What is the area of the shaded region?<br> PLEASE ANSWER AS SOON AS POSSIBKE

A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal

Sever21 [200]

Answer:

35 m/s

Step-by-step explanation:

Let gravitational acceleration g = 9.8m/s2. We can calculate the amount of time for the ball to fall vertically a distance of 1.6 m

$1.6 = 9.8t^2/2$

$t^2 = 2*1.6/9.8 = 0.327$

$t = \sqrt{0.327} = 0.571s$

This is also the time it takes for the ball to fly horizontally, assume constant horizontal speed, we can calculate the speed it takes to travel across 20m in 0.571s

v = 20 / 0.571 = 35 m/s

4 0

3 years ago

Juanita has 3 rectangular cards that are 8 inches by 9 inches. How can she arrange the cards, without overlapping, to make one l

ivann1987 [24]

Answer:

Step-by-step explanation:

Given

3 rectangular cards
each card is 8 inches by 9 inches

The way that she can arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter is that:

Put 3 cards together according to the length

So the smallest possible perimeter is:

8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 = 66 inches as you can see in the attached photo.

The area of the polygon is equal to the combined area of the 3 cards without overlapping or extending.

Hope it can find you well.

6 0

3 years ago

NEED HELP ASAP!! WILL MARK BRAINLIEST IF ITS RIGHT!!

Karo-lina-s [1.5K]

Answer:

First one: yes

Second one: yes

Third one: no

Step-by-step explanation:

To find the midpoint of a line segment, you take the x and y coordinates of the 2 points, add each of them up, and divide each of them by 2.

First one: x = (1+3)/2 = 2, y = (2+4)/2 = 3, so it's correct.

Second one: x = (-1+3)/2 = 1, y = (1+-1)/2 = 0, so it's correct.

Third one: x = (-3+-1)/2 = -2, y = (0+5)/2 ≠ 2, so it's not correct.

I really hope this helped.

3 0

3 years ago

Given: A, B, and C What is the value of X in the matrix equation AX + B = C?

Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

$A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}$

$B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$

$C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}$

AX + B = C

AX = C - B

C - B = $\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$ = $\begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}$