Answer:
Mrs. Habib will have 22.25 feet of border left after she puts border around the board.
Step-by-step explanation:
You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is
, where
the length of the board, and
the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:

Now you can just solve for the perimeter.


The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.
Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.
Answer:
(11/4) is the slope
Step-by-step explanation:
1) Subtract the second y value (-9) by the first y value (2) in the coordinates. This equals 11.
2) Then, subtract the second x value (-3) by the first x value (1) in the coordinates. This equals 4.
3) Divide the answer you get for step one by the answer for step 2 and that's your slope. 11/4
well, clearly the LCD from the denominators of 5 and 10 is just 10, thus

The length of the bridge is 12.12 feet.
The length the dog swam is 32.36 feet.
The situation forms a right angle triangle.
<h3>What is a right angle triangle?</h3>
A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.
The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.
Therefore,
Let's find the length of the bridge as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / l
cross multiply
l = 30 / tan 68
l = 12.1212121212
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
learn more on right triangle here: brainly.com/question/22734914
If 20 feet cost $36 then you can divide 36 by 20 to see how much one foot would cost. The answer is $1.80. Then multiply $1.80 x 15 feet and you get $27