I wish I could explain how to do these, but I can recommend Math-way. You can type the equations in and it with simplify it for you. It will even show you the steps, but you have to pay fro that part, but at least it will give you the answer.

5 0

2 years ago

An arrow is shot vertically upward from a platform 20 ft high at a rate of 179ft / s * e When will the arrow hit the ground ? Us

MissTica

The height attained by the arrow is modelled as,

$h(t)=-16t^2-v_{\circ}t+h_{\circ}$

Given that the initial height is 20 ft and the initial velocity is 179 ft per second,

$\begin{gathered} v_{\circ}=179 \\ h_{\circ}=20 \end{gathered}$

Substitute the values,

$\begin{gathered} h(t)=-16t^2-(179)t+(20) \\ h(t)=-16t^2-179t+20 \end{gathered}$

When the arrow hits the ground its height will become zero,

$\begin{gathered} h(t)=0 \\ -16t^2-179t+20=0 \end{gathered}$

Applying the quadratic formula,

$\begin{gathered} t=\frac{-(-179)\pm\sqrt[]{(-179)^2-4(-16)(20)}}{2(-16)} \\ t=\frac{179\pm\sqrt[]{33321}}{-32} \\ t=\frac{179\pm182.54}{-32} \\ t=\frac{179+182.54}{-32},t=\frac{179-182.54}{-32} \\ t=-11.298,t=0.1106 \end{gathered}$

Since time cannot be negative, we have to neglect the negative value.

Thus, it can be concluded that the arrow will hit the ground after 0.1106 seconds approximately.

7 0

8 months ago

The corporate team-building event will cost $8 if it has 4 attendees. How many attendees can

sukhopar [10]

Answer: 22 attendees can attend the corporate team-building event, with a budget of $46.

1. 8 = 4x
2. 8/4 = 4x/4
3. x = 2, each ticket would cost $2 per attendee
4. $46/$2 = 23

8 0

3 years ago

Angle measurements in degrees ​

Angle measurements in degrees