Answer:
x = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
40° + (2x + 30)° + 40° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 2x + 110 = 180
- Subtract 110 on both sides: 2x = 70
- Divide 2 on both sides: x = 35
Y = x^2 is the parent function.
y = (x - 2)^2 would translate 2 units to the right
y = (x - 2)^2 - 2 would translate 2 units to the right and also 2 units down
y = - (1/2) (x - 2)^2 - 2
would reflect the parabola upside down, and also make it wider
Your answer is A !! go for it !!
The answer is 10.6 cubic inches.
The formula for a volume of the cone is V = 1/3 π r² h,
where:
V - the volume of the cone,
<span>r - radius of the cone base,
</span>h - height of the cone.
It is given:
h = 4.5 in
r = 1.5 in.
π = 3.14
If:
<span>V = 1/3 π r² h,
</span>Then:
V = 1/3 × 3.14 × (1.5 in)² × 4.5 in
V = 1/3 × 3.14 × 2.25 × 4.5 in³
V = 10.6 in³
Therefore, Judy's sugar cone can hold 10.6 <span> in³.</span>
