Answer:
length = 31 ft
width = 19 ft
Explanation:
Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12
The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w
Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.
Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft
Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft
Hope this helps :)
Answer:
Step-by-step explanation:
The bottom leg is divided into equal segments, one of them is b.
It means the bottom leg is b + b = 2b.
<u>According to Pythagorean:</u>
<u>Solve for b:</u>
- 1681 = 4b² + 81
- 4b² = 1681 - 81
- 4b² = 1600
- b² = 400
- b = √400
- b = 20 cm
Answer:
d = 126, z = 28
Step-by-step explanation:
The angle with the variable is diagonal from the 105 degree angle. In this case, that means that they are equivalent. So, 105+21 = 126. d = 126 :)
9514 1404 393
Explanation:
<u>Part B</u>:
Draw an open circle at x=5. Shade that portion of the number line that exists to the right of the open circle. The solution set is the shaded portion of the number line.
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<u>Part C</u>:
Any value from the shaded portion of the number line can be used to check the inequality is true. The value at the open circle, or any value to the left of it can be used to check that the inequality is false. For example, one might use values of -5, 5, and 10. Choosing values that are multiples of 5 can make the arithmetic easier.
<u>x = -5 (expect false)</u>
-2/5(-5) < -2
10 < -2 . . . . False
<u>x = 5 (expect false)</u>
-2/5(5) < -2
-2 < -2 . . . . False
<u>x = 10 (expect true)</u>
-2/5(10) < -2
-4 < -2 . . . . True
Answer:
51
Step-by-step explanation:
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