Answer:

Step-by-step explanation:
Step one:
Given data
dimension of the rectangle
Width = 8y-1.5
Length = 1.5y+9
Required
The expression to represents the Perimeter
Step two:
the perimeter of a rectangle is expressed as

collect like terms

<span> Do you mean this one? </span>∑
It is summation.
Answer:
Step-by-step explanation:
- x + y + z = -3 --> (1)
- 3y - z = 4 --> (2)
- 2x - y - 2z = -5 --> (3)
<u>Add up (1) and (2)</u>
- x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)
<u>Double (2) and subtract from (3)</u>
- 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
- 2x - 7y = -13 --> (5)
<u>Double (4) and subtract (5)</u>
- 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1
<u>Finding x</u>
- x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3
<u>Finding z</u>
<u>So the answer is: </u>
he formula to find area of a triangle is (base × height) ÷ 2
The area of the first triangle = (6 × 2) ÷ 2 = 6
The area of the second triangle = (7 × 3) = 10.5
Total area of the logo is 6+10.5 = 16.5 cm²
Answer:
Formula for volume of square pyramid:-
V = 1/3 x a^2 x h
Where 'a' is the length of one side of the base, and 'h' is the height.
Plug in our values, given that:
16.6m = side length of base.
9.1m = height of pyramid.
V = 1/3 x a^2 x h
V = 1/3 x 16.6^2 x 9.1
V = 1/3 x 275.56 x 9.1
V = 1/3 x 2507.596
V = 2507.596/3
V = 835.865, which rounds to <u>835.9 cubic meters</u>.