The length of ST to the nearest tenth of a foot is 5.2 ft
Step-by-step explanation:
Here we have
∡T = 90°
∡R = 64°
RS = 5.8 ft
To answer the question, we have apply sine rule as follows;

Therefore, for triangle RST, we will have;

Therefore;
from which

Therefore, the length of ST to the nearest tenth of a foot = 5.2 ft.

3 0

3 years ago

Genesis throws a ball up in the air. The graph below shows the height of the ball hh in meters after tt seconds. Find the interv

Juli2301 [7.4K]

We conclude that the interval in which the function decreases is (1.5, 3]

<h3>In which interval is the ball's height decreasing?</h3>

The ball is decreasing when the graph, reading from left to right, is going downwards.

Particularly, in this parabola that opens downwards, the graph will decrease after the vertex.

And we can see that the vertex is at x = 1.5

And we also see that the graph of the function ends at x = 3.

Then we conclude that the interval in which the function decreases is (1.5, 3]

If you want to learn more about parabolas:

brainly.com/question/4061870

#SPJ1

5 0

2 years ago

Luis bought stock at $83.60. The next day, the price increased $15.35. This new price changed by -4 and 3/4 (mixed number) the f

olga_2 [115]

For the answer to the question above,
$83.60 Increase 15.35 dollars 83.60 = $98.95
So the new price will be = $98.95
%4.75 Of $98.95 = $4.700125 Rounded it off to about $4.70
$98.95- $4.700125 = $94.249875 Rounded to about $94.25

The Final stock price was $94.249875 or about $94.25

I hope my answer helped you. Have a nice day!

5 0

3 years ago

I made a square frame for my favorite bird picture from four wooden pieces. Each piece is a rectangle with a perimeter of 24 inc

kupik [55]

Answer:

The perimeter of the picture frame is 38.4 in.

The area of the picture frame is 92.6 in.².

Step-by-step explanation:

The given information are;

Perimeter of side piece of picture frame = 24 inches

Length of side piece = L

Width of side piece = W

Perimeter of side piece = 2 × (L + W) = 24

∴ L + W = 24/2 = 12 inches

Dimension of picture frame = Square frame with side length s

Number of side piece in picture frame = 4

Given that the length L > the width W, we have

Side length of wooden frame = L

Also, where the side piece are placed side by side, we have;

Side length of wooden frame = 4 × W

Therefore;

4 × W = L

Which gives

L + W = 12 inches

4 × W + W = 12 inches

W×(4 + 1) = 5·W = 12 inches

W = 12/5 = 2.4 inches

L = 4 × W = 4 × 12/5

L = 48/5 = 9.6 inches Side length of wooden frame, s

The perimeter of the picture frame = 4 × s = 4 × 9.6 = 38.4 in.

The area of the picture frame = s × s = 9.6 × 9.6 = 92.6 in.².

7 0

3 years ago