Please help me with my assignment

Mathematics

1 answer:

Readme [11.4K]1 year ago

6 0

0.000565 - this is a simple standard form question (if the 10 is to the power of a negative number, the answer will always be extremely low!)

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Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for thi

EastWind [94]

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t. We are asked to find the vertex.

X-coordinate of vertex = $\frac{-b}{2a}$

Where 'a' is coefficient of $t^{2}$ term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex = $\frac{-80}{2(-16)}$

=-2.5

y-coordinate of vertex = $-16(-2.5)^{2} +80(-2.5)$

Simplify it,

=-100 -200

= -300

So, vertex is at (-2.5, -300).

4 0

3 years ago

I have no clue to what I even need to do.

Gre4nikov [31]

$\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \cline{1-1} \theta =\frac{3\pi }{2}\\ s=\frac{5\pi }{2} \end{cases}\implies \cfrac{5\pi }{2}=r\cdot \cfrac{3\pi }{2}$

$\bf \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{3~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{5~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=r\implies \cfrac{5}{3}=r$