Answer:
C. 17.6
General Formulas and Concepts:
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = 40°
Opposite Leg = <em>x</em>
Adjacent Leg = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [tangent]:
- [Multiplication Property of Equality] Isolate <em>x</em>:
- Rewrite:
- Evaluate:
- Round:
Answer:6 7/15
Step-by-step explanation:
Add the whole numbers separately = 5
Then deal with fractions, find common denominator (15)
12/15+10/15=22/15
Simplify 22/15= 1 7/15
Combine whole numbers and fractions 6 7/15
Answer:
53.2 gallons
Step-by-step explanation:
let 't' = tank
t + t + t/2 = 266
5/2t = 266
multiply each side by 2/5 to get:
t = 106.4
the two larger tanks can each hold 106.4 gallons
the smaller tank can hold 53.2 gallons
Answer:
Step-by-step explanation:
Given that:
As we know that the Parabola is of type
:
= -4a(y - ) where: is the origin of the line so we have:
and
<=> = -4a(y-20)
at y = 0, we have:
= -4a(0-20)
<=>
<=> x = ±
But we know that 2x= 80 <=> x= 40, so:
40 =
<=> 1600 = 80a
<=> a = 20
The equation for the parabola is:
It's height from the center at x= 0 => y= 20