Answer:
A landscape architect recommends installing a triangular statue with
vertices at (10, −10), (10, −8), and (7, −10).
a. Is the triangle congruent to triangle T ? Justify your answer.
b. Propose a series of rigid motions that justifies your answer to part a.
6. Another landscape architect recommends installing a triangular statue
Step-by-step explanation:A landscape architect recommends installing a triangular statue with
vertices at (10, −10), (10, −8), and (7, −10).
a. Is the triangle congruent to triangle T ? Justify your answer.
b. Propose a series of rigid motions that justifies your answer to part a.
6. Another landscape architect recommends installing a triangular statue
Answer:
30 or 780 is your answer for the first one. i dont know how to work out the answer for the 2 one im sorry :(
Step-by-step explanation:
13+12+5 = 30
13 x 12 x 5 = 780
I would go for 780
it seems more like to be the answer
So,
First, I'd like to note that it is required to show work. You shouldn't need to ask for steps.
7(2p + 3) - 8 = 6p + 29
Distribute
14p + 21 - 8 = 6p + 29
Collect Like Terms
14p + 13 = 6p + 29
Subtract 6p from both sides
8p + 13 = 29
Subtract 13 from both sides
8p = 16
Divide both sides by 8
p = 2
Check
7(2(2) + 3) - 8 = 6(2) + 29
Simplify inside the parentheses first.
7(4 + 3) - 8 = 6(2) + 29
7(7) - 8 = 6(2) + 29
Now, distribute.
49 - 8 = 12 + 29
Collect Like Terms
41 = 41 This checks.
S = { 2 }
Volume = pi * radius^2 * height
= 3.14 * 5^2 * 13
= 3.14 * 25 * 13
= 1020.5
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
