The volume is given by:
V = L * Apb * h
Where,
L: side of the base
Apb: apothema of the base
h: height
Substituting we have:
V = (4) * ((root (3) / 2) * 4) * (6)
Rewriting we have:
V = (4) * ((root (3) / 2) * 4) * (6)
V = 96 * (root (3) / 2)
V = 48 * root (3)
Answer:
V = 48 * root (3)
Answer:
x ≈ 14.30
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define variables</u>
∅ = 39°
opposite leg = 9
hypotenuse = x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin39° = 9/x
- Multiply <em>x</em> on both sides: xsin39° = 9
- Isolate <em>x</em>: x = 9/sin39°
- Evaluate: x = 14.3011
- Round: x ≈ 14.30
Answer:
f(-2) = 5
Step-by-step explanation:
To find f(-2), plug in -2 wherever there is an x.
f(x) = 4x² + 3x - 5
f(-2) = 4(-2)² + 3(-2) - 5
f(-2) = 4(4) + 3(-2) - 5
f(-2) = 16 - 6 - 5
f(-2) = 10 - 5
f(-2) = 5
Answer:
= -9
Step-by-step explanation:
"increased by" means addition
-21 + 12 or 12-21
= -9
Answer: Nothing happens to the area
Why? Translate means you are just moving the same triangle to a new location on the graph
