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2 years ago

Please help, i seriously don't understand how to solve this ;_;

Mathematics

1 answer:

IgorLugansk [536]2 years ago

3 0

Answer:

Step-by-step explanation:

thats correct i think

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a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.

satela [25.4K]

Answer:

$t=2.47\ s$

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

$h(t) = h_0 + s_0t -16t ^ 2$

Where $h_0$ is the initial height, $s_0$ is the initial velocity and t is the time in seconds.

We know that the initial height is:

$h_0 = 4.5\ ft$

The initial speed is:

$s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s$

So the equation is:

$h (t) = 4.5 + 37.62t -16t ^ 2$

The ball hits the ground when when $h(t) = 0$

$4.5 + 37.62t -16t ^ 2 = 0$

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

$at^2 +bt + c$

The quadratic formula is:

$t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}$

In this case

$a= -16\\\\b=37.62\\\\c=4.5$

Therefore

$t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}$

$t_1=-0.114\ s\\\\t_2=2.47\ s$

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0

3 years ago

Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, fi

Vikentia [17]

Answer:

D is the contrapositive.

Step-by-step explanation:

Contrapositive of if A then B is if not B then not A

3 0

2 years ago

Read 2 more answers

W Given that m + 3n: m +9n 2:5. Write an equation in terms of m and n m=

alexira [117]

Answer:

m=1.5

Step-by-step explanation:

simultaneously

3m+9n=6

- m+9n=3

2m=3

m=1.5

3 0

3 years ago

Jared buys 2.4 pounds of broccoli for $3.24. Which epuation could Jared use to find c, the cost of each pound of broccoli

sergey [27]

Answer:

the one with 2.4c = 3.24

Step-by-step explanation:

hope this helps

5 0

2 years ago

12. Write the equation of a parabola with vertex at (2, -3) and focus at (2,5),

Tatiana [17]

Step-by-step explanation:

The basic form of equation:

(x-h)²=4a(y-k),

(h,k)=coordinates of vertex

(h, k+a) = coordinate of focus

For given parabola:

axis of symmetry: x=2

(h, k) =(2,-3)

(h, k+a)=(2,5)

k+a=5

-3+a=5

a=8(distance from vertex to focus on the axis of symmetry)

equation: (x-2)²=4×8(y+3)

(x-2)²= 32(y+3)

7 0

3 years ago