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Answer:
b. 9 inches
Step-by-step explanation:
The area of a triangle is given by ...
A = 1/2bh
Solving for h, we get ...
h = 2A/b
h = 2(36 in²)/(8 in) = 72/8 in
h = 9 in
The height of the triangle is 9 inches.
Here's the work:
Density = mass/volume = 129g/(5*3*2) cm^3 = 4.3 g/cm^3.
2. |x|=-7
-x=-7. x=-7
x=7. x=-7
We are told that Tristan is planting a garden that's square shaped and its area is 64 square meters. Because 8 * 8 = 64, we have a square where each side is 8 meters along.
From an algebra point of view, where s is a side of the square,
s² = 64
s = 8 or s = -8 by taking square roots of both sides
s = 8 by discarding the -8 (lengths cannot be negative)
Now that we know a square's side we need its perimeter. Each side is the same, so a square's perimeter is four times a side.
4 * 8 = 32, which is our perimeter.
Therefore 32m² of material are needed.