Answer:
Step-by-step explanation:
approximately 0.94625 liters per second
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
The answer should be d.
We need to break out from the brackets by multiplying 5 with each elements inside the bracket.
Answer:
The perimeter of the rectangle is 10.5p + 10.7q - 3.8r
Step-by-step explanation:
The perimeter of the triangle is calculated by adding the values of the three sides.
In this case, the values of the individual sides are expressed algebraically.
We can still add them, however, taking into consideration like terms.
Perimenter of triangle = (4.1p+4.4q) + (6.4p-5.1r) + (1.3r+6.3q)
Perimeter = 4.1p + 6.4p + 4.4q + 6.3q -5.1r + 1.3r
Now we have grouped them, we can add the different groups separately
Perimeter = 10.5p + 10.7q - 3.8r
Therefore, the perimeter of the rectangle is 10.5p + 10.7q - 3.8r
