 24t + 16.

How long will it take the gymnast to reach the ground?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0
That is when h=0
so assuming yo meant
h(t)=-16t²+24t+16
solve for t such that h(t)=0
because when height=0, the gymnast hits the ground

so
0=-16t²+24t+16
using math (imma complete the square
0=-16(t²-3/2t)+16
0=-16(t²-3/2t+9/16-9/16)+16
0=-16((t-3/4)²-9/16)+16
0=-16(t-3/4)²+9+16
0=-16(t-3/4)²+25
-25=-16(t-3/4)²
25/16=(t-3/4)²
sqrt both sides
+/-5/4=t-3/4
3/4+/-5/4=t
if we do plus (because minus would give us negative height)
8/4=t
2=t
it takes 2 seconds
You might be interested in
The left and right page numbers of an open book are two consecutive integers whose sum is 195
marusya05 [52]

Answer:

97, 98

Step-by-step explanation:

a = first number

a + 1 = consecutive number

then:

a + a+1 = 195

2a + 1 = 195

2a = 195 - 1

2a = 194

a = 194/2

a = 97

a + 1 = 98

Check:

97 + 98 = 195

8 0
2 years ago
Consider the following data set:<br> 11, 6, -2, -4 -5, 0, 8, 15<br> ,<br> Find the median.
s2008m [1.1K]

\bold{ANSWER:}
Median —> 3

\bold{SOLUTION:}

7 0
2 years ago
You have $20 saved and you earn $11.00 an hour working part time at a dry cleaner. You want to go to a concert this summer and t
klio [65]

Answer:

C

Step-by-step explanation:

you would start your graph at $20.

you would than create a graph that goes up hourly

with the money amount increasing every hour

6 0
3 years ago
Read 2 more answers
Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7
Lapatulllka [165]

The first equation is y-2x+1=0

y=2x-1 (Equation 1)

The second equation is 4x^{2}+3y^{2}-2xy=7 (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

4x^{2}+3(2x-1)^{2}-2x(2x-1)=7

4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7

by simplifying the given equation,

12x^{2}-10x-4=0

6x^{2}-5x-2=0

Using discriminant formula,

D=b^{2}-4ac

D=25-4 \times 6 \times -2 = 73

Now the formula for solution 'x' of quadratic equation is given by:

x=\frac{-b+\sqrt{D}}{2a}  and  x=\frac{-b-\sqrt{D}}{2a}

x=\frac{5+\sqrt{73}}{12}  and x=\frac{5-\sqrt{73}}{12}

Hence, these are the required solutions.

8 0
3 years ago
A right triangle has one side that measures 4in. The angle opposite that side measures 80 degrees. What is the length of the hyp
Crazy boy [7]

Hello from MrBillDoesMath!

Answer:

4/sin(80)

which is approximately 4.06



Discussion:

From the triangle, not drawn too accurately  (see attachment)


sin(80) = side opposite /hypotenuse   =>

sin (80) =  4/c            =>       multiply both sides by "c"

c sin(80) = 4/c * c      =>      

c sin(80) = 4               =>      divide both sides by sin(80)

c = 4/sin(80)

and 4/sin(80) is approximately 4.06


Thank you,

MrB

6 0
3 years ago
Other questions:
  • In △BCD, BP=15 cm. What the length of BX¯¯¯¯¯¯ ? Enter your answer in the box. __cm
    11·1 answer
  • The perpendicular bisector of side ab of ∆abc intersects the extension of side ac at
    12·1 answer
  • For each point on the unit circle, select the angle that corresponds to it.
    6·1 answer
  • What is the radius of a circle with a circumference 13ft
    8·1 answer
  • 12x+24y how do I do this?
    10·1 answer
  • (-18)+(-7)+25 my answer was 36 but i just want to confirm
    15·1 answer
  • Find the length of the third side. If necessary, round to the nearest tenth.<br> 1<br> 20<br> 10
    6·2 answers
  • Need help with this math problem.
    11·1 answer
  • If your Science class eats 168 slices of<br> pizza in 4 hours, how many slices is<br> that per hour?
    9·2 answers
  • How do you do this then? (higher tier maths GCSE)​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!