Answer:
i. The length of the trap door is 12 feet, and its width is 7 feet.
ii. The perimeter of the trap door is 38 feet.
Step-by-step explanation:
The area of the trap door = 84 square feet. But the dimension of the grand piano =
by
.
For the piano to pass through the door conveniently, the width of the door should be wider than that of the piano. And its length the same. Given that the length and side measure of the door has to be a whole number, then;
The width of the door would be 7 feet, so that:
Area of the door = length × width
84 = l × 7
⇒ l = 12
The length of the trap door is 12 feet, and its width is 7 feet.
2. Since the traap door has a shape of a rectangle, thus:
perimeter of the trap door = 2 (length + width)
= 2 (12 + 7)
= 38 feet
The perimeter of the trap door is 38 feet.
Answer:
21 % increase
Step-by-step explanation:
Lets imagine the sides of the rectangle are 100 & 200 cms.
The area would be 100 x 200 = 20000cm^2
If we added 10% onto each side, the sides would now be 110 & 220 cms.
The area would be 110 x 220 = 24200cm^2
We can now find percentage change:
= 21/100 = 21% increase.
The reason we can just pick random values of sides to do this question with is because we worked out percentage change, which will be the same no matter the proportion of the sides.
Hope this helped! Let me know if you have any questions :)
Answer:
JLP = 16 degrees.
Step-by-step explanation:
KNP = 90 degrees. KNP is the supplement of NPL which is a right angle
KPN + PNK + PKN = 180 degrees. All triangles have 180 degrees.
- KPN = 44 Given
- PNK = 90 1st step here
- PKN = ?
Find JKN
- 44 + 90 + PKN = 180
- 134 + PKN = 180
- PKN = 180 - 134
- PKN = 46
- JKN = 2*PKN The angle is bisected. PKN = 1/2 JKN
- JKN = 2*46 = 92
J + JKL + L = 180
56 + 92 + L = 180
148 + L = 180
L = 32
1/2 L = JLP
JLP = 16 degrees
Answer:
![n \leqslant 2.4](https://tex.z-dn.net/?f=n%20%5Cleqslant%202.4)
Step-by-step explanation:
![6 - 2n \geqslant \frac{1}{2} n](https://tex.z-dn.net/?f=6%20-%202n%20%5Cgeqslant%20%20%5Cfrac%7B1%7D%7B2%7D%20n)
Subtract 6 from both sides:.
![- 2n \geqslant \frac{1}{2} n - 6](https://tex.z-dn.net/?f=%20-%202n%20%5Cgeqslant%20%20%5Cfrac%7B1%7D%7B2%7D%20n%20-%206)
Subtract 1/2n from both sides:
![- 2 \frac{1}{2} n \geqslant 6](https://tex.z-dn.net/?f=%20-%202%20%5Cfrac%7B1%7D%7B2%7D%20n%20%20%5Cgeqslant%20%206)
![2 \frac{1}{2} n \leqslant 6](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B2%7D%20n%20%5Cleqslant%206)
Multiply 2 on both sides:
![5n \leqslant 12](https://tex.z-dn.net/?f=5n%20%5Cleqslant%2012)
Divide both sides by 5
![n \leqslant 2.4](https://tex.z-dn.net/?f=n%20%5Cleqslant%202.4)