Answer:
θ = 49.4584°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = ?
Adjacent Leg = 13
Hypotenuse = 20
<u>Step 2: Find Angle</u>
- Substitute in variables [cosine]: cosθ = 13/20
- Inverse Trig: θ = cos⁻¹(13/20)
- Evaluate: θ = 49.4584°
The car will travel 30 2/3 miles in 45 mins. The car will travel 40 miles in 1 hour hope this was helpful
Answer:
11
Step-by-step explanation:
5(2+4)-(2+3^3)
=5(8)-(2+27)
=40-29
=11
Below is the solution:
f(x)=−4(x2−6x+9−9)−29
<span> (</span>x2−6x+9)=(x−3)(x−3)
f(x)=−4((x−3)2−9)−29
f(x)=−4(x−3)2−4(−9)−29
f(x)=−4(x−3)2+36−29
f(x=−4(x−3)2+7
f(x)=−4(x−3)2+7
That's
the equation we got by completing the square.
y=a(x−h)2+k
That's
the formula of a parabola in "vertex" form. Notice the similarity?
The two are equal if we say
y=f(x)
a=−4
h=3
k=7
Therefore the answer is C, <span>−4(x − 3)2 + 7; The maximum height of the water is 7 feet.</span>