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NeTakaya
3 years ago
13

The equation h(t)= -16t^2+864t models the path of a rocket shot into the air. After how many seconds does the rocket hit the gro

und?
Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Answer:

t = 54 seconds

Step-by-step explanation:

The equation that models the path of a rocket into the air is given by :

h(t)= -16t^2+864t

It is required to find the time after which the rocket will hit the ground. When it hits the ground, the height of the rocket will becomes zero. It means,

h(t) = 0

i.e.

-16t^2+864t=0\\\\16t(-t+54)=0\\\\16t=0, -t+54=0\\\\t=0\ and\ t=54\ s

It means after 54 seconds, the rocket will hit the ground.

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Aimee is in charge of buying tickets for a trip to the movies. She can buy tickets at the theater or online. At the theater, 8 t
inessss [21]

Answer:

Aimee can save $24 by buying tickets at the lower price that is at the theater.

Step-by-step explanation:

First, you need to find the amount she would spent by buying tickets at the theater and online by using a rule of three:

Theater:

60→8

x  ←24

x=(60*24)/8=180

Online:

51→6

x ←24

x=(51*24)/6=204

Now, you need to calculate the difference:

$204-$180=$24

According to this, the answer is that Aimee can save $24 by buying tickets at the lower price that is at the theater.

3 0
3 years ago
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another eq
Alex Ar [27]

Answer:

  90 inches

Step-by-step explanation:

The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...

  (3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches

5 0
3 years ago
30 POINTS PLEASE HELP
Triss [41]

Answer:

c. paying a price to keep Mowgli alive

Step-by-step explanation:

" 'Listen to Bagheera. The cub can be bought for a price. it is the law' ..."

8 0
3 years ago
An isosceles triangle with angles b and c having the same measure is shown. Find the measure of each angle whose degree measure
Anton [14]

Answer:

A = 114°, B = C = 33°

Step-by-step explanation:

The triangle relationships let you write two equations:

A+B+C = 180

B=C

Substituting the expressions for A, B, and C, you have ...

(x+7y+41) +(2y+13) +(6x+15) = 180

7x +9y +69 = 180

7x +9y = 111

And the second equation gives ...

(2y+13) = (6x+15)

6x -2y =-2

3x -y = -1

Now, we can add 9 times this second equation to the first to eliminate the y-variable.

(7x +9y) +9(3x -y) = (111) +9(-1)

34x = 102

x = 3

Then the angle measures are ..

B = C = 6·3+15 = 33

A = 180 -2·33 = 114

The angles in the triangle are (A, B, C) = (114°, 33°, 33°).

8 0
3 years ago
HOW TO SOLVE SLOPE WITHOUT POINTS?
Aloiza [94]

Answer:

Count the boxes from one definite point to another.  The slope for this is -1/4

Step-by-step explanation:

3 0
3 years ago
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