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3 years ago

A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.

1 answer:

4 0

A ball is at it maximum height when its velocity is zero. y = 4+30t - 16t^2 is the formula, where
V = V(0) -32t
0 = 30- 32t
t = 15/16 seconds when its velocity is zero.
It is not at its maximum height but is falling.

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Eleanor is 12 years younger than mabel. Mabel is 6 years older than izzy. Izzy is twice as old as Patrick. Patrick is 5 years ol

Likurg_2 [28]

Answer:

Step-by-step explanation:

E = M - 12

M = 6 + I

I = P x 2

P = 5

I = 10

M = 16

E = 4

6 0

3 years ago

Trigonometric Identities and Applications? help

Vadim26 [7]

$\bf h=-15cos\left( \frac{2\pi }{5}t \right)\qquad \boxed{h=8}\qquad 8=-15cos\left( \frac{2\pi }{5}t \right)
\\\\\\
\cfrac{8}{-15}=cos\left( \frac{2\pi }{5}t \right)\implies cos^{-1}\left( \frac{8}{-15}\right)=cos^{-1}\left[ cos\left( \frac{2\pi }{5}t \right) \right]
\\\\\\
cos^{-1}\left( \frac{8}{-15}\right)=\cfrac{2\pi }{5}t\implies \cfrac{5}{2\pi }\cdot cos^{-1}\left( \frac{8}{-15}\right)=t\\\\
-------------------------------$

$\bf cos^{-1}\left( \frac{8}{-15}\right)=\stackrel{radians}{\stackrel{II~quadrant}{\approx 2.13}~~,~~\stackrel{III~quadrant}{\approx 4.15}}\qquad \qquad 
t=
\begin{cases}
\frac{5}{2\pi }\cdot 2.13\\\\
\frac{5}{2\pi }\cdot 4.15
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3 0

3 years ago

Mark cast a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If mark is 6 feet t

Trava [24]

Answer:

30 ft

Step-by-step explanation:

We can use the given information to set up a ratio...

$\frac{Mark's\ height}{Mark's\ shadow}=\frac{Tree's\ height}{Tree's\ shadow}$

$\frac{6\ ft}{4\ ft}=\frac{x}{20\ ft}$

We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):

120 = 4x

Divide both sides by 4

x=30 ft

5 0

2 years ago

-11=(x-3)÷2 what is the solution for x

e-lub [12.9K]

Answer:

-19

Step-by-step explanation:

~ Distribute:

- 11 = 1 / 2 x + -3 / 2

~ Flip the equation:

1 / 2 x + -3 / 2 = -11

~ Use transposition method:

(take -3 / 2 to the other side)

1 / 2 x = -11 - (-3 / 2)

= -19 / 2

x = -12 / 2 * 2

= -19

Hope this helped

Wishing u a gr8 day

3 0

3 years ago

What is (-3, 4) translated by (x,y) → (x – 6, y – 5).

AlekseyPX

Answer:

(-9,-1)

Step-by-step explanation:

You plug in the x and y values and solve the algebraic expression.

8 0

3 years ago